28
QuizMultiple Choice

N/A — Exam

Question 28 • Algebra II

Which equation has x is equal to negative 6 as the solution?

Answer
A
the log base 3 of 216 is equal to x
B
the log base x of 36 is equal to 2
C
log sub x of open paren 2 x minus 9 close paren is equal to 3
D
log sub 3 of open paren negative 2 x minus 3 close paren is equal to 2

Explanation

Substitute x = -6 into choice D: -2(-6) - 3 = 12 - 3 = 9. Since log base 3 of 9 equals 2, choice D is true when x = -6. The other choices either do not give their stated equality or have an invalid negative logarithm base or argument.

AI-written and checked against the verified answer.

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