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

10.

Logarithmic Functions

10.1

What is a logarithm?

10.2

Converting from logarithmic form to exponential form

10.3

Evaluating logarithms without a calculator

10.4

Common logarithms

10.5

Natural log: ln

10.6

Evaluating logarithms using change-of-base formula

10.7

Converting from exponential form to logarithmic form

10.8

Solving exponential equations with logarithms

10.9

Product rule of logarithms

10.10

Quotient rule of logarithms

10.11

Combining product rule and quotient rule in logarithms

10.12

Evaluating logarithms using logarithm rules

10.13

Solving logarithmic equations

10.14

Graphing logarithmic functions

10.15

Finding a logarithmic function given its graph

We have over 1380 practice questions in NZ Year 11 Maths for you to master.

Get Started Now10.1

What is a logarithm?

10.2

Converting from logarithmic form to exponential form

10.3

Evaluating logarithms without a calculator

10.4

Common logarithms

10.5

Natural log: ln

10.6

Evaluating logarithms using change-of-base formula

10.7

Converting from exponential form to logarithmic form

10.8

Solving exponential equations with logarithms

10.9

Product rule of logarithms