6.5-6 LogFunctions - 6-5 Properties of (1 alog=1and alog...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 6-5: Properties of LogarithmsProperties: (1) alog=1and alog a=1; (2) alogMaM=and ralog ar=;(3) (29aaalogMNlog Mlog N=+; (4) aaaMloglog Mlog NN=-; (5) raalog Mr log M=; (6) aaloglog NN= -1. If M, N, and a are positive real numbers and a ≠0 and b≠0, then (7) if M = N, aalog Mlog N=, and (8) if aalog Mlog N ,=M = N. Change of base formulas: (9) bablog Mlog Mlog a=and (10) aln Mlog Mln a=.Use the properties of logarithms to find the exact value of each expression. Do not use a calculator:1.ln e22.loglog+66943.loglog+55675Write as the sum or difference of logarithms:4.( 29ln xx+4215.bx ylogz52366.(29 - - xlnx223241Express as a single logarithm:7.loglogxx+222118.(29bbblog x log x log y+ -2 39.logxlogxlog+ -233332192510.( 29744435log 2 2log 5 3log 3x x+ -Evaluate; round your answer to nearest hundredth.11.log1/215 =12.log51813....
View Full Document

This note was uploaded on 01/04/2012 for the course MAC 1105 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

Page1 / 5

6.5-6 LogFunctions - 6-5 Properties of (1 alog=1and alog...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online