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- 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 maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Lesson: 1a1:45
- Lesson: 1b2:31
- Lesson: 1c1:57
- Lesson: 1d5:22
- Lesson: 1e1:54
- Lesson: 1f2:01
- Lesson: 2a5:27
- Lesson: 2b0:30
- Lesson: 34:14
- Lesson: 45:04

Related Concepts: Logarithmic scale: Richter scale (earthquake), Logarithmic scale: pH scale, Logarithmic scale: dB scale

- 1.Evaluate:a)$\log_832$b)$\log_51$[useful rule: $\log_b1 = 0]$c)$\log_55$[useful rule: $\log_bb = 1]$d)-3$\log_{16}1024$e)$\log_3 (\frac{1}{81})$f)$\log_2 {^5}\sqrt{64}$
- 2.
**A Logarithmic Expression As An Exponent**

Evaluate:a)${3^{log_39}}$[useful rule: ${b^{log_ba}} = a]$b)${2^{log_21024}}$ - 3.evaluate:$\log_{25} \sqrt{125}$
- 4.without using a calculator, determine which logarithmic expression has a bigger value:

$\log_220$vs.$\log_380$

16.

Logarithmic Functions

16.1

What is a logarithm?

16.2

Converting from logarithmic form to exponential form

16.3

Evaluating logarithms without a calculator

16.4

Common logarithms

16.5

Natural log: ln

16.6

Evaluating logarithms using change-of-base formula

16.7

Converting from exponential form to logarithmic form

16.8

Solving exponential equations with logarithms

16.9

Product rule of logarithms

16.10

Quotient rule of logarithms

16.11

Combining product rule and quotient rule in logarithms

16.12

Evaluating logarithms using logarithm rules

16.13

Solving logarithmic equations

16.14

Graphing logarithmic functions

16.15

Finding a logarithmic function given its graph

We have over 1140 practice questions in AU Year 11 Maths for you to master.

Get Started Now16.1

What is a logarithm?

16.2

Converting from logarithmic form to exponential form

16.3

Evaluating logarithms without a calculator

16.4

Common logarithms

16.5

Natural log: ln

16.6

Evaluating logarithms using change-of-base formula

16.7

Converting from exponential form to logarithmic form

16.8

Solving exponential equations with logarithms

16.9

Product rule of logarithms