Basic Math Examples

Solve for F log of 25=22 log of 2F
Step 1
Rewrite the equation as .
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
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4.2
Simplify .
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Step 4.2.1
Rewrite as .
Step 4.2.2
Rewrite as .
Step 4.2.3
Pull terms out from under the radical, assuming positive real numbers.
Step 4.3
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.3.1
First, use the positive value of the to find the first solution.
Step 4.3.2
Divide each term in by and simplify.
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Step 4.3.2.1
Divide each term in by .
Step 4.3.2.2
Simplify the left side.
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Step 4.3.2.2.1
Cancel the common factor of .
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Step 4.3.2.2.1.1
Cancel the common factor.
Step 4.3.2.2.1.2
Divide by .
Step 4.3.3
Next, use the negative value of the to find the second solution.
Step 4.3.4
Divide each term in by and simplify.
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Step 4.3.4.1
Divide each term in by .
Step 4.3.4.2
Simplify the left side.
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Step 4.3.4.2.1
Cancel the common factor of .
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Step 4.3.4.2.1.1
Cancel the common factor.
Step 4.3.4.2.1.2
Divide by .
Step 4.3.4.3
Simplify the right side.
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Step 4.3.4.3.1
Move the negative in front of the fraction.
Step 4.3.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 5
Exclude the solutions that do not make true.
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: