Algebra II : Algebra II
Study concepts, example questions & explanations for Algebra II
All Algebra II Resources
Example Questions
Example Question #3051 : Algebra Ii
Solve for 
Rewrite in exponential form:
Solve for x:
Example Question #4 : Solving Logarithms
Solve the following equation:
For this problem it is helpful to remember that,
Therefore we can set what is inside of the parentheses equal to each other and solve for 
Example Question #5 : Solving Logarithms
Solve for 
To solve this logarithm, we need to know how to read a logarithm. A logarithm is the inverse of an exponential function. If a exponential equation is
then its inverse function, or logarithm, is
Therefore, for this problem, in order to solve for 
which is 
Example Question #7 : Solving Logarithms
Solve for 
Logs are exponential functions using base 10 and a property is that you can combine added logs by multiplying.
You cannot take the log of a negative number. x=-25 is extraneous.
Example Question #1 : Solving Logarithms
If 
This question is testing the definition of logs. 
In this case, 
Taking square roots of both sides, you get 
Example Question #9 : Solving Logarithms
Rewriting Logarithms in Exponential Form
Solve for 
Which of the below represents this function in log form?
The first step is to rewrite this equation in log form.
When rewriting an exponential function as a log we must remember that the form of an exponential is:
When this is rewritten in log form it is:
Therefore we have 
Example Question #10 : Solving Logarithms
Solve for 
Not enough information
Use the rule of Exponents of Logarithms to turn all the multipliers into exponents:
Simplify by applying the exponents: 
According to the law for adding logarithms, 
Therefore, multiply the 4 and 7.
Because both sides have the same base, 
Example Question #11 : Solving Logarithms
Evaluate 
No solution
In logarithmic expressions, 
Therefore, the equation can be rewritten as 
Both 8 and 128 are powers of 2, so the equation can then be rewritten as 
Since both sides have the same base, set 
Solve by dividing both sides of the equation by 3: 
Example Question #12 : Solving Logarithms
Solve the equation for 
No solution
Because both sides have the same logarithmic base, both terms can be set equal to each other:
Now, evaluate the equation.
First, add x to both sides:
Add 15 to both sides:
Finally, divide by 6: 
Example Question #3052 : Algebra Ii
Solve this logarithmic equation:
None of the other answers.
To solve this problem you must be familiar with the one-to-one logarithmic property.
one-to-one property:
isolate x's to one side:
move constant:
All Algebra II Resources
