Transcription of Properties of Logarithms
1 Kuta Software - Infinite Algebra 2 Name_____. Properties of Logarithms Date_____ Period____. Expand each logarithm. 1) log (6 11) 2) log (5 3). 5. 4) log (3 2 3 ). 3) log ( )6. 11. 4 6. 5) log 2. 5. 6) log (). 6. 5. x 8) log (a b) 2. 7) log 6. y 4 x u 10) log 9) log v y5. 3. 11) log x y z 12) log ( x y z 2 ). g W2v0Q1Y1E 0 KdumtVam VSKosfyt9wxaSrqeX x 1A4lflV croisgZh2tisD N EMCavdKef DwbiBt2hj uIAnhfzi4nPirtNef HAklQgQe7bgrDap -1- Worksheet by Kuta Software LLC. Condense each expression to a single logarithm. 13) log 3 log 8 log 6. 14). 3. 15) 4 log 3 4 log 8 16) log 2 + log 11 + log 7. 17) log 7 2 log 12 2 log 7. 18). 3. 19) 6 log 3 u + 6 log 3 v 20) ln x 4 ln y 21) log 4 u 6 log 4 v 22) log 3 u 5 log 3 v 23) 20 log 6 u + 5 log 6 v 24) 4 log 3 u 20 log 3 v Critical thinking questions: 25) 2(log 2 x log y) (log 3 + 2 log 5) 26) log x log 2.
2 Y 32P0n1Q1j jKXumtIao 2S5ohfYtIwhaYr3ex d IAyl7lQ SrbiIgLhbtXsG H 6 MdaGdGeQ 3wuiWtMhQ hIlnAfBionLiYtVep VAUlCgGeBb0rhaz -2- Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 2 Name_____. Properties of Logarithms Date_____ Period____. Expand each logarithm. 1) log (6 11) 2) log (5 3). log 6 + log 11 log 5 + log 3. 5. 4) log (3 2 3 ). 3) log ( )6. 11 log 3 + 3 log 2. 5 log 6 5 log 11. 4 6. 5) log 2. 5. 6) log (). 6. 5. 4 log 2 log 5 6 log 6 6 log 5. x 8) log (a b) 2. 7) log 6. y 2 log a + 2 log b log x 6 log y 4 x u 10) log 9) log v y5. 4 log u log v log x 5 log y 3. 11) log x y z 12) log ( x y z 2 ). log x log y log z log x + log y + 2 log z + +. 3 3 3. N N2b081h1U yKfuRtCa3 jSfodflttwkaWrUe7 q HAMlXlH OrCiYglhdtpsW W LM2aDd9e5 7wGi1tfh7 3 IynrfTiwnbiotcef SAKlegpe8bHrNa1 -1- Worksheet by Kuta Software LLC. Condense each expression to a single logarithm.
3 13) log 3 log 8 log 6. 14). 3 3. log 3. 8 log 6. 15) 4 log 3 4 log 8 16) log 2 + log 11 + log 7. 4 log 154. 3. log 84. 17) log 7 2 log 12 2 log 7. 18). 7 3. log 2 3 2. 12 log 7. 19) 6 log 3 u + 6 log 3 v 20) ln x 4 ln y x log 3 (v 6 u 6 ) ln y4. 21) log 4 u 6 log 4 v 22) log 3 u 5 log 3 v u u log 4 log 3. v6 v5. 23) 20 log 6 u + 5 log 6 v 24) 4 log 3 u 20 log 3 v log 6 (v 5 u 20 ) u4. log 3 20. v Critical thinking questions: 25) 2(log 2 x log y) (log 3 + 2 log 5) 26) log x log 2. 4x2 Can't be simplified. log 75 y 2. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at F q2D0X1d1U MKPuBtba9 tSjoVfvtvwFaKr8eH T 5 AnlKl0 TrUihgdhctusG n GM2a7dKe2 pwNiZtrhs TIJn1fki8n0idtte2 AAxlmgre7bArFa8 -2- Worksheet by Kuta Software LLC.
