1. Laws of Exponents Product Rule Quotient Rule
Let’s dig deep into our memories and try to remember the laws of exponents.
Product Rule
Quotient Rule
It’s all coming back now. I remember this stuff.

2. Laws of Logarithms Product Rule Quotient Rule Power Rule
What are the Laws of Logarithms?
Since Logarithms are just exponents written in a different form, maybe the Laws of Logarithms are the same as the Laws of Exponents.
Product Rule
Quotient Rule
Power Rule
This looks pretty easy, but how does it work with actual numbers?

3. Examples of the Logarithm Laws
Product Rule
Quotient Rule
Power Rule
May I press the easy button

4. Logarithm Laws in Action
I can do that.
Express
in terms of log m and log n
That one made my brain hurt, but I think I can do it.

5. More Logarithm Laws in Action
If log 2 = x and log 3 = y, express each of the following in terms of x and y
This really isn’t as difficult as I thought it was.

6. Solving Equations that Contain Logarithms
That sounds confusing, but I guess I’ll give it a try.
If log b A = log b B then A = B
If log N = 2log x + log y
solve for N in terms of x and y
Try to put the equation in the form log b A = log b B
Undo the power law
log N = log x2 + log y
Undo the product law
log N = log x2y
Drop the log and set the numbers equal
N = x2y

7. More Equations that Contain Logarithms
Solve for x:
Put the equation in the form log b A = log b B
Undo the power law
Evaluate what you can
Undo the quotient law
Drop the log and set the numbers equal
Solve the equation

8. Exponentiating Logarithmic Equations
I’m not even sure what that means.
Let’s give it a look.
Solve for x:
Logarithms are exponents written in a different form
Undo the product law
Write in exponential form
Evaluate what you have
You must check for extraneous roots
That looked hard at first, but it really wasn’t hard after all.
x = 5
Write your final answer