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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)$\log_{23}5 = log_x\sqrt{0.104}$

23.

Logarithmic Functions

23.1

What is a logarithm?

23.2

Converting from logarithmic form to exponential form

23.3

Evaluating logarithms without a calculator

23.4

Common logarithms

23.5

Natural log: ln

23.6

Evaluating logarithms using change-of-base formula

23.7

Converting from exponential form to logarithmic form

23.8

Solving exponential equations with logarithms

23.9

Product rule of logarithms

23.10

Quotient rule of logarithms

23.11

Combining product rule and quotient rule in logarithms

23.12

Evaluating logarithms using logarithm rules

23.13

Solving logarithmic equations

23.14

Graphing logarithmic functions

23.15

Finding a logarithmic function given its graph

We have over 1420 practice questions in AU Essential Maths for you to master.

Get Started Now23.1

What is a logarithm?

23.2

Converting from logarithmic form to exponential form

23.3

Evaluating logarithms without a calculator

23.4

Common logarithms

23.5

Natural log: ln

23.6

Evaluating logarithms using change-of-base formula

23.7

Converting from exponential form to logarithmic form

23.8

Solving exponential equations with logarithms

23.9

Product rule of logarithms