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Finite Math Examples
Step 1
Set equal to .
Step 2
Step 2.1
To solve for , rewrite the equation using properties of logarithms.
Step 2.2
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 2.3
Solve for .
Step 2.3.1
Rewrite the equation as .
Step 2.3.2
Anything raised to is .
Step 2.3.3
Move all terms not containing to the right side of the equation.
Step 2.3.3.1
Add to both sides of the equation.
Step 2.3.3.2
Add and .
Step 3