1. Warm-Up: Evaluate the logarithms
1) log ) log ) log32 2 1/5 4) log36 1/6 -1/2

2. Homework Questions

3. Homework Questions

4. 7.5 Properties of Logarithms
Essential Question- How can you use a calculator to evaluate a logarithm that is not base 10 or e?

5. EQ: How can you use a calculator to evaluate a logarithm that is not base 10 or e?
Demonstrated in writing in practice problems and in summary of notes.

6. Example: Use log4 3≈0.792 and log47≈ 1.404 to evaluate the logarithm.
EQ: How can you use a calculator to evaluate a logarithm that is not base 10 or e?
Demonstrated in writing in practice problems and in summary of notes.

7. Example: Use log6 5≈0.898 and log68≈1.161 to evaluate the logarithm
1) 3) log6 40 2) log6 64 4) log6 125
EQ: How can you use a calculator to evaluate a logarithm that is not base 10 or e?
Demonstrated in writing in practice problems and in summary of notes.

8. Example: Use properties of logarithms to expand each expression
Log45x3y
Log3x2y
EQ: How can you use a calculator to evaluate a logarithm that is not base 10 or e?
Demonstrated in writing in practice problems and in summary of notes.

9. Example: Use the properties of logarithms to condense each expression
½ log10x + 3 log10(x+1) 2ln (x+2) – ln x 1/3 [log2x + log2(x-4)]
EQ: How can you use a calculator to evaluate a logarithm that is not base 10 or e?
Demonstrated in writing in practice problems and in summary of notes.

10. It is useful to choose base = e or base = 10 so that the expression can be evaluated using a calculator.
EQ: How can you use a calculator to evaluate a logarithm that is not base 10 or e?
Demonstrated in writing in practice problems and in summary of notes.

11. Example: Use change of base to change to base 10 or e and evaluate
log425
log316
log212
log522
EQ: How can you use a calculator to evaluate a logarithm that is not base 10 or e?
Demonstrated in writing in practice problems and in summary of notes.

12. Homework Pg 511 # 3-60 (3)
EQ: How can you use a calculator to evaluate a logarithm that is not base 10 or e?
Demonstrated in writing in practice problems and in summary of notes.