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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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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
Don't just watch, practice makes perfect
Practice topics for 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