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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 (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 ...
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 ...
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
Access our logarithms worksheets featuring equations that challenge you to find exponent and logarithm values, expand logs, condense logs, and evaluate both common and natural logarithms. Refer to the attached answer key for guidance as you tackle these exercises.
©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 ...
©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 ...
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σχετικά με: expanding logarithm worksheet 5thGet thousands of teacher-crafted activities that sync up with the school year. Bring learning to life with worksheets, games, lesson plans, and more from Education.com.
