Describe the transformation of the exponential function f(x)=4^(x-3).
The graph is shifted three units to the right from the parent function.
100
Write the exponential equation 4^5= 1,024 in logarithmic form.
What is log (base 4) 1,024 = 5 ?
100
If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, how many bacteria will there be in 5 hours?
Round to the nearest whole number.
What is 9,155 bacteria?
100
Solve:
8^(2x)=8^(x+7)
What is x=7?
100
Solve:
log(base 1/7)(7x+3)=log(base 1/7)(2x+13)
What is x=2
200
What is the asymptote of the exponential graph
y=-2^(x-3)+5?
What is y=5.
200
Write the exponential equation 27^ (1/3) = 3 in logarithmic form.
What is log (base 27) 3 = 1/3 ?
200
In 1997, the whitetail deer population in Acadia National Park was tracked at 670 deer. During the next 20 years, it is predicted that the population will grow by about 2% per year. Predict the deer population in 2014.
What is 938 deer?
200
Solve:
25^(x-4)=5^(3x+1)
What is x=-9 ?
200
Solve: log (base 3) x = 5
What is x = 243 ?
300
What is the asymptote of the graph of
f(x)= log(x + 2) -1 ?
What is x=-2.
300
Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3
300
A corporate jet originally costs $17,550,000. If its value depreciates by 5% per year, what will its value be after 10 years?
What is $10,507,833.28.
300
Solve:
e^(2x)=e^(x+4)
What is x=4?
300
Solve:
log(base 5)25^(3x)
What is 6x
400
What is the transformation of the graph y=-log(base 4)2x-1?
What is reflected over the x-axis, horizontal shrink of 2, and moved down 1 unit.
400
Expand ln(x^2y)^(1/3)
What is (2/3)lnx + (1/3)lny
400
If $4,500 is invested at 5% for four years what will be the balance if it is compounded quarterly?
What is $5,489.50.
400
Solve:
2ln(x+3)=ln(13x+3)
What is x=6 and x=1.
400
Solve:
2log(base 6)2=log(base 6)(4x+6)
What is x=-1/2.
500
What are the guide points for the exponential function 4(1/2)^(x-1)+1?
What is (0,1) ,(1, 1/2), and (-1,2).
500
Condense log2x+log3x-logx into one log expression.
What is log(6x)
500
If $4,500 is invested at 5% for five years what will be the balance if it is compounded continuously?