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# Precalculus Examples

Step 1

Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .

Step 2

Step 2.1

Rewrite the equation as .

Step 2.2

Raise to the power of .

Step 2.3

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

Step 2.3.1

Add to both sides of the equation.

Step 2.3.2

Add and .

Step 2.4

Divide each term in by and simplify.

Step 2.4.1

Divide each term in by .

Step 2.4.2

Simplify the left side.

Step 2.4.2.1

Cancel the common factor of .

Step 2.4.2.1.1

Cancel the common factor.

Step 2.4.2.1.2

Divide by .

Step 2.4.3

Simplify the right side.

Step 2.4.3.1

Cancel the common factor of and .

Step 2.4.3.1.1

Factor out of .

Step 2.4.3.1.2

Cancel the common factors.

Step 2.4.3.1.2.1

Factor out of .

Step 2.4.3.1.2.2

Cancel the common factor.

Step 2.4.3.1.2.3

Rewrite the expression.

Step 3

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form: