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Algebra Examples
Step 1
Rewrite the equation as .
Step 2
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 3
Expand by moving outside the logarithm.
Step 4
Step 4.1
Simplify .
Step 4.1.1
Apply the distributive property.
Step 4.1.2
Combine and .
Step 4.1.3
Rewrite as .
Step 5
Move all the terms containing a logarithm to the left side of the equation.
Step 6
Step 6.1
Add to both sides of the equation.
Step 6.2
Add to both sides of the equation.
Step 7
Multiply both sides of the equation by .
Step 8
Step 8.1
Simplify the left side.
Step 8.1.1
Cancel the common factor of .
Step 8.1.1.1
Cancel the common factor.
Step 8.1.1.2
Rewrite the expression.
Step 8.2
Simplify the right side.
Step 8.2.1
Apply the distributive property.
Step 9
Step 9.1
Divide each term in by .
Step 9.2
Simplify the left side.
Step 9.2.1
Cancel the common factor of .
Step 9.2.1.1
Cancel the common factor.
Step 9.2.1.2
Divide by .
Step 9.3
Simplify the right side.
Step 9.3.1
Cancel the common factor of .
Step 9.3.1.1
Cancel the common factor.
Step 9.3.1.2
Divide by .
Step 10
The result can be shown in multiple forms.
Exact Form:
Decimal Form: