Logarithmic rules Flashcards
1
Q
log_b(M*N)
A
log_bM+log_bN
2
Q
log_b(M/N)
A
log_bM-log_bN
3
Q
log_b(M^k)
A
k*log_bM
4
Q
log_b(1)
A
0
5
Q
log_b(b)
A
1
6
Q
log_b(b^k)
A
k
7
Q
b^(log_b(k))
A
k
8
Q
log_b(x)
A
log_c(x)/log_c(b)
9
Q
ln(x)(y)
A
ln(x)+ln(y)
10
Q
ln(x/y)
A
ln(x)-ln(y)
11
Q
ln(1/x)
A
-ln(x)
12
Q
ln(x^y)
A
y*ln(x)
13
Q
ln(-k)
A
undefined
14
Q
ln(0)
A
undefined
15
Q
ln(1)
A
0