Laws Of Logarithms
Muhtasari
Logarithms turn multiplication into addition and powers into multiplication, which is exactly what once made them the engine of hand calculation. Today their laws are the key to solving exponential equations and to handling any quantity that grows or shrinks by repeated factors.
In this lesson you will learn the three core laws of logarithms, the product, quotient and power laws, plus the change-of-base formula. You will use them to combine, split and simplify logarithmic expressions, the essential groundwork for the exponential equations that follow.
Malengo
- Know and use the laws of logarithms, including the change of base of logarithms.
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- Which is the product law of logarithms? A. log(ab) = log a + log b B. log(ab) = log a x log b C. log(a + b) = log a + log b D. log(ab) = log a - log b Answer: A
- Write log 6 + log 4 - log 3 as a single logarithm. A. log 7 B. log 8 C. log 24 D. log 2 Answer: B
- Simplify 2 log 3 + log 5. A. log 11 B. log 30 C. log 45 D. log 15 Answer: C
- The power law states that log(a^n) equals: A. n + log a B. n log a C. (log a)^n D. log a / n Answer: B
- Using change of base, log_2 10 is approximately: A. 0.30 B. 3.32 C. 5.00 D. 10.0 Answer: B
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Sehemu ya kitabu
Logarithmic Properties
Use the product rule for logarithms.
"College Algebra: Logarithmic Properties" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/college-algebra/pages/6-5-logarithmic-properties. Access for free at https://openstax.org/books/college-algebra/pages/1-introduction
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