Answer:
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
Explanation: