Warm-Up: Evaluate the logarithms 1) log5 625 4 2) log 0.00001 -5 3) log32 2 1/5 4) log36 1/6 -1/2

Homework Questions

Homework Questions

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

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.

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.

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.

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.

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.

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.

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.

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.