10.2 Logarithms and Logarithmic functions. Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x.

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Presentation transcript:

10.2 Logarithms and Logarithmic functions

Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x

Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x, In Blue y = Log x The functions relate in which way?

The Main Concept of Logarithms Remember the way an exponential function and a Logarithm function is related.

The Main Concept Remember

Write in Exponential form Log 4 16 = 2

Write in Exponential form Log 4 16 = 2

Write in Logarithmic form 5 3 = 125

Write in Logarithmic form 5 3 = 125

How to use the Concept to Solve problems Evaluate

How to use the Concept to Solve problems Evaluate

How to use the Concept to Solve problems Evaluate

How to use the Concept to Solve problems Evaluate

How to use the Concept to Solve problems Evaluate

How to use the Concept to Solve problems Evaluate

Use the concept Solve

Use the concept Solve

Use the concept Solve

Use the concept Solve Why Greater then Zero?

Solve for x Check your solutions

Solve for x Check your solutions

Solve for x Check your solutions They both work. What would make the answers not work?

This Logarithm is impossible Why?

This Logarithm is impossible Try to solve Is there any x that would make it equal -27?

How do you solve Evaluate the expression

How do you solve Evaluate the expression

Homework Page 536 #21 – 39 odd, 47 – 59 odd

Homework Page 536 #22 – 40 odd, 48 – 58 odd