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### 11.5 Common Logarithms

By the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Example 1: rewrite each expression using the change of base formulaBy the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Example 1: rewrite each expression using the change of base formulaBy the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Example 2: Solve each equation using common logBy the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Example 2: Solve each equation (for ) using common logBy the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Example 2: Solve each equation (for ) using common logBy the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Example 2: Solve each equation (for ) using common logBy the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Find Someone Who…By the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

SummaryBy the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Summary

By the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Assignment #38

Worksheet, no book assignment

By the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Common Logarithm- How many fingers do we (normally) have?
- What happens after the number 9?
- What happens after the number 99?
- Why is it easier to multiply by 100 that by 99 even though 99 is a smaller number?
- The common log has a BASE of 10.
- Since this is our COMMON log we often will write instead of

By the end of the period, students will be able to use the change of base formula to rewrite logarithms into common logs, and solve equations using common logarithms, as evidenced by completing “Find Someone Who…” worksheet.

Change of Base Formula- Our calculators only have two log buttons and (we’ll discuss the other button later).
- So if we want to use the calculator to solve log problems, we need to have the logs in base 10.

New base

- fill in the blanks:

- How do we solve ?
- Similarly, we can “take the log of both sides”
- This power of equality property goes both directions.
- Recall that logs and exponents are inverses and will “undo” each other. So if we want to get variable OUT of an exponent we use a log.

Instructions:

- You will not solve a single problem on YOUR paper.
- Meet with another person (PAIRS, NOT TRIOS, singles etc. PAIRS!!)
- Exchange papers
- Look at the unsolved problems on their paper and solve one of your choosing, challenge yourself.
- Get your paper back and make a new friend

- Which of the following is equivalent to
- Using common logarithms, solve .

- Which of the following is equivalent to
- Using common logarithms, solve .

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