Question

What is the solution to the equation below? 4•3^x=27.48

round your answer to 2 decimal places
A. x=1.33
B. x=2.96
C. x=2.29
D. x=1.75

Answer 1

D. X=1.75

Explanation:

To start, let’s divide both sides by 4.

So 3^x =27.48/4

Since we want to solve for x, we take the log_3 of both sides.

So
`log_(3)3^x`=
`log_(3)6.87`

Using the laws of logs, we get

`x*log_(3)3`=
`log_(3)6.87`

since
`log_(3)3` is 1, we get

X=
`log_(3)6.87`

Using a calculator, we find that x is about 1.75