Use the properties of logarithms to expand logEach logarithm should involve only one variable and should not have any exponents.Assume that all variables are positive.

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asked Jun 14, 2023 37.3k views

1 Answer

Shardendu · Answer 1 · 2023-06-19T04:59:22+0000

$\log (x^5)/(z)$

The logarithm of a division can be expressed as the substraction of two logarithms with the same base, it should look like this:

$\log x^5-\log z$

then the first logarithm has an exponent that can be removed by finding a product between the exponent and the logarithm, it should look like this:

$5\log x-\log z$