# Precalculus Examples

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

Use logarithm rules to move out of the exponent.

Apply the distributive property.

Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.

Divide each term by and simplify.

Divide each term in by .

Simplify the left side of the equation by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Simplify each term.

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Multiply by to get .

Verify each of the solutions by substituting them back into the original equation and solving. In this case, all solutions were found to be valid.