Chapter 14: Exponentials And Logarithms Flashcards
1
Q
Give the formula for adding two logs with the same base:
A
Log(a) + log(b) = log (ab)
2
Q
Give the formula for subtracting two logs with the same base:
A
Log(a) - log(b) = log (a/b)
3
Q
Give the formula for multiplying a log by K:
A
K log (X) = log (X^K)
4
Q
What is 10^(a log b) equivalent to?
Log= log to the base of 10
A
b ^ a
5
Q
Give a simple example of an exponential function:
A
f(x)= a^x
6
Q
What does an exponential graph look like in general when coefficient is at least 1?
A
Has a asymptote of y=0.
A curve that is always increasing gradient.
7
Q
What is so special about e^x?
A
When f(x)= e^x, fâ(x)= e^x
