Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

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.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Solve for x 2*5^(x/4)=250