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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.
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 ...
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.
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 ...
Voluntary Worksheet - Logarithms Expand, Condense, Properties, Equations. Logarithms: Expand, Condense, Properties, Equations. Expand each logarithm. ln ( x 6 y 3) log ( x ⋅ y ⋅ z 3) 8. log 9 ( 33. 7 )4. log 7 ( 3 x. )3. log ( a 6 b 5) 8. log ( 4 63 ⋅ 113) 11) log ( c 5 3 a 6 ) 12) ln ( 52. 2 )5. 13) log ( x 3. y )6. 5. 14) log. 4 ( 73 3 2)
