Solve for x: 3500=700*2^8x Check all that apply.

3500=700 \times 2 ^ { 8x }

\frac{3500}{700}=2^{8x}

5=2^{8x}

2^{8x}=5

\log(2^{8x})=\log(5)

8x\log(2)=\log(5)

8x=\frac{\log(5)}{\log(2)}

8x=\log_{2}\left(5\right)

x=\frac{\log_{2}\left(5\right)}{8}

[tex]\text{The \textbf{value} of x is\ } \dfrac{\log(5)}{8\og(2)} \ \text{and} \dfrac{\ln(5)}{8\ln(2)} \text{\ for the \textbf{equation},}\ 3500=700\times 2^{8x}.[/tex]

So, option c) and d) are correct.

Logs with base a, they are called Common Logs and Logs with base e are called Natural Logs.

[tex]\text {Thus,x=\dfrac{\log(5)}{8\log(2)} and}[/tex]

Given equation:

[tex]3500=700\times 2^{8x}\\[/tex]

In order to solve it for x first take logarithm both sides of the equation as follows:

We can take log natural as well as common log

1. taking common log:

[tex]log(3500)=log(700\times 2^{8x})\\log(3500)=log(700)+log( 2^{8x})\\log(3500)-log(700)=8x\ log( 2)\\\\log\dfrac{3500}{700}=8x\ log( 2)\\\\log5=8x\ log2[/tex]

Evaluating x as follows:

[tex]x=\dfrac{\log(5)}{8\log(2)}[/tex]

2. Similarly on taking natural log:

[tex]x=\dfrac{\ln(5)}{8\ln(2)}[/tex]

[tex]\text{Thus, the \textbf{value} of x is\ } \dfrac{\log(5)}{8\og(2)} \ \text{and} \dfrac{\ln(5)}{8\ln(2)}[/tex][tex]\text {Thus,x=\dfrac{\log(5)}{8\log(2)} and}[/tex]

So, option c) and d) are correct.

Learn more about logarithms, here:

https://brainly.com/question/29775602

#SPJ6

A factory packed 85 teddy bears into large boxes for delivery to a toy store. Each large box held 9 teddy bears. The remaining bears was packed into a small box. How many teddy bears were packed in the small box. what i am asking is what the remainder for this question.

What is the mean high temperature for this week

What does "of" mean in a persent question

Kara bought a chain originally marked $39.70. The
salesclerk told her she would get a 22% discount. How much
money did she save?
$8.73
$7.24
$30.97
$28.70

HELP!!
Given 3 is a leg of a right triangle and 13 is the hypotenuse, what is the length of the other leg of the right triangle? Round
your answer to the nearest hundredth (2 decimal places)

is 15.19 less than 15.162?

A tank that is 30% full contains 651 gallons of water. How much water does the tank hold when it is full?

Question 1 options:

1,620 gallons


2,160 gallons


1,627.5 gallons


2,170 gallons

Airlines A and B each operate one flight per day between the cities of Hartford and Chicago; the daily passenger volume between the two cities is 350. Because the quality of service and departure times for both airlines are similar, we assume that passengersselect the flights with equal probability and independently of one another.

Required:
a. Let X denote the number of passengers on the flight operated by airline A. Describe the exact distribution of X; name it and identify the parameters.
b. If the plane for airline A carries 210 seats there is a positive probability that more than 210 passengers will turn up, in which case not all passengers can be accommodated. Estimate the probability of "overbooking"
c. Denote by n the minimum number of seats the aircraft should contain if it is desired that the probability of exceeding the seating capacity be less than 0.01. Find n

Pls help!!!
If John and Peter share some money in the ratio 3:4, what fraction of the money does John receive?

The radius of a circle is 19cm find its area in terms of π

2 quarts of milk cost $2.52. How much does one quart cost?

I need help with this

What is the distance from 0 to point g on the number line

Please help me I need this answer

simple math! (i'll mark you)

What quantity is being measured: 54ON

Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC?
Question options:
A) To the left five units, down three units.
B) To the right five units, up three units.
C) To the right five units, down three units.
D) To the left five units, up three units.

Show below is a blueprint for a rectangular kennel at a pet hotel.

What is the total length of fencing needed to enclose the kennel?

i giveeeeeeeeeeeeeeeee brainlilstttttt

Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49. How many small dogs did Ryan walk?
Ryan walked
small dogs.

A DEPOSIT OF $600 EARNS 2.5% INTEREST FOR 6 YEAR?

Maximum carrying capacity

Write an example of the Commutative Property of Multiplication.
help pleassssssseeee

Mr. Herrera has 4 cups of raisins to serve to his students as a snack. How many 19 of a cup of servings can Mr. Herrera make?

Work out the area of this triangle, stating the units of your answer.​

If line p has a slope of -1/2, what is the slope of a line ;
perpendicular to p? parallel to p?

50 points but take out the 0

Find the measure of angle x in the figure below:


60°

50°

110°

70°

The bottom of a boat lles 7 feet below the surface of the water the boat stands 18 feet above the surface of the water.
Which expression can be used to find the difference between the two values?
07-18
18-(-7)
18 - 7
07+ (-18)

The volleyball coach wants to buy new warm-up suits for her team. The suits cost $20. The coach has $210. How many warm-up suits can she buy?​

Find the volume of the cube