Question

If $\frac{\log 64}{\log 8}=\log x$, then value of $x$ is

• A. $100$
• B. $112$
• C. $165$
• D. $95$

Answer 1

The correct option is A $100$

$\frac{\log 64}{\log 8}=\log x\text{Solving LHS}=\frac{2\log 8}{\log 8}=2\text{Assumin base 10}\log x=2x={10}^2=100$