Student player Testaigahertld P Take a Te MATH 130 ws2 ONLIN

Student player Testaigahertld P Take a Te MATH 130 ws2 ONLINE FALL 2016 sECOND START Test TEST 5 Sections 3.1, 3.2, 3.3, 3.4, 3.5 This Question: 1 pt 17 of 27 (5 complete) use propertes of loganthms to expand the ogammic expression as much as posstle Evaluate logarmmic expressons without using a cakulator possitore.

Solution

ln[(x^6sqrt(x^2 +7)/(x+7)^7

Use laws of logaritm : log(A*B/C) = logA + logB - logC

logA^x = xlogA

So, ln[(x^6sqrt(x^2 +7)/(x+7)^7

= ln(x^6) + ln(sqrt(x^2 +7) - ln(x +7)^7

= 6ln(x) + (1/2)ln(x^2 +7) - 7ln(x+7)