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- Logarithmic Functions

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

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

18.

Logarithmic Functions

18.1

What is a logarithm?

18.2

Converting from logarithmic form to exponential form

18.3

Evaluating logarithms without a calculator

18.4

Common logarithms

18.5

Natural log: ln

18.6

Evaluating logarithms using change-of-base formula

18.7

Converting from exponential form to logarithmic form

18.8

Solving exponential equations with logarithms

18.9

Product rule of logarithms

18.10

Quotient rule of logarithms

18.11

Combining product rule and quotient rule in logarithms

18.12

Evaluating logarithms using logarithm rules

18.13

Solving logarithmic equations

18.14

Graphing logarithmic functions

18.15

Finding a logarithmic function given its graph

We have over 1180 practice questions in Fifth Year Maths for you to master.

Get Started Now18.1

What is a logarithm?

18.2

Converting from logarithmic form to exponential form

18.3

Evaluating logarithms without a calculator

18.4

Common logarithms

18.5

Natural log: ln

18.6

Evaluating logarithms using change-of-base formula

18.7

Converting from exponential form to logarithmic form

18.8

Solving exponential equations with logarithms

18.9

Product rule of logarithms