Logs & exponents Flashcards

1
Q

rewrite Log-a (xy)

A

Log-a(x) + Log-a(y)

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2
Q

rewrite log-a (x/y)

A

Log-a(x) - Log-a(y)

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3
Q

rewrite Log-a (x^r)

A

rLog-a(x)

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4
Q

what is Log-a (a^x)

A

x

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5
Q

what is a^(log-a(x))

A

x

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6
Q

Derive e^(u)

A

e^(u) * u’

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7
Q

Derive ln(u)

A

(u’)/u

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8
Q

Derive Log-a (u)

A

(1/ln(a)) * (u’)/u

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9
Q

Derive a^(u)

A

a^(u) * ln(a) * u’

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