Select the correct answer from the drop-down menu.
8
3
For a certain base, blogi
and
slog, 0.5 = -1
The value of log, 46
Re
Answers
Answer:
the correct answer is 3
Step-by-step explanation:
just took it on edmentum
The value of the expression [tex]log_b(4b) = 3.[/tex]
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use logarithmic rules to solve this problem.
First, we know that log_b(8) = 3.
Using the definition of logarithms, this means that b³ = 8.
Solving for b, we find that b = 2.
Next, we know that log_b(0.5) = -1.
Using the definition of logarithms, this means that b^(-1) = 0.5.
Solving for b, we find that b = 2.
Since both expressions have the same base, we can use the logarithmic rule that states log_b(xy) = log_b(x) + log_b(y) to simplify log_b(4b) as follows:
[tex]log_b(4b) = log_b(4) + log_b(b)[/tex]
We can use the logarithmic rule that states:
log_b(b) = 1 to simplify log_b(b):
[tex]log_b(4b) = log_b(4) + 1[/tex]
Now, we can use the logarithmic rule that states:
[tex]log_b(x) = log_c(x)/log_c(b)[/tex]
To convert log_b(4) to a base 2 logarithm:
[tex]log_b(4) = log_2(4)/log_2(b) = 2/1 = 2[/tex]
Substituting this into the expression we found earlier, we get:
[tex]log_b(4b) = log_b(4) + 1 = 2 + 1 = 3[/tex]
Therefore,
[tex]log_b(4b) = 3.[/tex]
Learn more about expressions here:
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Related Questions
the empire state building weighs about 7.3 x 10^8 pounds. the one world trade center building weighs about 88,200,000 pounds. what is the total weight in pounds of these two building
Answers
Answer:
7.30000088 x 10^8 or 730,000,088
Step-by-step explanation:
64 + __ = 8 (8+4) The underscore is a blank I’m not sure how to do this
Answers
Answer:
32
Step-by-step explanation:
Solve the RHS first:
8(12) = 96
64 + ? = 96
64 + 32 =96
A bag contains 9 RED beads, 8 BLUE beads, and 3 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN
Answers
Answer:
0.6 = 60% probability that the bead is RED or GREEN.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
There are 9 + 8 + 3 = 20 beads.
Of those, 9 + 3 = 12 are red or green.
So, there is a [tex]\frac{12}{20} = 0.6[/tex] probability that the bead is RED or GREEN.
Do I multiply to solve
Answers
Answer:
Yes you do btw the answer is 1/2
Step-by-step explanation:
ANSWER!
1/2
Help plz
ASAP
Due at 11:59
Answers
Answer:
D
Step-by-step explanation:
Each term is the previous term subtracted by 6.
A chemical compound requires 8 ounces of chemical A and 12 ounces of chemical B. A mixture contains 24 ounces of chemical A and 30 ounces os chemical B. How can you fix the mixture to make the chemical compound.
Answers
Answer:
By adding 6 ounces of chemical B in the mixture
Step-by-step explanation:
Ratio of chemical A and B in compound
A/B=8/12
Ratio of chemical A and B in mixture
A/B=24/30
if we add 6 in denominator
A/B=24/36=8/12
Which expression represents the length
of this segment?
PLEASE HELP ME URGENT I give BRAINLY
Answers
Answer:
I think it should be x+4
Step-by-step explanation:
because if u r finding for the overall segment we will add the x units with the four units.
You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are filled with cream. You and a friend pick a chocolate at random. What is the probability that you both pick chocolate
Answers
Answer:
10.34% probability that you both pick chocolate
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
10 are filled with chocolate, and we want to pick 2. So
[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Total outcomes:
The box has 30 chocolates, and 2 are picked, so:
[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]
Probability:
[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]
10.34% probability that you both pick chocolate
joe earns an allowance of $10 for each chore he does. he also earns $200 fee for doing his brothers chores for the week. which expression represents how much joe would learn for doing his chores
A: 10 c + 20
B: 20 c
C: 10 c
D: 20c - 10
Answers
Answer: C
Hope this helps!
