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.

Simplify.

Multiply by .

Combine and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Multiply .

Multiply and .

Multiply by .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x 4^(2x)=32^(1/2)