Question

2^(m+13)=4^(m+2) find what is the value of m ?

Answer 1

Answer:

m=9.

Step-by-step explanation:

Refer to the attachment...

Answer 2

Answer:

$2 ^({m + 13} ) = 2 ^2({m + 2} ) \\ 2 ^({m + 13} ) =2 ^({2m + 4} ) \\ m + 13 = 2m + 4 \\13 - 4 = 2m - m \\ 2m - m = 13 - 4 \\ m = 9$