Courses
Courses for Kids
Free study material
Free LIVE classes
More
LIVE
Join Vedantu’s FREE Mastercalss

The exponential form of ${\log _{10}}0.001 = - 3$ is ____
A.${(0.001)^{10}} = - 3$
B.${( - 3)^{10}} = 0.001$
C.${(10)^3} = - 0.001$
D.${(10)^{ - 3}} = 0.001$

Answer
VerifiedVerified
363.9k+ views
Hint: Use the information, ${\log _b}a = c \Rightarrow a = {b^c}$.

We know that, ${\log _b}a = c \Rightarrow a = {b^c}$ So ${\log _{10}}0.001 = - 3 \Rightarrow 0.001 = {10^{ - 3}}$. Hence Option D is correct.
Note: Base of the log and the value inside the log, cannot be negative. Otherwise log will give imaginary values.
Last updated date: 26th Sep 2023
Total views: 363.9k
Views today: 3.63k