Precalculus Examples

Simplify/Condense log of 6-2* log of 2-1/3* log of 8
Step 1
Simplify each term.
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Step 1.1
Simplify by moving inside the logarithm.
Step 1.2
Raise to the power of .
Step 1.3
Multiply .
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Step 1.3.1
Reorder and .
Step 1.3.2
Simplify by moving inside the logarithm.
Step 1.4
Rewrite as .
Step 1.5
Apply the power rule and multiply exponents, .
Step 1.6
Cancel the common factor of .
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Step 1.6.1
Cancel the common factor.
Step 1.6.2
Rewrite the expression.
Step 1.7
Evaluate the exponent.
Step 2
Use the quotient property of logarithms, .
Step 3
Use the quotient property of logarithms, .
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 5
Multiply the numerator by the reciprocal of the denominator.
Step 6
Multiply .
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Step 6.1
Multiply by .
Step 6.2
Multiply by .
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: