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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: 1a1:52
- Lesson: 1b1:57
- Lesson: 217:21

Basic Concepts:Logarithmic scale: Richter scale (earthquake), Logarithmic scale: pH scale, Logarithmic scale: dB scale,

- 1.Solve for $x$ , by converting from exponential form

to log form:a)$y = 5 \cdot {2^x}$b)$6 \cdot {3^x} = 90$ - 2.Let's revisit the earlier example about Bianca saving up money to buy her dream car, Mini Cooper.

Now we are ready to find out the exact amount of time it'll take Bianca to save up $30,000:

On Bianca's 5-year-old birthday, Bianca gets a birthday gift of $100 cash from her dad.

Bianca's dad promises to double her money yearly if Bianca plans to not spend the

money but instead deposits it into "daddy-super-saving-account". Will Bianca be able

to afford her dream car, Mini Cooper, worth $30,000 when she turns 16-year-old?

16.

Logarithmic Functions

16.1

What is a logarithm?

16.2

Converting from logarithmic form to exponential form

16.3

Evaluating logarithms without a calculator

16.4

Common logarithms

16.5

Natural log: ln

16.6

Evaluating logarithms using change-of-base formula

16.7

Converting from exponential form to logarithmic form

16.8

Solving exponential equations with logarithms

16.9

Product rule of logarithms

16.10

Quotient rule of logarithms

16.11

Combining product rule and quotient rule in logarithms

16.12

Evaluating logarithms using logarithm rules

16.13

Solving logarithmic equations

16.14

Graphing logarithmic functions

16.15

Finding a logarithmic function given its graph

We have over 1140 practice questions in AU Year 11 Maths for you to master.

Get Started Now16.1

What is a logarithm?

16.2

Converting from logarithmic form to exponential form

16.3

Evaluating logarithms without a calculator

16.4

Common logarithms

16.5

Natural log: ln

16.6

Evaluating logarithms using change-of-base formula

16.7

Converting from exponential form to logarithmic form

16.8

Solving exponential equations with logarithms

16.9

Product rule of logarithms