Logarithms and Exponents

Question 1

What do they want you to do when they say something like this.

Answer 1

1. The value inside the brackets of the log can be written as some combination of the numbers given in the intro (like by multiplication or division). In this example, some combo of 2s and 5s.
2. Use log properties to separate this out into the logs given in the intro.

Question 2

How can you expand this logarithm?

Answer 2

You expand it with the product rule.

Question 3

How can you combine these logarithms?

Answer 3

You combine them together with the product rule.

Question 4

What can you do if you have two logarithms with different bases in the same equation?

Answer 4

You use the change-of-base formula.

Question 5

What do you do if you need to solve an equation with a bunch of logs?

Answer 5

First, you need to get all the logs together.

Then you “kill” the log by using an exponent with the same base.