Exponential Functions
Logarithmic Functions
Logarithmic Properties
Common and Natural Logs
Equations
100
For the function y = 3^x, provide 3 points that you would use in a chart (x, y). One of the points must be negative.
What is (1, 3), (2, 9), (0, 1), (-1, 1/3)
100
Convert to an exponent: log(base 8) of 1 = 0
What is 8^0 = 1
100
Condense: log(3) + log(4)
What is log(12)
100
Evaluate: log(1000)
What is 3
100
solve 3^x=30
What is 3.096
200
Does the following represent decay or growth? f(x) = 2(.1)^x
What is Decay
200
Convert to logarithmic form e^7 = 1096.63
What is ln(1096.63) = 7
200
Evaluate: log(-1)
What is undefined
200
Evaluate ln(e)
What is 1
200
solve 5^(2x-3)=10
What is 2.215
300
What would the domain be for the following? f(x) = 5^x
What is (-inf, inf)
300
Consider: y = log(base 2) of (x + 2). What is the x-intercept for this function?
What is -1
300
Use your TI-84 to evaluate: log(base 3) of (4)
What is 1.26
300
Evaluate: ln(root e)
What is 1/2
300
Solve Log (base 3) 3x = 3
What is 9
400
What would the range be for the following? f(x) = 5^x
What is (0, inf)
400
Consider: f(x) = log(base 2) of (x + 2). What is the graph of this function?
What is (-2, inf)
400
Rewrite as a single log: 7log(base 6) of x-log(base6)of 3
What is log(base 6) of (x^7 / 3)
400
Solve: log(x) = 2
What is 100
400
solve lnx - ln 5 = 3
What is 100.43
500
For exponential functions, the x-axis serves as a vertical _______________.
What is asymptote
500
y = 2^x and y = log(base 2) of x are _________________of each other.
What is inverses
500
Expand log (x^3y^2/z)
What is 3log x + 2log y - log (z)
500
Solve: ln(x) = -3. Round to 4 decimal places.
What is .0498
500
Solve 3e^(3x-5) = 49
What is x = 2.598
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