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Basic Math Examples
Step 1
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 2
Step 2.1
Rewrite as .
Step 2.2
Expand by moving outside the logarithm.
Step 2.3
Expand by moving outside the logarithm.
Step 3
Step 3.1
Apply the distributive property.
Step 4
Move .
Step 5
Move all the terms containing a logarithm to the left side of the equation.
Step 6
Step 6.1
Subtract from both sides of the equation.
Step 6.2
Add to both sides of the equation.
Step 7
Step 7.1
Factor out of .
Step 7.2
Factor out of .
Step 7.3
Factor out of .
Step 8
Rewrite as .
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
Move the negative in front of the fraction.
Step 9.3.2
Combine the numerators over the common denominator.
Step 9.3.3
Factor out of .
Step 9.3.4
Factor out of .
Step 9.3.5
Factor out of .
Step 9.3.6
Simplify the expression.
Step 9.3.6.1
Rewrite as .
Step 9.3.6.2
Move the negative in front of the fraction.
Step 10
The result can be shown in multiple forms.
Exact Form:
Decimal Form: