Question

Evaluate: \[ \log_3\left( 1 \over 27 \right) \]

Answer 1

Here, we are asking, 3 raised to the what power, give 1/27

Answer 2

\[\Large\frac{1}{27}=3^{-3}\]

Answer 3

Then we know that 3 raised to 3 give 27, but we want 1/27, hence, we add a negative sign, -3.