Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

What is the exact solution to the equation 2^x+2 = 5^2x ?

Answer 1

Its A

Step-by-step explanation

2^(x + 2) = 5^2x By the laws of logs:-

(x + 2)ln2 = 2x ln5

x ln2 + 2ln2 = 2x ln5

2x ln5 - x ln 2 = 2ln2

x = 2 ln2 / ( 2 ln5 - ln 2) (Option A)