Download Presentation
## Evaluate Logarithms

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**Evaluate Logarithms**Notes 12 – Section 7.4**Essential Learnings**• Students will understand and be able to evaluate exponential functions using logarithms. • Students will be able to recognize and use equivalent representations of expressions.**Logarithm with Base b**Let band ybe positive numbers with b≠1. The logarithm of ywith base b is defined as follows: if and only if “Log base b of y”**Common Logarithm**Logarithm with base 10: Logarithm with base e: “natural log”**Example 1 (3-6)**Rewrite the logarithm into exponential form.**Example 2 (3-6)**Rewrite the logarithm into exponential form.**Example 3 (3-6)**Rewrite the logarithm into exponential form.**Class Problems**Rewrite each logarithm into exponential form.**Example 4 (8-19)**Evaluate the logarithm without a calculator (change from logarithmic form to exponential form).**Example 5 (8-19)**Evaluate the logarithm without a calculator (change from logarithmic form to exponential form).**Example 6 (8-19)**Evaluate the logarithm without a calculator (change from logarithmic form to exponential form).**Class Problems**Evaluate the logarithm without a calculator (change from logarithmic form to exponential form).**Calculating Logarithms (20-27)**Use a calculator to evaluate the logarithm.**Exponential vs. Logarithmic**• How are logarithmic functions related to exponential functions? They are inverse functions.**Example 7 (29-35)**Simplify the expressions using inverse properties.**Example 8 (29-35)**Simplify the expressions using inverse properties. The log is base 2, so change 16 into 24 to simplify.**Example 9 (29-35)**Simplify the expressions using inverse properties. The log is base 3, so change 81 into 34 to simplify.**Assignment**Pages 503: 3–6, 8–19, 20, 23, 24, 26, 27, 29–35 odd MM 3-1 – Due Tuesday/Wednesday Tuesday ICE – Finish Mastery Assignment Unit Study Guide 5 – Keep working on it!