Question

what is the value of log0.01 base 10

Answer 1

heyya..ur ans...

log 0.01 can b written as...log 10^-2

when in log a no. is in power it gets multiplied..

so
log 10^-2 = -2log 10..

value of log 10 at base 10 is 1..

therefore....
-2 log 10 = -2×1 = -2

-2 is the ans ...

hope this helps you.... PLZ MARK BRAINLIEST

Answer 2

Given : log 0.01 base 10

To find : The value of log 0.01 base 10

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the said logarithmic term)

In this case, we will be using general logarithmic formula(s).

So,

$= log_{10}(0.01)$

$= log_{10}( \frac{1}{100} )$

$= log_{10}( \frac{1}{ {(10)}^{2} } )$

$= log_{10}( {10}^{ - 2} )$

$= - 2 \times log_{10}(10)$

$= - 2 \times 1$

$= - 2$

(This will be considered as the final result of the given mathematical problem.)

Used formula :

1. $log_{b}( {a}^{n} ) = n \times log_{b}(a)$
2. $log_{b}(b) = 1$

Hence, the value of log 0.01 base 10 is -2