Applications (7E)
This is the number of rabbits in 4 years if there are currently 12 and their population grows by 85% every year.
What is 141? 12(1.85)4=141
Evaluate: log525
What is 2?
Change 32 = 9 to logarithmic form.
What is log39 = 2?
3x=81
x=4
log(x)-log(y)
What is
log(x/y)?
y=-(3)^x+2
What is reflection and up 2
This is the value of your car if it was purchased 5 years ago for $28,000 but depreciates 18% each year.
What is $10,380.72? 28,000(.82)5
Evaluate: log5(1/25)
What is -2?
Change log464=3 to exponential form.
What is 43=64?
53x=1252
x=2
log(x)+log(y)+log(z)
What is log(xyz)?
f(x) = e^(x-1)+6
What is 1 to the right and up 6
This is the number of years it would take a $2000 investment to triple if the growth rate is 15%.
What is 7.86 years? 2,000(1.15)t=6,000
Evaluate: log164
What is 1/2?
Change b4=7 to logarithmic form.
What is logb7=4?
27x=9x-2
x=-4
Solve ln(2)+ln(x)-ln(3) = ln 12
What is x = 18?
y=3log(x+5)
What is vertical stretch of 3 and shift left 5
This is the amount of money in an account after 5 years if $2000 is compounded continuously at 6.2%
What is $2726.85
A=2000e^(0.062*5)
Evaluate: log1/21/8
What is 3?
Change ln(x)=2 to exponential form.
What is e2=x?
e^(2x-3)=e^(-x+6)
What is x=9
Solve log2x + log24 = 3
What is x = 2
f(x)=-2logx - 3
What is reflection, vertical stretch of 2, shift 3 down
This is the amount of time it would take for a $5000 investment to double if compounded continuously at 4% interest.
What is 17 years ?
10000 =5000e^(.04*t)
Evaluate: log361/6
What is -1/2?
sqrtx=9
Change to logarithmic form.
What is logx9=1/2
1/36=6x+2
x=-4
Solve 3x+3 = 45
What is 0.465?
y=-2*(1/2)^(x+5)+ 1
What is reflection, vertical stretch of 2, shift left 5 and 1 up