Trigonometry Examples

Solve for x natural log of x+8+ natural log of x-1=2 natural log of x
Step 1
Simplify the left side.
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Step 1.1
Use the product property of logarithms, .
Step 1.2
Expand using the FOIL Method.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Apply the distributive property.
Step 1.3
Simplify and combine like terms.
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Step 1.3.1
Simplify each term.
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Step 1.3.1.1
Multiply by .
Step 1.3.1.2
Move to the left of .
Step 1.3.1.3
Rewrite as .
Step 1.3.1.4
Multiply by .
Step 1.3.2
Add and .
Step 2
Simplify by moving inside the logarithm.
Step 3
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Step 4
Solve for .
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Step 4.1
Move all terms containing to the left side of the equation.
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Step 4.1.1
Subtract from both sides of the equation.
Step 4.1.2
Combine the opposite terms in .
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Step 4.1.2.1
Subtract from .
Step 4.1.2.2
Add and .
Step 4.2
Add to both sides of the equation.
Step 4.3
Divide each term in by and simplify.
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Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
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Step 4.3.2.1
Cancel the common factor of .
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Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: