C2 Exponentials and Logarithms Flashcards

1
Q

x^0 = ?

A
  1. Always. Even 0^0.
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2
Q

x^-n = ?

A

1/x^n

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3
Q

loga(n) = x

is equivalent to what?

A

a^x = n

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4
Q

loga(1) = ?

A

0

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5
Q

loga(a) = ?

A

1

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6
Q

loga(x*y) = ?

A

loga(x) + loga(y)

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7
Q

loga(x) + loga(y) = ?

A

loga(x*y)

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8
Q

loga(x/y) = ?

A

loga(x) - loga(y)

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9
Q

loga(x) - loga(y) = ?

A

loga(x/y)

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10
Q

loga(x)^k = ?

A

k*loga(x)

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11
Q

k*loga(x) = ?

A

loga(x)^k

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12
Q

loga(1/x) = ?

A

-loga(x)

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13
Q

-loga(x) = ?

A

loga(1/x)

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14
Q

loga(x) = ?

change the base to b

A

logb(x)/logb(a)

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15
Q

loga(b) = ?

change the base to b

A

1/logb(a)

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