Logarithims Flashcards

1
Q

Log(b)y=x

A

b^x=y

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2
Q

Product Property

A

log(x*y)=log(x) +log(y)

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3
Q

Quotient Property

A

log (x/y)= log(x) - log(y)

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4
Q

Power Property

A

log(x^n)= n*log (x)

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5
Q

Change of Base

A

log(b)a=log a/log b

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6
Q

Horizontal Shift

A

Y=log(a)(x+-c)

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7
Q

Vertical Shift

A

Y=+-b+log(a)x

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8
Q

X-axis reflection

A

Y=-log(a)x

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9
Q

Y-Axis Reflection

A

y=log(a)-x

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10
Q

log(10)-2

A

no solution -> 10^?=-2

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11
Q

log(a)1

A

=0 -> a^?=1

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12
Q

log(a)a

A

=1 ->a^?=a

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13
Q

log(a)a^x

A

=x -> a^?=a^x

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14
Q

a^(log(a)x)

A

=x

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