All High School Math Resources
Example Questions
Example Question #21 : Pre Calculus
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 #21 : Pre Calculus
You are given that and
.
Which of the following is equal to ?
Since and
, it follows that
and
Example Question #1 : Solving Logarithms
Example Question #2 : Solving Logarithms
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 #23 : 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."
Example Question #24 : Pre Calculus
All High School Math Resources
