Calculus Examples

Simplify/Condense natural log of 3+ natural log of 8- natural log of 12
Step 1
Use the product property of logarithms, .
Step 2
Use the quotient property of logarithms, .
Step 3
Cancel the common factor of and .
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Step 3.1
Factor out of .
Step 3.2
Cancel the common factors.
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 4
Cancel the common factor of and .
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Step 4.1
Factor out of .
Step 4.2
Cancel the common factors.
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Step 4.2.1
Factor out of .
Step 4.2.2
Cancel the common factor.
Step 4.2.3
Rewrite the expression.
Step 4.2.4
Divide by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: