1
Q
What does log ask?
A
What exponent gives me this number
2
Q
2.718
A
e
3
Q
Natural logarithm
ln a = x
A
a = e^x
4
Q
log n 1 =
A
0
5
Q
log n (n) =
A
1
6
Q
Restate in log term
2^3 =8
A
log 2 (8) =3
7
Q
Restate in log terms
a = b^x
A
log b a = x
8
Q
Log change of base formula
A
log a x = log b x
———-
log b a
9
Q
Convert logarithmic form to exponential form
Log b (a) = x
A
a = b^x
10
Q
What does exponentiation do to a logarithm
A
Cancels it
b^ logb (x) = x
11
Q
How do you remove a logarithm
Log b (a) = x
A
Exponentiate both sides using same base.
b^log b (a) = b^x
12
Q
What is the inverse operation of a logarithm
A
Exponentiation
13
Q
Common logarithm
log a=x
A
a=10^x
log10 a=x
14
Q
Logn(a) - logn(b) =
A
logn(a/b)
15
Q
Logn (C^m) =
A
mlogn C
16
Q
Log (125) =
A
Log(5^3)
3 log(5)
Math
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