What is the domain, range, and y-intercept of y = 5(0.6)^x?
Domain: All Real Numbers
Range: All Positive Numbers
Y-Intercept: 5
100
lWhat is logarithmic form for 49 = 7^2?
log base 7 of 49 = 2
100
State the property(s) used in 2 log w + 4 log z - 1/3 log y
What is power, product, and quotient properties.
100
Solve for x: 12^(x - 2) = 20. Round "x" to the nearest tenth.
x = 3.2
100
Express 4 ln 8 = ln 10 as a single natural logarithm.
ln 40,960
200
Is y = (0.75)^x an exponential growth or decay function?
exponential decay
200
Evaluate this logarithm: log base 2 of 2^5?
What is 5.
200
Write log 7 + log 2 as a single logarithm
log 14
200
Solve for "x": 2^(3x - 4) = 5
x = 2.1
200
Solve ln 3x = 6 for "x"
x = 134.5
300
Is y = 81(1/3)^X an exponential growth or decay function?
Exponential decay
300
Write log base 2 of 128 = 7 in exponential form.
2^7 = 128
300
Expand the following logarithm: (x^3y^5)/z
3 log x + 5 log y - log z
300
Use the change of base formula to find log base 2 of 7. round to the nearest hundredth.
2.81
300
Using natural logarithms, solve e^(2x) = 12 for "x"
x = 1.24
400
A population of 120,000 grows 1.2% per year. What is the population after 15 years?
143,512 people
400
What is exponential form for log of base 3 of (1/9)?
what is (1/9) = 3^-2
400
Using the properties of logarithms, evaluate log 1 + log 100
2
400
Solve log 2x = -1
x = 0.0.5
400
An inital deposit of $200 is now worth $331.07. the account earns 8.4% interest, compounded continuously. Find the number of years the money has been in the account.
6 years.
500
Suppose you deposit $2000 in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn from the account, how much will be in the account after 18 years?
$4,051.63
500
Evaluate log base 2 of 16.
4
500
Is log base 2 of 4 + log base 2 of 8 = 5 a true or false statement?