21
QuizMultiple Choice

N/A — Exam

Question 21 • Algebra II

Which of the following shows the true solution to the logarithmic equation 3 log sub 2 2 x is equal to 3 ?

Answer
A
x is equal to negative 1
B
x is equal to 0 , x is equal to negative 1 , and x is equal to 1
C
x is equal to negative 1 and x is equal to 1
D
x is equal to 1

Explanation

Divide both sides of 3 log₂(2x) = 3 by 3 to get log₂(2x) = 1. Since log₂(2) = 1, this means 2x = 2, so x = 1. This value is valid because the logarithm’s input, 2x, must be positive; choice A, x is equal to 1, is correct.

AI-written and checked against the verified answer.

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