Precalculus Examples

Solve for x log of 5x = log of 2x+9
Step 1
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Step 2
Solve for .
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Step 2.1
Move all terms containing to the left side of the equation.
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Step 2.1.1
Subtract from both sides of the equation.
Step 2.1.2
Subtract from .
Step 2.2
Divide each term in by and simplify.
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Step 2.2.1
Divide each term in by .
Step 2.2.2
Simplify the left side.
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Step 2.2.2.1
Cancel the common factor of .
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Step 2.2.2.1.1
Cancel the common factor.
Step 2.2.2.1.2
Divide by .
Step 2.2.3
Simplify the right side.
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Step 2.2.3.1
Divide by .