All GRE Subject Test: Math Resources
Example Questions
Example Question #1 : Logarithmic Properties
Rewrite the following expression as a single logarithm
Recall a few properties of logarithms:
1.When adding logarithms of like base, we multiply the inside.
2.When subtracting logarithms of like base, we divide the inside.
3. When multiplying a logarithm by a number, we can raise the inside to that power.
So we begin with this:
I would start with 3 to simplify the first log.
Next, use rule 1 on the first two logs.
Then, use rule 2 to combine these two.
So our answer is 6.06.
Example Question #1 : Logarithms
When combining logarithms into one log, we must remember that addition and multiplication are linked and subtraction and division are linked.
In this case we have multiplication and division - so we assume anything that is negative, must be placed in the bottom of the fraction.
Example Question #1 : Logarithmic Properties
When rewriting an exponential function as a log, we must follow the model below:
A log is used to find an exponent. The above corresponds to the exponential form below:
Example Question #1 : Logarithms
In order to rewrite a log, we must remember the pattern that they follow below:
In this question we have:
Example Question #1 : Logarithms
Express as a single logarithm.
Step 1: Recall all logarithm rules:
Step 2: Rewrite the first term in the expression..
Step 3: Re-write the third term in the expression..
Step 4: Add up the positive terms...
Step 5: Subtract the answer the other term from the answer in Step 4.
Example Question #121 : Algebra
In order to expand this log, we must remember the log rules.
Example Question #1 : Logarithmic Properties
Example Question #1 : Logarithmic Properties
Example Question #9 : Logarithmic Properties
Rewrite the following expression as a single logarithm
Recall a few properties of logarithms:
1.When adding logarithms of like base, we multiply the inside.
2.When subtracting logarithms of like base, we divide the inside.
3. When multiplying a logarithm by a number, we can raise the inside to that power.
So we begin with this:
I would start with 3 to simplify the first log.
Next, use rule 1 on the first two logs.
Then, use rule 2 to combine these two.
So our answer is 6.06.
All GRE Subject Test: Math Resources
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