Problem 50 of 7
Expand logarithm using product law: log_2(8y).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
rewrite log of product as sum.
Hidden until you reveal it.
Rewrite log of a product as a sum for numeric and algebraic arguments.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Identify factors inside the logarithm.
2. Apply log_b(MN)=log_b(M)+log_b(N).
3. Keep sums inside factors grouped when they are not products.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Expanding log of a sum.