Question

Without use of log table explain.

\[ \log \frac{(0.01)^{2}}{1.5} \]

Answer 1

ANSWER IS :- { -4.18 }

Answer 2

log\(\frac{(0.01)^2}{1.5}\) = log(0.01)² - log 1.5 (log A/B = log A - log B)

= 2 log 0.01 - log 3/2

= 2 log 1/100 - (log 3 - log 2)

 = 2 log 10^-2 - log 3 + log 2

 = 2 x -2 log 10 - log 3 + log 2

 = -4 x 1 - 0.4771 + 0.3010 (\(\because\) log 10 = 2, log 3 = 0.4771, log 2 = 0.3010)

 = -4 .4774 + 0.3010

 = -4.1761