Question

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

Answer 1

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`

Answer 2

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

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.