8
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 8 • Algebra II

What is the solution of log sub 2 of open paren 3 x minus 7 close paren is equal to 3 ?

Answer
A
4
B
5
C
1 third
D
16 thirds

Explanation

Rewrite the logarithmic equation in exponential form: log₂(3x − 7) = 3 means 3x − 7 = 2³ = 8. Solving gives 3x = 15, so x = 5; this satisfies the logarithm’s domain because 3(5) − 7 is positive. The solution is 5, choice B.

AI-written and checked against the verified answer.

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