Solve for x 3^(x-5)=9

$3^{x - 5} = 9$

Step 1

Create equivalent expressions in the equation that all have equal bases.

$3^{x - 5} = 3^{2}$

Step 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x - 5 = 2$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Add $5$ to both sides of the equation.

$x = 2 + 5$

Add $2$ and $5$ .

$x = 7$