Question

Which of the following shows the true solution to the logarithmic equation 3log2(2x)=3

A.x=-1
B.x=1
C. x=-1 and x=1
D. x0 x=-1 and x=1

Answer 1

B. x=1, I just took the test

Answer 2

Option B is correct.

Explanation:

Given logarithmic equation,

`3log_2(2x)=3`

`log_2(2x)=(3)/(3)`

`log_2(2x)=1`

since base of the log function is 2.

we take power of 2 on both sides.

`2^(log_2(2x))=2^1`

2x = 2

x = 1

Therefore, Option B is correct.