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Expanding and Condensing Logarithms Expand each logarithm. Justify each step by stating logarithm property used. Level 2: 1) log 7 3 10 2) log 9 11 5 3) log 8 u v 4) log 3 3 x 5) ln x3 6) log 8 (x ⋅ y) Level 3: 7) log 3 (x y) 4 8) log 4 84 7 9) log 4 (7 12) 5 10) log 6 (a ⋅ b ⋅ c) 11) log 5 x5 y 12) log 6 3 u2 Level 4: 13) log 9 (x5 y) 6 ...
Expand each logarithm. 1) log (x4 y) 6 2) log 5 (z2x) 3) log 5 (x4y3) 4) log 6 (ab3) 2 5) log (62 7) 2 6) log 4 (6 × 72) 3 7) log 7 (114 8) 2 8) log 9 (xy5) 6 Condense each expression to a single logarithm. 9) 5log 3 11 + 10log 3 6 10) 6log 9 z + 1 2 × log 9 x 11) 3log 4 z + 1 3 × log 4 x12) log 6 c + 1 2 × log 6 a + 1 2 × log 6 b 13) 6log ...
The following examples show how to expand logarithmic expressions using each of the rules above. Example 1. Expand log2493 . log2493 = 3 • log249 . The answer is 3 • log249. Use the Power Rule for Logarithms. Example 2. Expand log3(7a) log3(7a) = log3(7 • a) = log37 + log3a. The answer is log37 + log3a.
Expand each logarithm. 1) log 8 (34 × 25) 2) log 5 (710 × 3) 3) ln (113 × 12) 6 4) log 2 (x5 × y) 5 5) log 2 (x6 y) 4 6) log (2 × 56) 5 7) log 5 (a4b4) 8) log 8 (x × y × z6) 9) log 6 (x4y2) 10) log 3 (w5 3 u) Condense each expression to a single logarithm. 11) 20log 9 8 - 4log 9 1112) 25log 8 2 - 5log 8 11 13) 5ln7 + 3ln8 14) logc + loga ...
©V OKLupteaf USToBf9tIwTaNrZeA xLfLYCI.A j BAlJlY 1rsi2g8h2tHsN 9r5erspeTrmvBeWdG.6 O 4MXaHdCeT 7woi2tWhO uIkn5fBiWnmi5toeU eAFlugDeJbJrVak G2m.4 Worksheet by Kuta Software LLC Voluntary Worksheet Logarithms: Expand, Condense, Properties, Equations Expand each logarithm. 1) ln (x6y3) 2) log 8 (x ⋅ y ⋅ z3) 3) log 9 (33 7) 4 4) log 7 (x3 y ...
7 Φεβ 2013 · Expanding and Condensing Logarithms Expand each logarithm. Justify each step by stating logarithm property used. Level 2: 1) log 6 u v 2) log 5 3 a 3) log 7 54 4) log 4 u6 5) log (a ⋅ b) 6) log 5 6 7 Level 3: 7) log 4 x3 8) log 6 (3 ⋅ 11)6 9) log 6 (ab3) 10) log 4 (a ⋅ b ⋅ c) 11) log 5 (10 ⋅ 113) 12) log 7 (x ⋅ y)6 Level 4: 13) log ...
Expanding Logarithms Version 1 Name: _____ Date: _____ Score: _____ 2 1) log 27 3 xy 8 4 2 2) log 16 2 x y z 3 81 3) log x y §· ¨¸¨¸ ©¹ 6 4 36 4) log x y §· ¨¸¨¸ ©¹ Direction: Simplify by expanding the logarithmic expressions. Show all your answer in the space provided.
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σχετικά με: expanding logarithm worksheet pdfDownload over 20,000 K-8 worksheets covering math, reading, social studies, and more. Discover learning games, guided lessons, and other interactive activities for children.
