All High School Math Resources
Example Questions
Example Question #2 : Simplifying Polynomial Functions
Simplify the following polynomial function:
First, multiply the outside term with each term within the parentheses:
Rearranging the polynomial into fractional form, we get:
Example Question #1 : Exponential And Logarithmic Functions
You are given that and .
Which of the following is equal to ?
Since and , it follows that and
Example Question #21 : Pre Calculus
Example Question #2 : Exponential And Logarithmic Functions
What is ?
Recall that by definition a logarithm is the inverse of the exponential function. Thus, our logarithm corresponds to the value of in the equation:
.
We know that and thus our answer is .
Example Question #21 : Pre Calculus
Solve for :
The correct solution set is not included among the other choices.
The correct solution set is not included among the other choices.
FOIL:
These are our possible solutions. However, we need to test them.
:
The equation becomes . This is true, so is a solution.
:
However, negative numbers do not have logarithms, so this equation is meaningless. is not a solution, and is the one and only solution. Since this is not one of our choices, the correct response is "The correct solution set is not included among the other choices."