Question

Solve 8 to the power of x+2 =2 to the power of 4x-3

Answer 1

given,
 8 to the power of x+2=2 to the power of 4x-3
8^x+2=2^4x-3
2^3(x+2)=2^4x-3
2^3x+6=2^4x-3
if bases are equal then powers also equal,
3x+6=4x-3
4x-3x=6+3
x=9

please pick it as best

Answer 2

8^x+2=2^4x-3
$(2^{3} ) ^{x+2}=$ 2^4x-3
2^3x+6=2^4x-3
bases are equal. exponents must be equal.
3x+6=4x-3
4x-3=3x+6
4x-3x-3-6=0
x-9=0
therefore, x=9