Question

Rewrite as a combination of multiple logarithms:

log_8 (10xy^3)

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Answer 1

The answer to your question is letter B. log₈10 + log₈x + 3log₈y

Explanation:

Just remember the properties of logarithms

- The logarithm of a product is the sum of logarithms.

- The logarithm of a power is equal to the power times the log.

Then

log₈(10xy³) = log₈ 10 + log₈x + log₈y³

and finally

log₈10 + log₈x + 3log₈y