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

Answer:

x = 1

Step-by-step 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