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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 ...
Expand each logarithm. ln ( x 6 y 3) log ( x ⋅ y ⋅ z 3) log 9 ( 33. log 7 ( 3 x. log ( a 6 b 5) Condense each expression to a single logarithm. Rewrite each equation in exponential form. Rewrite each equation in logarithmic form. Solve each equation. Round your answers to the nearest ten-thousandth. 90) No solution.
Expand the following logarithms using one or more of the logarithm rules. Sometimes you need to write an expression as a single logarithm. Use the rules to work backwards. log3x2 + log3y . Use the Product Rule for Logarithms. Use the Power Rule for Logarithms. Simplify. Use the Quotient Rule for Logarithms. Simplify. Write as a single logarithm.
number not involving a logarithm. a) log 24 log 32 2− b) log 96 3log 2 log 43 3 3− − c) 5 5 5 1 2 log 500 log log 10 5 + − d) 2log 54 log 0.25 4log 23 3 3− − e) 8log 2 log 4 3log 96 6 6− −( ) 3 , 1 , 3 , 6 , 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
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.
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σχετικά με: expanding logarithm worksheet 5th class mathAccess the most comprehensive library of K-8 resources for learning at school and at home. Get thousands of teacher-crafted activities that sync up with the school year.
