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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.
T-3-Worksheet by Kuta Software LLC Answers to 7.5 Corrective Assignment - Properties of Logarithms (ID: 1) 1) log 2) log x log y 3) log u 4) log u log v 5) log log 6) log log 7) log x log y log z 8) log log 9) log log
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 ...
Worksheet by Kuta Software LLC Algebra 2 Properties of Logarithms Name_____ ©G o2P0v1b7O \KYuptLaE xSEoDfztswqaGrLeT \LNLBCy.g W TAdlil` ZrBiXgqhHtYs\ GrCehsMe[rAvgeldx. Condense each expression to a single logarithm. 1) 4log 9 10 - 6log 9 3 log 9 104 36 2) 12log 7 10 - 2log 7 11 log 7 1012 112 3) 4log 9 7 + 24log 9 10 log 9 (1024 × 74) 4) 5log 2
Free 29 question Worksheet(pdf) with answer key on the properties of logarithms (product,quotient and power rules)
