Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

To solve for , rewrite the equation using properties of logarithms.

Simplify the equation.

Exponentiation and log are inverse functions.

Rewrite the expression using the negative exponent rule .

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 .

Simplify each term.

Multiply and .

Move to the left of .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x 5 natural log of 4x-6=-6