Question

How does the value of log2^100 compare with the value of log6^20?

Answer 1

We are given

First value is :

$log_2(100)$

we can simplify it

we can use base change formula

$log_2 (100)=\frac{ln\left(100\right)}{ln\left(2\right)}$

$log_2 (100)=6.643856$

Second value is :

$log_6(20)$

we can simplify it

we can use base change formula

$log_6(20)=\frac{ln\left(20\right)}{ln\left(6\right)}$

$log_6(20)=1.67195$

so, we know that

6.6438 is almost 4 times of 1.67195

so, option-A.........Answer

Answer 2

It is A.. Value of log2^100 is about 4 times the value of log6^20