Question

If 36^12-m=6^2m what is the value of m??

Answer 1

`m=6`

Explanation:

if 36^12-m=6^2m , find the value of m

`36^(12-m)=6^(2m)`

To make the exponents equal , we need to get the same base.

The base of both sides of equation are not same.

36 can be written as 6^2

`6^(2(12-m))=6^(2m)`

`6^(24-2m)=6^(2m)`

now base of both sides are same . so we equate the exponents

`24-2m= 2m`

add 2m on both sides

`24=4m`

divide by 4 on both sides

`6=m`

The value of m is 6