Take the log of both sides of the equation.

Expand by moving outside the logarithm.

Expand by moving outside the logarithm.

Simplify .

Apply the distributive property.

Multiply by .

Simplify .

Apply the distributive property.

Multiply by .

Add to both sides of the equation.

Subtract from both sides of the equation.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Move the negative in front of the fraction.

Combine the numerators over the common denominator.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x 2^(x+1)=5^(1-2x)