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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.
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.
Expand Logarithms Worksheets - showing all 8 printables. Worksheets are Expanding and condensing logarithms, Single logarithm and expansion 1, Expandi...
Logarithm worksheets are about logarithms, which is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number. "Proportional to the logarithm to the base 10 of the concentration."
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 ⋅ 11 3) 12) log 7 (x ⋅ y)6 Level 4: 13) log ...
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 ...
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