Use the quotient property of logarithms, .

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

Multiply both sides of the equation by .

Remove parentheses.

Simplify each term.

Multiply by .

Multiply by .

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

Subtract from both sides of the equation.

Subtract from .

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Dividing two negative values results in a positive value.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for x log of x+4- log of 2 = log of 5x+1