All SAT II Math I Resources
Example Questions
Example Question #1 :Mathematical Relationships
How many elements are in a set that has exactly 128 subsets?
None of the other responses is correct.
A set withelements hassubsets.
Solve:
Example Question #1 :Exponents And Logarithms
Rewrite as a single logarithmic expression:
Using the properties of logarithms
and,
we simplify as follows:
Example Question #1 :Exponents And Logarithms
Solve:
In order to solve this problem, covert 27 to the correct base and power.
Since, the correct answer is.
Example Question #2 :Exponents And Logarithms
Simplify
When an exponent is raised by another exponent, we just multiply the powers.
Example Question #3 :Exponents And Logarithms
Simplify:
When adding exponents, we don't add the exponents or multiply out the bases. Our goal is to see if we can factor anything. We do see three. Let's factor.
Remember when multiplying exponents, we just add the powers.
Example Question #2 :Exponents And Logarithms
Solve and simplify.
Another way to write this is. The only number that makesis.
Example Question #1 :Exponents And Logarithms
Simplify:
is the same as. Let's factor out. It's the same as. Thereforewhich is the answer to our question.
Example Question #4 :Exponents And Logarithms
Simplify:
When dealing with subtraction in regards to logarithms, it's the same as dividing the numbers.
Example Question #5 :Exponents And Logarithms
Simplify:
When dealing with addition in regards to logarithms, it's the same as multiplying the numbers.
Example Question #1 :Exponents And Logarithms
Solve:when.
Power rule says when an exponent is raised to another exponent, you must multiply the exponents.
Soand our expression is now.
Plug in the given value to get
.