# Precalculus Examples

Factor out of .

Factor out of .

Factor out of .

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set the first factor equal to .

Set the next factor equal to and solve.

Set the next factor equal to .

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.

The natural logarithm of is .

Multiply by .

The equation cannot be solved because it is undefined.

Undefined

Since the logarithm is undefined, there is no solution.

No solution

No solution

The final solution is all the values that make true.

Set the factor equal to .

Add to both sides of the equation.

The solution is the result of and .