Question

Rewrite each expression as sums and differences in terms of ln(x), ln(y), and ln(z).
ln(xyz^3)

Answer 1

`ln(x) + ln(y) + 3ln(z)`

Explanation:

Using the properties of the logarithms, you can rewrite a multiplication of terms inside a logarithm as the sum of the logarithm of each term.

`ln(a*b) = ln(a) + ln(b)`

The second property used tell us that the exponent can multiply the result of the logarithm.

`ln(a^b) = b*ln(a)`