Finite Math Examples

Solve for x log base 6 of x+ log base 6 of 27=1
Step 1
Simplify the left side.
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Step 1.1
Use the product property of logarithms, .
Step 1.2
Move to the left of .
Step 2
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 3
Solve for .
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Step 3.1
Rewrite the equation as .
Step 3.2
Divide each term in by and simplify.
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Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
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Step 3.2.2.1
Cancel the common factor of .
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Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
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Step 3.2.3.1
Evaluate the exponent.
Step 3.2.3.2
Cancel the common factor of and .
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Step 3.2.3.2.1
Factor out of .
Step 3.2.3.2.2
Cancel the common factors.
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Step 3.2.3.2.2.1
Factor out of .
Step 3.2.3.2.2.2
Cancel the common factor.
Step 3.2.3.2.2.3
Rewrite the expression.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: