Presentation is loading. Please wait.

Presentation is loading. Please wait.

Logarithms Exponential Equations: Logarithmic Equations: Exponent Base Exponent What it equals.

Similar presentations


Presentation on theme: "Logarithms Exponential Equations: Logarithmic Equations: Exponent Base Exponent What it equals."— Presentation transcript:

1

2 Logarithms

3 Exponential Equations: Logarithmic Equations: Exponent Base Exponent What it equals

4 Reading Logarithms

5 Example 1: Write the exponential equation in logarithmic form

6 You Try 1:Write the exponential equation in logarithmic form

7 Example 2: Write the logarithmic equation in exponential form

8 ▪ A logarithm with base 10 is called a common logarithm. If no base is written for the logarithm, the base is assumed to be 10. ▪ Ex: log 4 ▪ Special properties of logarithms: Logarithmic FormExponential FormExample Logarithm of base b: Logarithm of 1:

9 Evaluating Logarithms ▪ When it comes to evaluating logarithms, ask yourself this question, “what raised to the x power gives me this value?” ▪ Then decide what x is

10 Example 3: Evaluate

11 You Try 2: Evaluate

12 Example 4:Evaluate

13 Using Inverses

14 Example 5: Simplify the expression

15 You Try 3: Simplify the expression

16 Example 6:

17 Graphing Logarithms ▪ Remember earlier in the lesson I told you logarithms were the inverse of exponentials. ▪ When it comes to graphing logarithms, make a table of the logarithm in exponential form and switch your x and y values. ▪ Furthermore everything vertical becomes horizontal and everything horizontal becomes vertical (this is in respects to your asymptotes).

18 Example 6: Find the inverse of the following and graph the inverse x -2 2 04 110 228 x 2 40 101 282

19 Homework: Page 277 17-30 all (29-30 don’t describe the domain and range of each function)


Download ppt "Logarithms Exponential Equations: Logarithmic Equations: Exponent Base Exponent What it equals."

Similar presentations


Ads by Google