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There are four sets of logarithm & exponential worksheets: Exponential & Logarithmic Forms. Evaluate Logarithms. Expand Logarithms. Condense Logarithms. Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to expand logarithms.
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.
Free 29 question Worksheet (pdf) with answer key on the properties of logarithms (product,quotient and power rules)
7 Φεβ 2013 · Expand each logarithm. Justify each step by stating logarithm property used. Level 2: 1) log u. 6 v. 3) log 54. 7. 5) log ( a ⋅ b) Level 3: 7) log 4 x3. 9) log 6 ( a b3) 11) log ( 10 ⋅ 113) 5. Level 4: 13) log. 2 ( x3 ⋅ y)3. 15) log. 9 ( z x ⋅ y) 17) log ( 8 x3 ⋅ y)2. 2) log 3 a. 5. 4) log u6. 6) log. 5 7. 8) log. 6 ( 3 ⋅ 11)6.
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.
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σχετικά με: expanding logarithm worksheet 7thBring learning to life with worksheets, games, lesson plans, and more from Education.com. Access the most comprehensive library of K-8 resources for learning at school and at home.
