Exponential and Logarithm Properties Flashcards
1
Q
loga(xy)
A
logax + logay
2
Q
loga(x)r
A
r*logax
3
Q
loga(x/y)
A
logax - logay
4
Q
EX.
ln(1/e)
A
= ln(e-1)
= -ln(e1)
= -1
OR
= ln(1) - ln(e)
= 0 - 1
= -1
5
Q
loga(ax)
log10(104)
A
x
4
6
Q
loga1
A
1
7
Q
logaa
A
1
8
Q
y = logax
A
ay = x
9
Q
Base Change Formula:
logax
A
lnx/lna
10
Q
ax * ay
A
ax+y
11
Q
(ax/ay)
A
ax-y
12
Q
(ab)x
A
axbx