Question

Find the value of log0.001 base0.01

Answer 1

Step-by-step explanation:

$log _{0.01} {0.001} \: \\ = \frac{log \: 0.001}{log \: 0.01} \\ = \frac{log \: 10 ^{ - 3} }{log \: 10^{ - 2} } \\ = \frac{ - 3 \: log \: 10}{ - 2 \: log \: 10} \\ = \frac{3}{2}$