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7.5 Properties of Logs. Expand each logarithm. 1) log. 3 a ⋅ b ⋅ c. ( a. 3) log. 5) log. 3 (x6y2) 7) log (x5 ⋅ y)4. 3. Condense each expression to a single logarithm. 9) 4log. 5 + 3. log. w 5. u. Name___________________________________ Date________________ Hour____ 2) log. v )5. x. 4) log. 5 ( 6) log (a5 ⋅. 3 b)2. 8) ln (x2 ⋅ y)5.
Properties of Logarithms Date_____ Period____ Expand each logarithm. 1) log (6 ⋅ 11) log 6 + log 11 2) log (5 ⋅ 3) log 5 + log 3 3) log (6 11) 5 5log 6 − 5log 11 ... Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com. Title: Properties of Logarithms
Expand the following logarithms. Use either the power rule, product rule or quotient rule. 1. log2(95) = __________. 3. log. 19 . 5 2 = __________. 5. log3(xy) = __________. 7. log3(5y) = __________. 2. log2(21) = __________.
Free 29 question Worksheet (pdf) with answer key on the properties of logarithms (product,quotient and power rules)
Basic Properties of Logarithms. Logarithms are only defined for positive real numbers. log v and ln v are defined only when v > 0 . You should have noticed in the last section that the graphs of y = log x and y = ln x both contain the point (1, 0) because 100 = 1 and e0 = 1 .
Properties of Logarithms. Condense each expression to a single logarithm. 1) 4log 10 - 6log 3. 9 9. 3) 4log 7 + 24log. 9 10. 9. 5) log x + log y + 4log z. 5 5 5.
Worksheet by Kuta Software LLC. Condense each expression to a single logarithm. 13) log 3 − log 8. 15) 4log 3 − 4log 8. 17) log 7 − 2log 12. 19) 6log. 3 u + 6log. 3 v. 21) log u − 6log v. 4 4. 23) 20log u + 5log. 6 6 v. Critical thinking questions: 25) 2( log 2 x − log y ) − ( log 3 + 2log 5)
