Exponential Functions
Logarithmic Functions
Laws of Logarithms
Exponential Equations
Logarithmic Equations
100
If f(x) = 3^x what is f(2)?
What is 9?
100
What is the base for the "common logarithm"?
What is 10
100
Name one of the Laws of Logarithms
What is Law 1, 2,3
100
Solve: 2^x = 7
What is 2.807
100
Solve for x: log[2](x+2) = 5
What is x = 30
200
If f(x) = 3^x, 3 is referred to as what?
What is the base?
200
Rewrite in exponential form: log(0.1) = -1
What is 10^(-1) = 0.1
200
Expand: log[2](AB)
What is log[2](A) + log[2](B)
200
Solve: (3^x) -8 = 12
What is 2.726
200
Solve for x: ln(x) = 8
What is 2981
300
If g(x) = e^x what is g(3)?
What is about 20.08554
300
What property of logarithms is being illustrated: log(10^3)=3
What is property 3
300
Expand: log[3](A/B^2)
What is log[3](A) - 2log[3](B)
300
Solve: (3^(x+2)) = 7
What is -0.228756
300
Solve for x: log[2](25-x) = 3
What is 17
400
If h(x) = (1/3) ^2x, what is h(2)?
What is 0.012345679
400
Rewrite in logarithmic form: e^(x+1) = 0.5
What is ln(0.5) = x+1
400
Combine: log(12) + (1/2)log(7) - log(2)
What is log(6 radical 7)
400
Solve: 8e^(2x) = 20
What is 0.458
400
Solve for x from the equation 4+ 3log(2x) = 16
What is x = 5000
500
If f(3) = a^3, = 1/8, what is the function?
What is f(x) = (1/2)^x
500
Find x: log (x) = 2
What is 100
500
Evaluate: log[2](80) - log[2](5)
What is log[2](16) = 4
500
Solve for x: e^(3-2x) = 4
What is 0.807
500
Use the Laws of Logarithms to solve the equation log(x+2) + log(x-1) = 1
What is x = -4 or x = 3
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