Exponentials and Logs (1) Flashcards

1
Q

log_aB = c is equivalent to?

A

a^c = B

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2
Q

a^c = B

A

log_aB = c is equivalent to?

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3
Q

log_aA equivalent to?

A

1

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4
Q

1

A

log_aA equivalent to?

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5
Q

log_a1 equivalent to?

A

0

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6
Q

0

A

log_a1 equivalent to?

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7
Q

log_aX + log_aY is equivalent to?

A

log_a(XY)

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8
Q

log_a(XY)

A

log_aX + log_aY is equivalent to?

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9
Q

log_aX - log_aY is equivalent to?

A

log_a(X/Y)

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10
Q

log_a(X/Y)

A

log_aX - log_aY is equivalent to?

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11
Q

log_aX^k is equivalent to?

A

k log_aX

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12
Q

k log_aX

A

log_aX^k is equivalent to?

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13
Q

How to change base of log_aX?

A

(log_bX)/(log_bA)

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14
Q

(log_bX)/(log_bA)

A

How to change base of log_aX?

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15
Q

Log form of y=ax^n

A

log y = n log x + log a

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16
Q

log y = n log x + log a

A

Log form of y=ax^n

17
Q

Log form of y=ab^x

A

log y = x log b + log a

18
Q

log y = x log b + log a

A

Log form of y=ab^x

19
Q

What are e^lnx and ln(e^x) equivalent to?

A

x

20
Q

x

A

What are e^lnx and ln(e^x) equivalent to?