8.1-8.2
What is a logarithmic function?
The inverse of the exponential function y=a^x
Solve for x: log₅ (47) = x
X is approximately 2.39
(a^x)^y = a^xy
How might the pH of a substance correlate to logarithmic functions?
Because it is based on a logarithmic scale, which uses powers of 10 to compare numbers that vary greatly in size.
What is an argument in a logarithmic function?
In the function: f(x)= log (7x -3), (7X -3) is the argument
Estimate the value of the following logarithm to two decimal places: log₆ (115)
About 2.65
Simplify the logarithmic expression:
log₃ (6) + log₃ (4.5)
3
What is the preceding interval equation?
[f(a - h) - f(a)] / h
State the domain and range of the following equation: g(x) = 2 log [-2(x+2)]
D = { x E R | x < -2}
R = { y E R}
Determine the inverse of the following relation:
y = (0.5) ^ (x + 2)
log₀.₅ (x-2)
Solve:
log7(x+1) +log7(x-5) = 1
x = 6
Is the instantaneous rate of change constant for exponential and logarithmic functions?
No, the IRoC is not constant for exponential and logarithmic functions