Question

Find the Value of log10 (0.0001). Rescue me!

Answer 1

Answer:

This has already been answered correctly, but I'll add an additional perspective.  The log of (0.0001 to the base 10 is -4.

Step-by-step explanation:

log(base 10) says give us an exponent, x, that would be required to make $10^{x}$ equal to a specified number, in this case 0.0001.

$10^{0}$ = 1

$10^{1}$ = 10

$10^{-1}$ = 0.1

$10^{-2}$ = 0.01

$10^{-4}$ = 0.0001

The log of (0.0001) to the base 10 is -4.

Answer 2

Let's see

$\boxed{\sf log_aa=1}$

Now

$\\ \rm\Rrightarrow log_{10}0.0001)$

$\\ \rm\Rrightarrow log_{10}10^{-4}$

$\\ \rm\Rrightarrow -4log_{10}10$

$\\ \rm\Rrightarrow -4$