Logarithms Flashcards

1
Q

Log-a(x) = y
Identify a, x and y

A

A = base
X = a^y
Y = power

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Limitations of logs
(Logs can only be used if)

A

a > 0
a != 1
x >= 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What is
Log-a(a)

xlog-a(a)

kLog-a(x)

A

Log-a(a) = 1

xLog-a(a) = x

kLog-a(x) = Log-a(x)^k
- any coefficient of the log can become the power of x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Logarithmic operational rules

A

Log-a(x) + Log-a(y) = Log-a(x*y)

Log-a(x) - Log-a(y) = Log-a(x/y)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly