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©Y i2 E0Y1 S2s 6KHubtXar VSzoofAtQwfaar2es ALSL rC R.N H lA 8lhlq Tr qiLgzhOt8sk 2raeLsde1r AvQeKdW.7 P LM7a zdFe K bw Rilt 5h U fI Hnif Bi0n AiXt2eM EAKl4gse 2bpr 7av I2 q.s Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ The Meaning Of Logarithms Date_____ Period____
©Y 32 P0n1 Q1j jKXumtIa o 2S 5o hfYtIw haYr3ex eL oLLCR.z d IA yl7lQ Sr biIgLhbtXsG 9r YeRsaehrPvJeid q.7 H 6M da GdGeQ 3wui WtMhQ hIln AfBionLiYtVep VAUlCgGeBb0rhaz K2K.F Worksheet by Kuta Software LLC Condense each expression to a single logarithm. 13) log 3 − log 8 14) log 6 3 15) 4log 3 − 4log 8 16) log 2 + log 11 + log 7
Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Evaluating Logarithms Name_____ Date_____ Period____ Evaluate each expression. 1) log 2) log 3) log 4) log 5) log 6) log 7) log 8) log 9) log 10) log 11) log 12) log Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com
Worksheet by Kuta Software LLC Algebra 2 4.4 Expanding and Condensing Logarithms Name_____ Date_____ Period____ ©v E2d0x1T8r vKruxt_aJ KSnorfptFwkaqrCeG dLFLXCQ.a X GA_lXlS OrRilgfh]tFsP PrAe^sIesrnveemdi. Expand each logarithm. 1) log (x4 y) 6 24logx - 6logy 2) log 5 (z2x) 2log 5 z + 1 2 × log 5 x 3) log 5 (x4y3) 4log 5
Worksheet by Kuta Software LLC-2-Rewrite each of the following in exponential form and then evaluate. 17) log2418) log636 19) log52520) log381 21) log5122) log7343 23) log6 1 36 24) log7 1 343 25) log621626) log164 27) log93 28) log3 1 81 Use a calculator to approximate each to the nearest thousandth. 29) log6230) log3.1 31) log5132) log10
Worksheet by Kuta Software LLC Algebra 2 Solving Logarithm Equations Worksheet Name_____ ©Y ]2U0f1W7U VKEuEtIaj NSPohf_tPw]aKrMeL WLVLMCf.p n wAKljll Pr[iqghhEt\sP srqegsSeVrOvUegdR. Solve each equation. 1) 9log 9 v = 0 2) -log 9 n = 1 3) -7 - 10log 6 r = -274) 7log 5 x - 4 = 17 5) -4log 6-r = -4 6) -4 + log 2-8p = -3 7) 4 - 8log
Worksheet by Kuta Software LLC Algebra 2 Properties of Logarithms Name_____ ©G o2P0v1b7O \KYuptLaE xSEoDfztswqaGrLeT \LNLBCy.g W TAdlil` ZrBiXgqhHtYs\ GrCehsMe[rAvgeldx. Condense each expression to a single logarithm. 1) 4log 9 10 - 6log 9 3 log 9 104 36 2) 12log 7 10 - 2log 7 11 log 7 1012 112 3) 4log 9 7 + 24log 9 10 log 9 (1024 × 74) 4) 5log 2
Worksheet by Kuta Software LLC Algebra 2 Graphing Logarithmic Functions Name_____ ID: 1 Date_____ Block____ ©w m2O0R1C7P AK[uqtsal mSGotfPtGwGakr^eE SLYLUCb.[ C rAklZl^ xrSi]gshLtss` HroexsXefrzvreZdE.-1-Identify the domain and range of each. Then sketch the graph. 1) y = log 3 (x + 5) + 2 x y-8-6-4-22468-8-6-4-2 2 4 6 8
Expand each logarithm. 1) ln (85 7) 4 20ln8 - 4ln7 2) ln (ca × b) lnc + lna 2 + lnb 2 3) ln (uv6) 5 5lnu + 30lnv 4) ln (x × y × z6) lnx + lny + 6lnz Condense each expression to a single logarithm. 5) 25ln5 - 5ln11 ln 525 115 6) 5lnx + 6lny ln (y6x5) 7) ln5 2 + ln6 2 + ln7 2 ln210 8) 20lna - 4lnb ln a20 b4 Use a calculator to approximate each ...
©V OKLupteaf USToBf9tIwTaNrZeA xLfLYCI.A j BAlJlY 1rsi2g8h2tHsN 9r5erspeTrmvBeWdG.6 O 4MXaHdCeT 7woi2tWhO uIkn5fBiWnmi5toeU eAFlugDeJbJrVak G2m.4 Worksheet by Kuta Software LLC Voluntary Worksheet Logarithms: Expand, Condense, Properties, Equations Expand each logarithm. 1) ln (x6y3) 2) log 8 (x ⋅ y ⋅ z3) 3) log 9 (33 7) 4 4) log 7 (x3 y ...
Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Logarithmic Equations Name_____ Date_____ Period____ Solve each equation. Round your answers to the nearest ten-thousandth. 1) log x log log 2) log log x
Expanding and Condensing Logarithms Expand each logarithm. Justify each step by stating logarithm property used. Level 2: 1) log 7 3 10 log 7 10 3 2) log 9 115 5log 3) log 8 u v log 8 u − log 8 v 4) log 3 3 x log 3 x 3 5) ln x3 3ln x 6) log 8 (x ⋅ y) log 8 x + log 8 y Level 3: 7) log 3 (x y) 4 4log 3 x − 4log 3 y 8) log 4 84 7 4log 4 8 ...
Differential Equations. Slope Fields. Introduction to Differential Equations. Separable Equations. Exponential Growth and Decay. Free Calculus worksheets created with Infinite Calculus. Printable in convenient PDF format.
Worksheet by Kuta Software LLC-2-Rewrite each equation in exponential form. 18) log 18 324 = 219) log 14 196 = 2 20) log 11 121 = 2 Rewrite each equation in logarithmic form. 21) 182 = 324 22) 49 1 2 = 7 23) 3-4 = 1 81 Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the ...
Worksheet by Kuta Software LLC-2-11) log 5 (u v) 3 3log 5 u - 3log 5 v 12) log 7 (u × v × w) log 7 u + log 7 v + log 7 w 13) log 3 (x y4) 2 2log 3 x - 8log 3 y 14) log 8 (uv4) log 8 u + 4log 8 v 15) log 4 (x y4) 4 4log 4 x - 16log 4 y 16) log (12 × 112 × 5) 6 6log12 + 12log11 + 6log5 Condense each expression to a single logarithm. 17) 5log ...
Use the Power Rule for Logarithms to move the 2 in 2 log3x to the exponent of x. Use the Product Rule for Logarithms. Example 7. 1. Simplify log 5100– log52. 2. log. 51001/2– log52. = log510 – log52 = log5(10 2) = log55 = 1.
©d 92f0 p1t2 x uK7uUtoar 7S3oIf2tEw 0a Tr1e P uLcLMC6. t Y WAml7lr krBi Ogsh ctMsT aroeNsyeyr ev0e YdV.a I uM Na bdMer Mw7i Otnh T pITnwfli4nri ct0e T LAlsgZe 2b Xr6aj O2 T.z Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Logarithmic Equations Date_____ Period____
Definition of the derivative. Instantaneous rates of change. Power rule for differentiation. Motion along a line. Approximating area under a curve. Area under a curve by limit of sums. Indefinite integrals. Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.
Worksheet by Kuta Software LLC Precalculus The Meaning of Logarithms ... Rewrite each equation in logarithmic form. 9) 121 1 2 = 11 10) 21 = 2 11) 191 = 19 12) 64 1 2 = 8
-2- Worksheet by Kuta Software LLC Condense each expression to a single logarithm. 13) log log 14) log log 15) log log 16) log log 17) log x 18) log a 19) log a log b 20) log x 21) log x log y 22) log u log v