1. Tardigrade
  2. Question
  3. Mathematics
  4. If log 10 2=0.3010 and log 10 3=0.4771, then the value of log 10((23 × 32/52)) is :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $\log _{10} 2=0.3010$ and $\log _{10} 3=0.4771$, then the value of $\log _{10}\left(\frac{2^3 \times 3^2}{5^2}\right)$ is :

Logarithms

Solution:

(i) Apply laws of logarithm.
(ii) Use $\log \left(\frac{a}{b}\right)=\log a-\log b$ and $\log a^m=m \log a$.