Question

What is the correct term for 32^x-2=16^5?

A.) 8
B.) -6
C.) 6
D.) 7

Answer 1

$32^{x-2}=16^5\\\\(2^5)^{x-2}=(2^4)^5\\\\2^{5x-10}=2^{20}\\\\5x-10=20\\\\5x=30\\\\x=6$