Logarithms Flashcards
1
Q
What are Logarithms?
A
Change to exponential functions
2
Q
How does the number in front of the x in y=a^x affect the curve?
A
The bigger the number the bigger the curve
3
Q
What is the equation for logarithms?
A
loga n = x
a^x = n
4
Q
What is the multiplication law of logarithms?
A
loga xy = loga x + loga y
5
Q
What is the division law of logarithms?
A
loga (x/y) = loga x - loga y
6
Q
What is the power law of logarithms?
A
loga (x)^k = kloga x
7
Q
What is the fourth law of logarithms?
A
loga (1/x) = -loga x
8
Q
How do you draw a logarithm graph?
A
y = ax^n logy = logax^n logy = nlogx + loga y = mx + c
9
Q
How do you solve exponentials? e^x = 2
A
e^x = 2 Ine^x = In2 xIne = In2 Ine = 1 x = In2
10
Q
How do you solve exponentials? In^x = 3
A
In^x = 3 e^Inx = e^3 Inxe = e^3 x = e^3
11
Q
What is exponential logarithms formula?
A
Inx = y x = e^y
12
Q
What is In?
A
natural logarithms
under x on calc
