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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 math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 13:21
- Lesson: 2a1:04
- Lesson: 2b1:09
- Lesson: 2c1:21
- Lesson: 2d1:41
- Lesson: 3a3:11
- Lesson: 3b6:47

Basic concepts: Converting from logarithmic form to exponential form, Evaluating logarithms without a calculator, Common logarithms,

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

• change-of-base rule:$\log_ba = \frac{\log_xa}{\log_xb} = \frac{\log a}{\log b}$

• common logarithms:log with base $``10"$example: $\log3 = \log_{10}3$

example: $\log x = \log_{10}x$

• common logarithms:log with base $``10"$example: $\log3 = \log_{10}3$

example: $\log x = \log_{10}x$

- 1.How to apply $``$change-of-base rule$"$

Express $\log_53$ in three different ways. - 2.Using a calculator, evaluate the following logarithms

by applying $``$ change-of-base rule$":$a)$\log_53$b)$\log_7\sqrt{416}$c)$\log_2\frac{7}{25}$d)6$\log_4999$ - 3.Using a calculator, solve for $x$ to the nearest hundredth.a)$\log_6x = log_7 8$b)$\log_{23}5 = log_x\sqrt{0.104}$

22.

Logarithmic Functions

22.1

What is a logarithm?

22.2

Converting from logarithmic form to exponential form

22.3

Evaluating logarithms without a calculator

22.4

Common logarithms

22.5

Natural log: ln

22.6

Evaluating logarithms using change-of-base formula

22.7

Converting from exponential form to logarithmic form

22.8

Solving exponential equations with logarithms

22.9

Product rule of logarithms

22.10

Quotient rule of logarithms

22.11

Combining product rule and quotient rule in logarithms

22.12

Evaluating logarithms using logarithm rules

22.13

Solving logarithmic equations

22.14

Graphing logarithmic functions

22.15

Finding a logarithmic function given its graph

We have over 1270 practice questions in AU Maths Methods for you to master.

Get Started Now22.1

What is a logarithm?

22.2

Converting from logarithmic form to exponential form

22.3

Evaluating logarithms without a calculator

22.4

Common logarithms

22.5

Natural log: ln

22.6

Evaluating logarithms using change-of-base formula

22.7

Converting from exponential form to logarithmic form

22.8

Solving exponential equations with logarithms

22.9

Product rule of logarithms