All GRE Subject Test: Math Resources
Example Questions
Example Question #1 : Solving Exponential Equations
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 . Since
we 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 #131 : Algebra
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 #131 : Classifying Algebraic Functions
Solve for .
Before beginning to solve for , we need
to have a coefficient of
:
Now we can take the natural log of both sides:
Note:
Example Question #321 : Gre Subject Test: Math
Since the base is for both, then:
When the base is the same, and you are multiplying, the exponents are added.
Example Question #141 : Classifying Algebraic Functions
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 #1 : 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.
Because is also written as
All GRE Subject Test: Math Resources
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)