Logarithims Flashcards
1
Q
Log(b)y=x
A
b^x=y
2
Q
Product Property
A
log(x*y)=log(x) +log(y)
3
Q
Quotient Property
A
log (x/y)= log(x) - log(y)
4
Q
Power Property
A
log(x^n)= n*log (x)
5
Q
Change of Base
A
log(b)a=log a/log b
6
Q
Horizontal Shift
A
Y=log(a)(x+-c)
7
Q
Vertical Shift
A
Y=+-b+log(a)x
8
Q
X-axis reflection
A
Y=-log(a)x
9
Q
Y-Axis Reflection
A
y=log(a)-x
10
Q
log(10)-2
A
no solution -> 10^?=-2
11
Q
log(a)1
A
=0 -> a^?=1
12
Q
log(a)a
A
=1 ->a^?=a
13
Q
log(a)a^x
A
=x -> a^?=a^x
14
Q
a^(log(a)x)
A
=x