Precalculus Examples

Solve for x log base x of 1/3125=5
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
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.2
Simplify .
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Step 2.2.1
Rewrite as .
Step 2.2.2
Any root of is .
Step 2.2.3
Simplify the denominator.
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Step 2.2.3.1
Rewrite as .
Step 2.2.3.2
Pull terms out from under the radical, assuming real numbers.
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: