Question

Solve for x. Could you also show the steps on how you got the answer.

4^(x+7)=8^(x+3)

Answer 1

Do you know how to use logarithms?

Answer 2

Do you know any exponent properties?

Answer 3

convert both the 4 and the 8 to base 2
so 4 = 2^2 and 8=2^3
now your equation is this
2^2(x+7) = 2^3(x+3)

since they have the same base they have the same exponents
set the exponents equal to each other
2(x+7) = 3(x+3)
factor in the 2 and 3
2x+14=3x+9
combine like terms
x= 5

Answer 4

Ahh, Ok thank you very much I made a foolish error.

Answer 5

np glad to help