Question

Find the solution to the equation log16 32 = x + 3. Using complete sentences, explain the procedure used to solve this equation.

Answer 1

write in exponential form:
16^(x+3) = 32

now write both sides of the equal sign as exponentials with base 2....
(2^2)^(x+3) = 2^5
2^(2x+6) = 2^5

since the bases are the same, the exponents must be the same:
2x+6 = 5

can you solve from here?

Answer 2

I thin k you made a mistake here should be
(2^4)^(x+3)=2^5
giving
4x+12 = 5 and x= -7/4

as 16^((-7/4)+3) = 32