What is the exponential equation given the two points (-1, 8 1/3) and (2, 1.8) ?
y = 5(0.6)^x
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
What is the concentration of hydrogen ions for tomato juice with a pH of 4.0?
what is 5.0 x 10^-7
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
What is the percent of growth or decay for y = 12(17/10)^x?
70% increase
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
What is percent of increase or decrease for y = 2(0.65)^x ?
35% decrease
500
What is pH of mustard if the concentration of hydrogen ions is 2.5 x 10^-4
the pH of mustard is 3.6
500
Is log base 2 of 4 + log base 2 of 8 = 5 a true or false statement?