Question

If $\frac{\log 225}{\log 15}=\log x$, then the value of $x$ is equal to

• A. $400$
• B. $300$
• C. $200$
• D. $100$

Answer 1

The correct option is D $100$

Given, $\frac{\log 225}{\log 15}=\log x$

$⟹\frac{\log {15}^2}{\log 15}=\log x$

$⟹\frac{2\log 15}{\log 15}=\log x$ (Using $\log a^b=b\log a$)

$⟹\log x=2$

$⟹\log x=\log 100$

$⟹x=100$.