Question

Looking to, express the given logarithm as a sum and/or difference of logarithm. If possible simply and assume that all variables represent positive real numbers.

Answer 1

Given:

$\log _8\text{ }\frac{3}{19}$

Use the logarithm rule below:

$\log _a\frac{x}{y}=\log _ax\text{ - }\log _ay$

To simplify this, we have:

$\log _83\text{ - }\log _819$

ANSWER:

$\log _83\text{ - }\log _819$