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Worksheet by Kuta Software LLC Answers to 9.5 CA - Properties of Logarithms (ID: 1) 1) log u log v 2) log u 3) log u log v 4) log x log y log z 5) log d log a log b log c 6) log a log b log c 7) log u v 8) log u 9) log
. . = logbX – logbY. logb(XY) = logbX + logbY Power Rule for Logarithms. Quotient Rule for Logarithms. Product Rule for 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.
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.
The Meaning Of Logarithms Date_____ Period____ Rewrite each equation in exponential form. 1) log 6 36 = 2 2) log 289 17 = 1 2 3) log ... N n 9MvaQdner gw yiEt Rhn vISn ufMiTni8tmeC yA 4l QgSe CbrZaK X2b.u Worksheet by Kuta Software LLC 17) (1 5) x = y 18) 6y = x 19) 9y = x 20) ba = 123 Evaluate each expression. 21) log 4 64 22) log 6 216 23 ...
Worksheet by Kuta Software LLC-2-11) log 5 c + log 5 a 3 + log 5 b 3 12) 5log 4 u − 6log 4 v 13) 3log 2 w + log 2 u 2 14) 3log 9 u + 9log 9 v 15) log 8 a + log 8 b + 3log 8 c 16) 20log 2 x − 4log 2 y Use the properties of logarithms and the logarithms provided to rewrite each logarithm in terms of the variables given. 17) log 8 7 = X log 8 ...
Worksheet by Kuta Software LLC Algebra 2 ... [ X2E0C1s6B NKjuTtra[ mS_odfPtTwbaZrCe\ ZLZLMCb.] g ZAylMlV RrFi_gPhTtKss srWeDsTehr_vTehdd.-1-Expand each logarithm. 1) log 3 a3 2) log 6 (x × y) 3) log 7 x6 4) log 2 u v 5) log 4 u5 v6 6) log 9 x5 y6 7) log 2 (u × v × w4) ... Round your answers to the nearest ten-thousandth. 39) logx + log6 ...
