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Use the Power Rule for Logarithms. Since 7a is the product of 7 and a, you can write 7a as 7 • a. Use the Product Rule for Logarithms. 5 3 log = log511 – log53 Use the Quotient Rule for Logarithms. The following examples use more than one of the rules at a time. 2 c . The answer is 2•log2a + log2b – log2c.
Properties of Logarithms Date_____ Period____ Expand each logarithm. 1) log (6 ⋅ 11) log 6 + log 11 2) log (5 ⋅ 3) log 5 + log 3 3) log (6 11) 5 5log 6 − 5log 11 ... Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com. Title: Properties of Logarithms
Free 29 question Worksheet(pdf) with answer key on the properties of logarithms (product,quotient and power rules)
4 Free worksheets with answer keys on logarithms. Each one has model problems worked out step by step, practice problems and challenge proglems.
Worksheet by Kuta Software LLC-2-11) log 5 c + log 5 a 3 + log 5 b 3 12) 5log 4 u − 6log 4 v 13) 3log 2 w + log 2 u 2 14) 3log 9 u + 9log 9 v 15) log 8 a + log 8 b + 3log 8 c 16) 20log 2 x − 4log 2 y Use the properties of logarithms and the logarithms provided to rewrite each logarithm in terms of the variables given. 17) log 8 7 = X log 8 ...
A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction. We will learn more about it in the benefits of properties of logarithm worksheets.
Condense the expression using the properties of logs. The word log will be used once in each problem. log3 32. log3 7- log3 x 34. log4 5 + log4 x + log4 y 36. 2 log2 x —3 log2 y 38. log2 x —2 logs y 33. 35. 37. 39. logs 2 logs x + log53 log 3 log10 x— 4 log3 4+ 2 log3 x — log3 5 310ga2+ loga 6— - logio 12 27 45. 42. log3 5— loga x ...