Answer:
10c + 200
Step-by-step explanation:
c stands for chores
10 is the amount of $ earned for each chore he does
200 stands for the fee
Do the two lines remain parallel as they are rotated about the center point? Why or why not?
Answers
Answer:
yes
Step-by-step explanation:
if you follow the lines at the same time they stay doing the same thing
43 is 31% ofwhat number
Answers
Answer:
13.33.
Step-by-step explanation:
usjageiudhwkaloahdveb
B
X+2
3
D
E
х
2
С C
A
x = [?]
Answers
Answer: x=x/x times x unless x is pi
Step-by-step explanation:
The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. (0,2)
Answers
Answer: Constant
Step-by-step explanation:
A restaurant sells 10 tacos for $8.50, or 6 of the same kind of taco for $5.40. Which is the better deal? Explain how you know.
Answers
Answer:
10 for 8.50 is .085 for 1 taco and 5.40 for 6 is .90 per taco
Step-by-step explanation:
Which pair of arrows doesn't belong?
Answers
Answer:
I don't understand wat u said
(Vi) y(y+z) + 9(y+2)
Answers
Answer:=ivy2+ivyz+9y+18
Step-by-step explanation: viy(y+z)+9(y+2)
Jeremie bought 5 pounds of bananas for $4.45. How much is 1 pound of bananas? Show or explain your reasoning
what is the strategies for this math problem?
Answers
Answer:
1 pound of bananas is 0.89
Step-by-step explanation:
Money over quantity 4.45/5
that means you divide so heres the layout
4.45/5 = x/1 so that is
5x=4.45 divide 5 so that gives us our variable 5÷5 that cancels out five 4.45 divide by 5 is 0.89
so for every pound of bananas is 0.89
And you would use Unite Rate as your strategy
Answer:
for 1 pound of banana...it is 0.89
Step-by-step explanation:
for 5 pound=4.45
for 1 pound =?(x)
5x=4.45×1
x=4.45/5
x=0.89
A piece of paper measures 8.5 inches by 11 inches. Mrs. Wickowitz wants to hang paper on a bulletin board that has a height of 24 inches and an area of 1,728 square inches. Which inequality best represents the possible whole number of papers, p, that Mrs. Wickowitz could hang.
Answers
whats the same about online school and in-person
for a project pls help thanks :)
Answers
Answer:
You're both learning the same stuff, only in different environments.
Step-by-step explanation:
It doesn't matter about the different environments you are in, you are still learning the same schoolwork that you are required to do.
Answer:
The similarity between online school and in- person is the material learned and how it is taught.
Step-by-step explanation:
PLSSS HELP ME, THANKSSS
Answers
Step-by-step explanation:
What do you need help with?
a fair coin is tossed 3 times. What is the approximate probability of heads apppearing atleast one time
Answers
Possible outcomes of a coin toss are a head or a tail.
Since the coin is tossed three times, there'll be six possible outcomes.
H - headsT - tailsH H H T T T - Possible outcomes
The possibility of a head appearing at least once is therefore 1/3.
Hope it helps. :)
Currently there are 691,255 trees in a national forest. A park ranger discovered that an untreatable disease is killing the
trees at a rate of 1.5% every year.
Lett represent the number of years after the current date. Determine the inequality that can be used to model when there
will be no more than 621,859 trees, and then solve the inequality for t.
Answers
The inequality which will represent the disease killing of trees in the national forest is 691255[tex]0.985^{t}[/tex]<621859 and the value of t is t<7.
What is inequality?An inequality is just like an equation which is presented in greater than sign, less than signs. It also shows relationship between variables like an equation does.
How to form inequality?Total trees present in the beginning=691255
rate at which trees are killed by untreatable disease=1.5%
So the inequality can be formed as under:
691255[tex](1-0.015)^{t}[/tex]<621859
[tex](0.985)^{t}[/tex]<621859/691255
[tex](0.985)^{t}[/tex]<0.89960
[tex](0.985)^{t}[/tex]<[tex](0.985)^{7}[/tex]
By equating we find that t<7.
