All GRE Subject Test: Math Resources
Example Questions
Example Question #1 :Exponential Functions
Find one possible value of, given the following equation:
Cannot be determined from the information given.
We begin with the following:
This can be rewritten as
Recall that if you have two exponents with equal bases, you can simply set the exponents equal to eachother. Do so to get the following:
Solve this to get t.
Example Question #1 :Exponential Functions
Solve for.
We need to make the bases equal before attempting to solve for. Sincewe can rewrite our equation as
Remember: the exponent rule
Now that our bases are equal, we can set the exponents equal to each other and solve for.
Example Question #1 :Solving Exponential Equations
Solve for.
The first step is to make sure we don't have a zero on one side which we can easily take care of:
Now we can take the logarithm of both sides using natural log:
Note:we can apply the Power Rule here
Example Question #1 :Solving Exponential Equations
Solve for.
Before beginning to solve for, we needto have a coefficient of:
Now we can take the natural log of both sides:
Note:
Example Question #1 :Solving Exponential Equations
Since the base isfor both, then:
When the base is the same, and you are multiplying, the exponents are added.
Example Question #1 :Solving Exponential Equations
To solve, use common
Example Question #1 :Exponential Functions
To solve, use the natural log.
To isolate the variable, divide both sides by.
Example Question #1 :Solving Exponential Equations
To solve, use the natural log.
Example Question #9 :Solving Exponential Equations
Solve the equation. Express the solution as a logarithm in base-10.
Isolate the exponential part of the equation.
Convert to log form and solve.
can also be written as.
Example Question #1 :Solving Exponential Equations
Simply the exponential part of the equation by dividing both sides by
Write in logarithm form.
Becauseis also written as