Question 392701
Solve For X. Round To The Nearest Hundredth.
1. ln (x+11) - ln (x-3) = ln 3
Solve For X
1. 5^x = 38
2. e^0.52x = 18
3. 53 + 4e^-0.21x = 821
Solve For X To The Nearest Ten-Thousandth.
1. 10 + 4.5^x = 88

Solutions:
1.ln(x+11)-ln(x-3)=ln 3
 =ln(x+11)-ln(x-3)-ln3=0
 =ln(x+11)-(ln(x-3)+ln3)=0
 =ln(x+11)-ln (x-3)*3 = 0
 =ln(x+11)-ln (3x-9 = 0
  ln(x+11)=ln (3x-9
     x+11=3x-9
       2x=20
        x=10

1. 5^x = 38
   xlog5=log38
   x=log38/log5=2.26

2. e^0.52x = 18
   .52x lne =ln18
    lne=1
    x = ln18/.52 = 5.56

3. 53 + 4e^-0.21x = 821
        4e^-.21x = 821-53=768
         e^-.21x = 768/4=192
         -0.21x lne = ln 192
          lne=1
           -.21x = ln 192
               x = ln 192/-.21 = -25.04

1. 10 + 4.5^x = 88
   4.5^x = 88-10 = 78
   x log 4.5 = log 78
         x = log 78/log 4.5
         x = 2.8966