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1 year ago

Write each expression as a single logarithm. log₄2+log₄8

Mathematics

1 answer:

kolezko [41]1 year ago

4 0

If the expression is log₄2+log₄8, then it will look like $log_{4}16$ in single logarithm form.

Given that the expression is log₄2+log₄8.

We are required to express the given expression in single logarithm.

Product property of logarithm basically tells that says that the logarithm of a product is equal to a sum of logarithms and because logs are exponents, and we multiply like bases, we can add the exponents.

The expression is log₄2+log₄8.

log₄2+log₄8= $log_{4}$ (8*2) (We are not required to write the base separately)

= $log_{4}$ 16

Hence if the expression is log₄2+log₄8, then it will look like $log_{4}16$ in single logarithm form.

Learn more about product property of logarithm at brainly.com/question/14765705

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