Question

harsha said if a=2 ^ log 5, b= 5 ^ log2 then a = b.Do you agree .justify your answer

Answer 1

your answer is in the pic....

《●☆☆☆hope it helps☆☆☆●》

Answer 2

Answer:

The proof is explained below :

Step-by-step explanation:

Given,

a =2 ^ log 5

It can also be written as :

a =  $2^{log_{10}^5}$

b = 5 ^ log 2

b =  $5^{log_{10}^2}$

We know the property of log , that is,

$a^{log_{c}^b}$ = $b^{log_{c}^a}$

Applying the same rule,

a =  $2^{log_{10}^5}$

a =  $5^{log_{10}^2}$ = b

Hence,

if a=2 ^ log 5, b= 5 ^ log2 then a = b