Lesson 2 Falling Off a Log Solidify Understanding

Ready

Evaluate each logarithm.

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Set

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The graph of is shown. Which point on the graph tells you the base of the logarithm?

a coordinate plane with a curved line representing a logarithmic function x555101010y–2–2–2222000

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The graph of is shown. Which point on the graph tells you the base of the logarithm?

a coordinate plane with a curved line representing a logarithmic function x555101010y–2–2–2222000

9.

Explain why the graphs of both logarithmic functions with different bases contain the point .

10.

The graph shows a logarithmic function that has been transformed. Write the function for this graph.

a coordinate plane with a curved line representing a logarithmic function x555101010y–4–4–4–2–2–2222000

11.

The graph shows a logarithmic function that has been transformed. Write the function for this graph.

a coordinate plane with a curved line representing a logarithmic function x555y–2–2–2222000

12.

The graph shows a logarithmic function that has been translated vertically and horizontally. Write the function for this graph.

(The dotted lines are the transformed axes that could help you write the equation.)

a coordinate plane with a curved line representing a logarithmic function x–5–5–5555y–4–4–4–2–2–2222000

13.

The graph shows a logarithmic function that has been translated vertically and horizontally. Write the function for this graph.

(The dotted lines are the transformed axes that could help you write the equation.)

a coordinate plane with a curved line representing a logarithmic function x555101010y–2–2–2222444000

Go

Rewrite each expression. Answers should have only positive exponents.

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