Finite Math Examples

Solve for x z = natural log of y-4x+1
Step 1
Rewrite the equation as .
Step 2
To solve for , rewrite the equation using properties of logarithms.
Step 3
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 4
Solve for .
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Step 4.1
Rewrite the equation as .
Step 4.2
Move all terms not containing to the right side of the equation.
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Step 4.2.1
Subtract from both sides of the equation.
Step 4.2.2
Subtract from 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 4.3.3
Simplify the right side.
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Step 4.3.3.1
Simplify each term.
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Step 4.3.3.1.1
Move the negative in front of the fraction.
Step 4.3.3.1.2
Dividing two negative values results in a positive value.
Step 4.3.3.1.3
Dividing two negative values results in a positive value.