Logarithmic rules Flashcards

1
Q

log_b(M*N)

A

log_bM+log_bN

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2
Q

log_b(M/N)

A

log_bM-log_bN

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3
Q

log_b(M^k)

A

k*log_bM

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4
Q

log_b(1)

A

0

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5
Q

log_b(b)

A

1

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6
Q

log_b(b^k)

A

k

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7
Q

b^(log_b(k))

A

k

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8
Q

log_b(x)

A

log_c(x)/log_c(b)

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9
Q

ln(x)(y)

A

ln(x)+ln(y)

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10
Q

ln(x/y)

A

ln(x)-ln(y)

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11
Q

ln(1/x)

A

-ln(x)

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12
Q

ln(x^y)

A

y*ln(x)

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13
Q

ln(-k)

A

undefined

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14
Q

ln(0)

A

undefined

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15
Q

ln(1)

A

0

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16
Q

ln(∞)

A

17
Q

ln(e)

A

1

18
Q

lne^x

A

x

19
Q

e^ln(x)

A

x

20
Q

e^-ln(x)

A

1/x

21
Q

e^(ln(x)-ln(y))

A

x/y

22
Q

a^(log_a(x))

A

x

23
Q
A