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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)
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key. Logarithmic Equations Worksheet. Properties of Logarithms Worksheet (mixed worksheet on all 3 properties below)
8. Prove the following statements. (1) logp b x = 2log x (2) log p1 b p x = log x (3) log 4 x2 = log p x 9. Given that log2 = x, log3 = y and log7 = z, express the following expressions
Properties of Logarithms. Condense each expression to a single logarithm. 1) 4log 10 - 6log 3. 9 9. 3) 4log 7 + 24log. 9 10. 5) log x + log y + 4log z. 5 5 5. 7) 4log x - 24log y. 5 5. 9) 2log x + 5log. 3 3 y. Expand each logarithm. 11) log (xy2)2. 4. a5. 13) log. 4 b5. 15) log. 7. (12 × 54)3. 17) log (x × y × z4) 4. 32. 19) log. 52.
3.3 Logarithmic Properties Condense each expression to a single logarithm. 1) log x log y 2) log x log y 3) log x log y log z 4) log x log z log y 5) log v log w log u 6) log a log c log b Expand each logarithm. 7) log (xy ) 8) log a b
