Basic Math Examples

Solve for c log of c+1+ log of c-1=3
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 1.3.1.5
Multiply by .
Step 1.3.2
Add and .
Step 1.3.3
Add and .
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
Raise to the power of .
Step 3.3
Move all terms not containing to the right side of the equation.
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Step 3.3.1
Add to both sides of the equation.
Step 3.3.2
Add and .
Step 3.4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 3.5
The complete solution is the result of both the positive and negative portions of the solution.
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Step 3.5.1
First, use the positive value of the to find the first solution.
Step 3.5.2
Next, use the negative value of the to find the second solution.
Step 3.5.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 4
Exclude the solutions that do not make true.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: