Question

Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x = 1 x = negative 1 and x = 1 x = 0, x = negative 1, and x = 1

Answer 1

x=1 is the correct answer

Explanation:

got it right on edge!!!!

Answer 2

x = 1

Explanation:

Using the rules of logarithms

log
`x^(n)` ⇔ n log x

`log_(b)` x = n ⇔ x =
`b^(n)`

Given

3
`log_(2)` (2x) = 3

`log_(2)` (2x)³ = 3

(2x)³ = 2³

8x³ = 8 ( divide both sides by 8 )

x³ = 1 ( take the cube root of both sides )

x = 1