1. Section 11-5 Common Logarithms

2. Logarithms with base 10 are called common logarithms. You can easily find the common logarithms of integral powers of 10.

3. A common logarithm is made up of two parts. Common Logarithm – logarithms that use ten as the base Characteristic – the exponent of 10 that is used to write the number in scientific notation Mantissa –the common logarithm of a number between 1 and 10

4. Mantissa Characteristic Is 6

6. Given that log 5 = 0.6990, evaluate each logarithm. a. log 50,000 b. log 0.005

7. Evaluate

11. Change of Base Formula

12. Find the value Using the change of base formula

16. Antilogarithm – written antilog a log x = 1.95 Use antilog to solve for x

17. Solve