Finite Math Examples

Find the Roots (Zeros) f(x) = log base 7 of x^3-1
Step 1
Set equal to .
Step 2
Solve for .
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Step 2.1
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 2.2
Solve for .
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Step 2.2.1
Rewrite the equation as .
Step 2.2.2
Anything raised to is .
Step 2.2.3
Move all terms not containing to the right side of the equation.
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Step 2.2.3.1
Add to both sides of the equation.
Step 2.2.3.2
Add and .
Step 2.2.4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step 4