Hence if 691255 trees are present in the beginning then they will last for more than 7 years to reach 621859.
Learn more about inequality at https://brainly.com/question/11613554
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2x+3x-35-72
find x in this
Answers
Answer:
103
Step-by-step explanation:
Answer:
5x - 107
Step-by-step explanation:
Simplify
Subtract the numbers
Combine like terms
solution
I GIVEEEEEE BRAINLILSTTTTTT
Answers
Answer:
well then try to reinvert it an then x + - an divied it see how easy
Step-by-step explanation:
Standard form (5×100)+(6×10)+(8×1/10)+(6×1/1000)
Answers
Answer:
560 806/1000
Step-by-step explanation:
Answer:
Hi! The correct answer is 280403/500!
Step-by-step explanation:
Solve the simultaneous equations
X + y = 8
3x - y = 12
X =
y =
Answers
Answer:
y= -6
x=14
Step-by-step explanation:
in attachment
Answer: (5,3)
Step-by-step explanation:
Solve by Addition/Elimination
x + y = 8
3x − y = 12
Add the two equations together to eliminate y from the system.
x + y = 8
+ 3x −y = 12
4x = 20
Divide each term in 4x = 20 by 4.
4x = 20
4 4
Cancel the common factor of 4.
x= 20/4
x = 5
Substitute the value found for x into one of the original equations to solve for y.
(5) + y = 8
Remove parentheses.
5 + y = 8
Move all terms not containing y to the right side of the equation.
Subtract 5 from both sides of the equation.
y = 8 − 5
Subtract 5 from 8.
y = 3
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
14 candy bars cost $5.20. How much would one cost? What is the unit rate?
Answers
Answer:
$0.37
Step-by-step explanation:
You can write this equation as, x=$5.20÷14.
This is because we know we are trying to find the x value for 1 candy bar. and 14 costs $5.20 in total. 14÷14=1. Therefore, we essentially divided the total sum among each individual candy bar. (example: if you wanted to find the value of 2 candy bars, you would take half of 14 and divide $5.20 by 7). $5.20÷14=$0.37 or 37 cents per candy bar.
Writing this as a rate is simple; it's $0.37/candy bar
Evaluate 164
a. 4
b. 8
c. 6
d. 2.2
Please select the best answer from the choices provided
O
A
O o
c
Answers
Answer:
The answer is A.
Step-by-step explanation:
64 is a cube number of 4.
4 × 4 × 4 = 64
Please help me 15 point
Answers
Answer:
[tex](x + 8)^2 = 55[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 16x + 17 = 8[/tex]
Required
Get an equivalent equation
[tex]x^2 + 16x + 17 = 8[/tex]
Subtract 17 from both sides
[tex]x^2 + 16x + 17-17 = 8-17[/tex]
[tex]x^2 + 16x = -9[/tex]
Add 64 to both sides
[tex]x^2 + 16x + 64 = -9+64[/tex]
[tex]x^2 + 16x + 64 = 55[/tex]
Expand the expression on the left-hand side
[tex]x^2 + 8x + 8x + 64 = 55[/tex]
Factorize:
[tex]x(x + 8) + 8(x + 8)= 55[/tex]
[tex](x + 8)(x + 8)= 55[/tex]
[tex](x + 8)^2 = 55[/tex]
A National Retail Federation survey found households intend to spend an average of $469 during the December holiday season. Assume that the survey included 600 households and that the sample variance was $375. Calculate the margin of error for a 99% confidence interval.
Answers
Answer:
The margin of error for a 99% confidence interval was of $1.84.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.325[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation(square root of the variance) and n is the size of the sample. In this question, [tex]\sigma = \sqrt{375}, n = 600[/tex]
So
[tex]M = z*\frac{\sigma}{\sqrt{n}} = 2.325\frac{\sqrt{375}}{\sqrt{600}} = 1.84[/tex]
The margin of error for a 99% confidence interval was of $1.84.