Log and Ln rules
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Last updated 2:30 PM on 6/5/26
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15 Terms
1
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Log product rule: log(ab)
log(a) + log(b)
2
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Log quotient rule: log(a/b)
log(a) - log(b)
3
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Log power rule: log(aⁿ)
n·log(a)
4
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Log of 1: log(1)
0
5
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Log of its own base: log_a(a)
1
6
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Log change of base: log_a(b)
log(b)/log(a) = ln(b)/ln(a)
7
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Log inverse: a^(log_a(x))
x
8
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Log of reciprocal: log(1/a)
-log(a)
9
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ln product rule: ln(ab)
ln(a) + ln(b)
10
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ln quotient rule: ln(a/b)
ln(a) - ln(b)
11
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ln power rule: ln(aⁿ)
n·ln(a)
12
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ln of 1: ln(1)
0
13
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ln of e: ln(e)
1
14
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ln inverse: ln(eˣ)
x AND e^(ln x) = x
15
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ln of reciprocal: ln(1/a)
-ln(a)