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

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

Add to both sides of the equation.

Add and .

Solve for x 3^(x-2)=81

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# Solve for x 3^(x-2)=81

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

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

Add to both sides of the equation.

Add and .

Solve for x 3^(x-2)=81