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- AU Maths Extension 1
- Logarithmic Functions

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started NowStart now and get better math marks!

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Get Started Now- Intro Lesson2:09
- Lesson: 13:50
- Lesson: 2a4:12
- Lesson: 2b3:00
- Lesson: 3a4:04
- Lesson: 3b3:16
- Lesson: 3c2:16
- Lesson: 3d2:07
- Lesson: 417:02

Basic concepts: Graphing logarithmic functions,

- Introduction
__Introduction to finding logarithmic function given its graph__i. What is a logarithmic function?

ii. How can we determine the equation of a logarithmic graph?

- 1.
**Determining the Equation of an Exponential Function Given Its Graph**Determine an exponential function in the form $y = \log_{b} x$ with the given graph.

- 2.
**Determining the Equation of a Transformed Logarithmic function given its Graph**Determine a logarithmic function in the form $y = \log_{2} (x + b) + c$ for each of the given graphs.

a)b) - 3.
**Determining the Equation of a Transformed Logarithmic function given its Graph - Continued**Determine a logarithmic function in the form $y = A \log_{2} (Bx)$ for each of the given graphs.

a)b)c)d) - 4.
**Determining the Equation of a Logarithmic Graph With Multiple Transformations**Determine a logarithmic function in the form $y = A \log (Bx+1)+C$ for each of the given graphs.

25.

Logarithmic Functions

25.1

What is a logarithm?

25.2

Converting from logarithmic form to exponential form

25.3

Evaluating logarithms without a calculator

25.4

Common logarithms

25.5

Natural log: ln

25.6

Evaluating logarithms using change-of-base formula

25.7

Converting from exponential form to logarithmic form

25.8

Solving exponential equations with logarithms

25.9

Product rule of logarithms

25.10

Quotient rule of logarithms

25.11

Combining product rule and quotient rule in logarithms

25.12

Evaluating logarithms using logarithm rules

25.13

Solving logarithmic equations

25.14

Graphing logarithmic functions

25.15

Finding a logarithmic function given its graph