# Solve for z 81=3^(z-3)

81=3z-3
Rewrite the equation as 3z-3=81.
3z-3=81
Create equivalent expressions in the equation that all have equal bases.
3z-3=34
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
z-3=4
Move all terms not containing z to the right side of the equation.
Add 3 to both sides of the equation.
z=4+3