Expanding And Condensing Logarithms Worksheet

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$Condensing and expanding logarithms worksheet$

Condensing And Expanding Logarithms Worksheet

Condense each expression to a single logarithm Justify each step by stating the logarithm property used Level 2 19 ln x 3 20 log 4 x log 4 y 21 2ln a 22 log 5 u log 5 v 23 6log 6 7 24 log 5 x log 5 y Level 3 25 3log 2 x 3log 2 y 26 5log u log v 27 3log 7 a 3log 7 b 28 log 7 12 5log 7 5 29 5log 9 6 The following properties serve to expand or condense a logarithm or logarithmic expression so it can be worked with. Properties of logarithms log mn = log m + log n a a m log = log m − log n a a n log n m = n log m a Properties of Natural Logarithms ln mn = ln m + ln n ln = ln m − ln n n ln m = n ln m Example log 3 x = + x log 3 log 4 4 4 + 1

Expanding and condensing logarithms worksheet excelguider

Expanding And Condensing Logarithms Worksheet Excelguider

Expanding And Condensing Logarithms WorksheetExpanding and Condensing Logarithms Condense each expression to a single logarithm. 1) 3log 9 2 − 2log 9 5 log 9 23 52 2) log 6 x + log 6 y + 6log 6 z log 6 (yxz6) 3) 2log 5 x + 12log 5 y log 5 (y12x2) 4) log 3 12 + log 3 7 + 4log 3 5 log 3 (84 ⋅ 54) 5) log 2 5 + log 2 6 2 + log 2 11 2 log 2 (5 66) 6) 3log 2 3 − 12log 2 7 log 2 33 712 . 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 4 log 3 2 5Anl Kl0 TrUihg dhct usG Ur ne msAeXrKvheGdX J n GM2a 7d Ke2 pwNiZt rh s TIJn1fki 8n 0idt te 2 Axlmgre 7bArFa 8 o2O h Worksheet by Kuta Software LLC Condense each expression to a single logarithm 13 log