# Lesson 1Log LogicDevelop Understanding

Graph each function over the domain .

### 5.

Compare problem 1 to problem 2. Multiplying by should generate a vertical stretch of the graph, but the graph looks like it has been translated vertically. How do you explain that?

### 6.

Compare problem 3 to problem 4. Is your explanation in problem 5 still valid for these two graphs? Explain.

## Set

Given that ,

Given that ,

Given that ,

Given that ,

### 11.

Given that ,

Given . Use the table to fill in the missing values and evaluate the log expression.

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### 14.

Given and .

Use the graph of to find the missing value in each equation.

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### 18.

Answer the question yes or no. If yes, give an example of the answer. If no, explain why not.

## Go

Apply the properties of exponents to find equivalent numerical expressions that no longer have exponents.