Question

how , 2 = log 100
answer me please​

Answer 1

Step-by-step explanation:

log 100

=log 10^2

=2 log 10

=2*1

=2

Answer 2

log 100 equals 2 if and only if the base is 10.

To the base 10, we can write,

$\log_{10}100=\dfrac{\log_{10}100}{\log_{10}10}$

Because it's true that,

$\log_ba=\dfrac{\log_ma}{\log_mb}$

and we took $a=100,\quad b=m=10$

And it is also true that,

$\bullet\ \log_aa=1\\\\\bullet\ \log_ba^m=m\log_ba$

So,

$\dfrac{\log_{10}100}{\log_{10}10}=\dfrac{\log_{10}10^2}{1}=2\log_{10}10=2$

That's why 2!