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- UK Year 13 Maths
- 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: 1a1:45
- Lesson: 1b2:31
- Lesson: 1c1:57
- Lesson: 1d5:22
- Lesson: 1e1:54
- Lesson: 1f2:01
- Lesson: 2a5:27
- Lesson: 2b0:30
- Lesson: 34:14
- Lesson: 45:04

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

- 1.Evaluate:a)$\log_832$b)$\log_51$[useful rule: $\log_b1 = 0]$c)$\log_55$[useful rule: $\log_bb = 1]$d)-3$\log_{16}1024$e)$\log_3 (\frac{1}{81})$f)$\log_2 {^5}\sqrt{64}$
- 2.
**A Logarithmic Expression As An Exponent**

Evaluate:a)${3^{log_39}}$[useful rule: ${b^{log_ba}} = a]$b)${2^{log_21024}}$ - 3.evaluate:$\log_{25} \sqrt{125}$
- 4.without using a calculator, determine which logarithmic expression has a bigger value:

$\log_220$vs.$\log_380$

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