exponent and log laws Flashcards

1
Q

a0 = ?

A

a0 = 1

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2
Q

ax+y = ?

A

ax+y = axay

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3
Q

(ax)m = ?

A

(ax)m = amx

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4
Q

(ax) / (ay) = ?

A

(ax) / (ay) = ax-y

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5
Q

a-x = ?

A

a-x​ = 1 / (ax)

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6
Q

logaa = ?

A

loga​a = 1

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7
Q

loga1 = ?

A

loga​1 = 0

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8
Q

logaxy = ?

A

loga​xy = logax + logay

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9
Q

loga(x/y) = ?

A

loga(x/y) = logax - logay

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10
Q

-logax = ?

A

-loga​x = 1/x

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11
Q

logbx = ?

A

logb​x = (logax)(logba) = logax / logab

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12
Q

ln e = ?

A

ln e = 1

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13
Q

ln ex = ?

A

ln ex = x

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14
Q

eln x = ?

A

eln x​ = x

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15
Q

ax = ?

A

ax = e(ln a)x

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16
Q

logax = ?

A

logax = (ln x) / (ln a)