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Exponential and Logarithms Review Name _____________________________________________ Algebra 2 Date _______________ Period ______________

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Graph the following Exponential and Logarithmic functions using Transformation of Parent Functions.

1. [pic] 2. [pic]

Expand the following Logarithms.

3. [pic] 4. [pic] 5. [pic]

Condense the following Logarithms into a single Logarithm.

6. [pic] 7. [pic]

8. [pic]

Simplify the following expressions.

9.[pic] 10.[pic]

11.[pic] 12.[pic]

Solve the following Logarithmic and Exponential equations WITHOUT using a Calculator.

13. [pic] 14. [pic]

15. [pic] 16. [pic]

17. Given the equation [pic] write the equivalent logarithmic equation.

18. Solve for x: [pic]

19. Tell if the following equations are exponential or not.

a. [pic]

b. [pic]

c. [pic]

d. [pic]

20. Can a log have a negative base? Give three examples of bases that logs CAN have.

21. Solve for x:

[pic]

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[pic]

[pic]

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