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Expand the following logarithms. Use either the power rule, product rule or quotient rule. Expand the following logarithms using one or more of the logarithm rules. Sometimes you need to write an expression as a single logarithm. Use the rules to work backwards. log3x2 + log3y . Use the Product Rule for Logarithms.
Properties of logarithms 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."
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 ...
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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
Condense each expression to a single logarithm.
This is a 5 part worksheet: Part I Model Problems (with answers explained) Part II Practice Expanding Logarithms; Part III Rewrite Expression as 1 Term; Part IV Extension Problems; Part V Answer Key
