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

8.

Logarithmic Functions

8.1

What is a logarithm?

8.2

Converting from logarithmic form to exponential form

8.3

Evaluating logarithms without a calculator

8.4

Common logarithms

8.5

Natural log: ln

8.6

Evaluating logarithms using change-of-base formula

8.7

Converting from exponential form to logarithmic form

8.8

Solving exponential equations with logarithms

8.9

Product rule of logarithms

8.10

Quotient rule of logarithms

8.11

Combining product rule and quotient rule in logarithms

8.12

Evaluating logarithms using logarithm rules

8.13

Solving logarithmic equations

8.14

Graphing logarithmic functions

8.15

Finding a logarithmic function given its graph

We have over 760 practice questions in UK Year 13 Maths for you to master.

Get Started Now8.1

What is a logarithm?

8.2

Converting from logarithmic form to exponential form

8.3

Evaluating logarithms without a calculator

8.4

Common logarithms

8.5

Natural log: ln

8.6

Evaluating logarithms using change-of-base formula

8.7

Converting from exponential form to logarithmic form

8.8

Solving exponential equations with logarithms

8.9

Product rule of logarithms