Rewrite as a single logarithm and then simplify the result.

Name: Rewrite as a single logarithm and then simplify the result.
Brand: Quizplus
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Question

Rewrite  as a single logarithm and then simplify the result.

Quizplus · Accepted Answer

Writing the given expression as a single logarithm:
log₄₅(x-3) + log₄₅(x+3) - log₄₅(x²-9)
= log₄₅[(x-3)(x+3)/(x²-9)]
= log₄₅(x²-9)/(x-3)(x+3)
= log₄₅((x+3)/(x-3))²
= 2log₄₅((x+3)/(x-3))
So the answer is D, 11eb80b1_af98_b761_a291_636912146bfd_TB8633_11.

Rewrite as a Single Logarithm and Then Simplify the Result