math 2: expoential and logarithmic functions Flashcards

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1
Q

exponential functions:

A

y=a^x a> 0, a ≠ 1

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2
Q

logarithm: inverse of exponential function→

A

y= logaX

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3
Q

xᵃ · xᵇ =

A

xᵃ + ᵇ

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4
Q

x⁰=

A

1

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5
Q

xᵃ/xᵇ =

A

xᵃ - ᵇ

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6
Q

x-ᵃ =

A

1/xᵃ

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7
Q

(xᵃ)ᵇ=

A

xᵃᵇ

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8
Q

xᵃ · yᵃ =

A

(xy)ᵃ

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9
Q

ᶫᵒᵍb⁽ᵖ · ᑫ⁾ =

A

ᶫᵒᵍbᵖ + ᶫᵒᵍbᑫ

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10
Q

ᶫᵒᵍb¹ =

A

0

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11
Q

bᶫᵒᵍᵇᴾ =

A

p

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12
Q

ᶫᵒᵍb⁽ᵖ/ᑫ⁾ =

A

ᶫᵒᵍbᵖ - ᶫᵒᵍbᑫ

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13
Q

ᶫᵒᵍbᵇ =

A

1

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14
Q

ᶫᵒᵍb⁽ᵖ^x⁾ =

A

x · ᶫᵒᵍbᵖ

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15
Q

ᶫᵒᵍbᵖ=

A

ᶫᵒᵍaᵖ/ ᶫᵒᵍaᵇ

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16
Q

log has a base of

A

10

17
Q

natural logarithm (ln) has a base of

A

e