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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.
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.
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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 ...
Using either antilogarithm method or exponential form method, solve each logarithmic equation. Logarithm worksheets contain converting between forms, evaluating expressions, solving logarithmic equations, applying log rules, and more.
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 ...
