Precalculus Examples

Solve for x log base 3 of 3x-2=2
Step 1
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 2
Solve for .
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Step 2.1
Rewrite the equation as .
Step 2.2
Raise to the power of .
Step 2.3
Move all terms not containing to the right side of the equation.
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Step 2.3.1
Add to both sides of the equation.
Step 2.3.2
Add and .
Step 2.4
Divide each term in by and simplify.
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Step 2.4.1
Divide each term in by .
Step 2.4.2
Simplify the left side.
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Step 2.4.2.1
Cancel the common factor of .
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Step 2.4.2.1.1
Cancel the common factor.
Step 2.4.2.1.2
Divide by .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: