# Precalculus Examples

Step 1

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

Step 2

Expand by moving outside the logarithm.

Step 3

Step 3.1

Apply the distributive property.

Step 4

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

Step 5

Step 5.1

Subtract from both sides of the equation.

Step 5.2

Add to both sides of the equation.

Step 6

Step 6.1

Divide each term in by .

Step 6.2

Simplify the left side.

Step 6.2.1

Cancel the common factor of .

Step 6.2.1.1

Cancel the common factor.

Step 6.2.1.2

Divide by .

Step 6.3

Simplify the right side.

Step 6.3.1

Cancel the common factor of .

Step 6.3.1.1

Cancel the common factor.

Step 6.3.1.2

Divide by .

Step 7

The result can be shown in multiple forms.

Exact Form:

Decimal Form: