Log Rules Flashcards

1
Q

log(ab)

A

log(a) + log(b)

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2
Q

log(a/b)

A

log(a) - log(b)

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3
Q

log(a^n)

A

n * log(a)

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4
Q

log(base “a”) (a)

A

1

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5
Q

log(base “a”) (1)

A

0

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6
Q

natural log = ln(x)

A

log(base “e”) (x)

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7
Q

log(base10) (x) is written as…

A

log(x)

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8
Q

log(10)

A

1

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9
Q

log(1)

A

0

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10
Q

write 2^x = 16 in log form

A

log (base 2) (16) = x

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11
Q

log(base2)(16) = x in words

A

What power do I need to raise 2 to in order to get 16? I’ll set that power as equal to x.

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12
Q

write log(base3) (81) in exponent form

A

3^x = 81

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