Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

Expand by moving outside the logarithm.

Apply the distributive property.

Multiply by .

Move all the terms containing a logarithm to the left side of the equation.

Use the quotient property of logarithms, .

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Subtract from both sides of the equation.

Divide each term in by .

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x 5(1.06^(2x+1))=11