Question

If $\lambda ={\log }_{0.001}10000$, then anti ${\log }_{10^3}(\lambda )$ is equal to

• A. 0.01
• B. 0.001
• C. 0.0001
• D. 0.1

Answer 1

Answer: (C)

$\lambda ={\log }_{10^{-3}}\left(10^4\right)=\frac{-4}{3}$
$\therefore \text{ anti }{\log }_{10^3}\left(\frac{-4}{3}\right)={\left(10^3\right)}^{\frac{-4}{3}}=10^{-4}=0.0001$