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Evaluating logarithms using change-of-base formula
- Lesson: 13:21
- Lesson: 2a1:04
- Lesson: 2b1:09
- Lesson: 2c1:21
- Lesson: 2d1:41
- Lesson: 3a3:11
- Lesson: 3b6:47
Evaluating logarithms using change-of-base formula
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
Lessons
• change-of-base rule:logba=logxblogxa=logbloga
• common logarithms:log with base ‘‘10"example: log3=log103
example: logx=log10x
• common logarithms:log with base ‘‘10"example: log3=log103
example: logx=log10x
- 1.How to apply ‘‘change-of-base rule"
Express log53 in three different ways. - 2.Using a calculator, evaluate the following logarithms
by applying ‘‘ change-of-base rule":a)log53b)log7416c)log2257d)6log4999 - 3.Using a calculator, solve for x to the nearest hundredth.a)log6x=log78b)log235=logx0.104
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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
Don't just watch, practice makes perfect
Practice topics for 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