Exponential and Logarithmic Basics
Determine if the function is exponential growth or decay.
4 * (2/3)x
What is exponential decay?
Rewrite as a logarithmic function:
3x = 12
What is log3 12 = x ?
Condense the following:
log2 3 + log2 x
What is log2 3x?
What is log45 + log4x + log4y ?
Solve the following equation:
5x = 75
What is x = 2.683?
Determine if the function is exponential growth or decay.
0.5 * (5)x
What is exponential growth?
Rewrite as an exponential function: log4 7 = x
What is 4x = 7 ?
Condense the following:
2 log6x - 3 log6y
What is log6 x2/y3 ?
Expand the following: ln 7/x
What is ln 7 - ln x ?
Solve the following equation: 4 log6 2x = 18
What is x = 1587.269?
Evaluate log9280 = ?
What is 2.565?
Rewrite as an exponential function: log 5 = x
What is 10x = 5 ?
Condense the following:
1/2 ln x - 1/3 ln (x + 4)
What is ln sqrt(x)/cubert(x + 4)
Expand the following: log x2yz3
What is 2 log x + log y + 3 log z ?
Solve the following equation: 3ex = 204
What is x = 1.773?
Evaluate log5 (1/100).
What is -2.861?
Rewrite as a logarithmic function: ex = 15
What is ln 15 = x ?
Condense the following:
3 log x - [log x + 4 log (x - 1)]
What is log x3 / x(x-1)4
Expand the following: log7 cuberoot(x-2)
What is 1/3 log7 (x - 2)?
Solve the following equation: 6 + 23x-4 = 50
What is x = 3.153?
Identify the domain and range of the logarithmic function.
The domain - (0, infinity)
The range - all real numbers
Rewrite as an exponential function: ln x = 10
What is e10 = x ?
Condense the following:
1/2 log3w - 6 log3x - log3y + 4 log3z
Expand the following: log2x5y3 / z1/2
What is 5 log2x + 3 log2y - 1/2 log2 z ?
Solve the following equation: 5 - 3 log (x - 2) = 20
What is x = 2.00001?