Question

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 :

• A. 0.4592 .
• B. 0.5492 .
• C. 0.4529 .
• D. 0.5429 .

Answer 1

Answer: (A)

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