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After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.
Section 1. Logarithms. The mathematics of logarithms and exponentials occurs naturally in many branches of science. It is very important in solving problems related to growth and decay. The growth and decay may be that of a plant or a population, a crystalline structure or money in the bank.
9. 4 – Intro to Logarithms. Name:_______________________. Write your questions and thoughts here! 1. Two areas of application for logarithms are how we measure earthquakes and sound. What are those measurements called?
Logarithm worksheets are about logarithms, which is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number. "Proportional to the logarithm to the base 10 of the concentration."
I) Model Problems. For any positive numbers X, Y and N and any positive base b, the following formulas are true: logbXN = N • logbX . log . . . = logbX – logbY. logb(XY) = logbX + logbY Power Rule for Logarithms. Quotient Rule for Logarithms. Product Rule for Logarithms.
Introduction to Logarithms ©H [2O0r1u7J GK_uutcaN OSBojfVtewKaDrPen pLxL`Cq.x C sAUlflN SrmivgyhFtGst Arje[sJeLrHvweRde.-1- ... Worksheet by Kuta Software LLC-2-25) log 49 1 7-1 2 26) log 6 216 3 27) log 3 1 9-2 28) log 7 343 3 29) log 7 49 2 30) log 4 64 3 31) log 6 36 2 32) log 2 4 2
Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 7 log 22 2+ b) log 20 log 42 2− c) 3log 2 log 85 5+ d) 2log 8 5log 26 6− e) log 8 log 5 log 0.510 10 10+ − log 142, log 52, log 645, log 26, log 8010
