Use properties of logarithms to expand the expression as much as possible.

Name: Use properties of logarithms to expand the expression as much as possible.
Brand: Quizplus
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Question

Quizplus · Accepted Answer

Using the product rule of logarithms, we have:

$log_7(x+3)(x-3)(9x+1) = log_7(x+3) + log_7(x-3) + log_7(9x+1)$

Then, using the quotient rule of logarithms, we have:

$log_7\frac{(x+3)(9x+1)}{x-3} = log_7(x+3) + log_7(9x+1) - log_7(x-3)$

So the answer is D, which has the correct expression.

Use Properties of Logarithms to Expand the Expression as Much