13
QuizMultiple Choice

Exponential and Logarithmic Functions: Part Two — Test

Question 13 • Advanced Algebra: Concepts and Connections

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

Answer
A
5
B
1 third
C
16 thirds
D
4

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.

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