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Evaluating logarithms using logarithm rules
- Intro Lesson0:16
- Lesson: 1a1:42
- Lesson: 1b1:12
- Lesson: 1c1:24
- Lesson: 25:21
- Lesson: 32:10
- Lesson: 4a1:54
- Lesson: 4b1:55
- Lesson: 5a2:05
- Lesson: 5b3:50
- Lesson: 6a3:12
- Lesson: 6b5:18
Evaluating logarithms using logarithm rules
Basic Concepts: Evaluating logarithms using change-of-base formula, Product rule of logarithms, Quotient rule of logarithms
Lessons
- IntroductionA Summary of Logarithm Rules
- 1.Select the correct answer:a)Which of the following correctly states the
"product law"?
i)log28+log24=log212
ii)log28+log24=log232
iii)log28⋅log24=log232b)Which of the following correctly states the
"quotient law"?
i)logb15−logb3=logb5
ii)logb15−logb3=logb12
iii)logb32logb8=logb(41)c)Which of the following correctly states the
"power law"?
i)(log100)3=log1003
ii)(log100)3=3log100
iii)log1003=3log100 - 2.Evaluate and state the laws involved in each step of
the calculation:
5log23205log2380 - 3.Express as a single logarithm:
logA−3logB−logC - 4.Evaluate logarithms:a)Determine the value of lognab2,
if logna=5 and lognb=3b)Given: log5x=y
ask: expresslog5125x4 - 5.Evaluate.a)log315−21log35b)aloga6(aloga8)(aloga3)
- 6.a)If log3x2=2 and 2logbx=31,
then the value of b is ____________________ .b)If log5x2=4 and log2y3=6, and logbx+logby=21 where x, y > 0,
then the value of b is ____________________ .
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25.
Logarithms
25.1
What is a logarithm?
25.2
Converting from logarithmic form to exponential form
25.3
Evaluating logarithms without a calculator
25.4
Common logarithms
25.5
Natural log: ln
25.6
Evaluating logarithms using change-of-base formula
25.7
Converting from exponential form to logarithmic form
25.8
Solving exponential equations with logarithms
25.9
Product rule of logarithms
25.10
Quotient rule of logarithms
25.11
Combining product rule and quotient rule in logarithms
25.12
Evaluating logarithms using logarithm rules
25.13
Solving logarithmic equations