Question

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.

Answer 1

$\log \frac{x^5}{z}$

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:

$5\log x-\log z$