What is the solution of the exponential equation? use a graph. full calculations,27=3^(x-2) please!!

Question

what is the solution of the exponential equation? use a graph. full calculations,
`27=3^(x-2)` please!!

Answer 1

5

Explanation:

if i really need to use a graph leave a comment

27=3ˣ⁻²

`x=y^z\\=\\log_(y)x=z\\`

Which means that

`27=3^(x-2)=\\log_327=x-2\\log_327=(log27)/(log3)=3\\3=x-2\\x=5`