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Year 1
Pure
Log Laws
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Created by
Lukas Skripka
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Cards (11)
l
o
g
a
(
n
)
=
log_a(n) =
l
o
g
a
(
n
)
=
x
x
x
Is the same as?
a
x
=
a^x =
a
x
=
n
n
n
ln(xy) Is the same as?
ln(x) + ln(y)
What is the same as
l
n
(
x
/
y
)
ln(x/y)
l
n
(
x
/
y
)
ln(x) - ln(y)
What is the same as
l
n
(
x
k
)
ln(x^k)
l
n
(
x
k
)
k
l
n
(
x
)
kln(x)
k
l
n
(
x
)
What is the same as
l
n
(
1
/
x
)
ln(1/x)
l
n
(
1/
x
)
−
l
n
(
x
)
-ln(x)
−
l
n
(
x
)
What does equal to?
l
n
(
e
)
ln(e)
l
n
(
e
)
1
What does ln(1) equal to?
0
How can also be written as?
a
x
=
a^x =
a
x
=
n
n
n
l
o
g
a
(
n
)
log_a(n)
l
o
g
a
(
n
)
=
x
l
n
(
x
)
+
ln(x) +
l
n
(
x
)
+
l
n
(
y
)
ln(y)
l
n
(
y
)
can be written as?
l
n
(
x
y
)
ln(xy)
l
n
(
x
y
)
kln(x) can also be written as?
l
n
(
x
k
)
ln(x^k)
l
n
(
x
k
)
-ln(x) can also be written as?
l
n
(
1
/
x
)
ln(1/x)
l
n
(
1/
x
)