Lesson 1 Log Logic Develop Understanding

Ready

Graph each function over the domain .

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a blank coordinate plane –5–5–5555555101010151515202020000

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a blank coordinate plane –5–5–5555555101010151515202020000

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a blank coordinate plane –5–5–5555555101010151515202020000

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a blank coordinate plane –5–5–5555555101010151515202020000

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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?

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

Set

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Given that ,

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Given that ,

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Given that ,

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Given that ,

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Given that ,

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

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Given and .

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

a coordinate plane with a curved line and points at (-3,.125), (-2,.25), (-1,.5), and (0,1) x–3–3–3–2.75–2.75–2.75–2.5–2.5–2.5–2.25–2.25–2.25–2–2–2–1.75–1.75–1.75–1.5–1.5–1.5–1.25–1.25–1.25–1–1–1–0.75–0.75–0.75–0.5–0.5–0.5–0.25–0.25–0.25y0.250.250.250.50.50.50.750.750.751111.251.251.25000

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

Does have an answer?

Go

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

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