Y1, C14 - Exponentials & Logarithms Flashcards
1
Q
What is the inverse of y = e^x
A
y = lnx
2
Q
Solve 2 ln(x) + 1 = 5
A
x = e^2
3
Q
Solve e^x = 5
A
x = ln5
4
Q
What is the formula for a general exponential form
A
y = Ae^kt
5
Q
How do you turn a polynomial graph into a linear one
y = ax^n
A
Take the log of both sides
log y = log a + n log x
The x and y axis are logged
6
Q
How do you turn an exponential graph into a linear one
y = ab^x
A
Take the log of both sides
log y = x log b + log a
Only the y axis is logged
7
Q
Write in exponential form (P = ab^t):
log P = 0.6t + 2
A
P = 100*3.98^t
8
Q
What is special about ln(3) and -ln(1/3)
A
They are EQUAL
