# Solve for x 8^(x-1)=(1/2)^(2x-1) Apply the product rule to .
One to any power is one.
Move to the numerator using the negative exponent rule .
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.
Solve for .
Simplify .
Apply the distributive property.
Multiply by .
Simplify .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Move all terms containing to the left side of the equation.
Add to both sides of the equation.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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