LOG PROBLEM SOLUTIONS

 
 
 
  8.) Log x =2

x = 10² = 100

  9.) log17^x = 615

xlog17 = 615

x = [615/log(17)]

log 16 < log 17 < log 20

log 16 = 4 log 2 = 4(0.3) =1.2

log 20 = log(2*10)=log2+log 10 = 1.3

log 17 @ 1.22

x = [615/1.22] @ 500

  10.) ln 3^2.5y+1.5ln(3) = 77

2.5y+1.5 = [77/ln(3)]

y = [(([77/ln(3)]-1.5))/2.5] @ 27.5

  11.) log₅4876364 = x

x = [log45876364/log5]

2log2<log 5 < 3 log 2

0.6 < log 5 < 0.9

log5 @ 0.7

  log 4,000,000 < log 4,876,634 < log 5,000,000

 2log2 + 6 < log 4,876,634< log 5 + 6

6.6 < log 4,876,634 < 6.7

x @ [6.7/0.7] @ 9.5

    12.) log_x50 = 3

x³ = 50

x = 3.68