Precalculus Examples

Expand the Logarithmic Expression ( natural log of 27 natural log of 9)/( log of 27+ log of 9)
Step 1
Simplify the numerator.
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Step 1.1
Rewrite as .
Step 1.2
Expand by moving outside the logarithm.
Step 1.3
Rewrite as .
Step 1.4
Expand by moving outside the logarithm.
Step 1.5
Combine exponents.
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Step 1.5.1
Multiply by .
Step 1.5.2
Raise to the power of .
Step 1.5.3
Raise to the power of .
Step 1.5.4
Use the power rule to combine exponents.
Step 1.5.5
Add and .
Step 2
Simplify the denominator.
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Step 2.1
Rewrite as .
Step 2.2
Expand by moving outside the logarithm.
Step 2.3
Rewrite as .
Step 2.4
Expand by moving outside the logarithm.
Step 2.5
Add and .