Exponential and Logarithm Properties Flashcards

1
Q

loga(xy)

A

logax + logay

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2
Q

loga(x)r

A

r*logax

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3
Q

loga(x/y)

A

logax - logay

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4
Q

EX.

ln(1/e)

A

= ln(e-1)

= -ln(e1)

= -1

OR

= ln(1) - ln(e)

= 0 - 1

= -1

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5
Q

loga(ax)

log10(104)

A

x

4

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6
Q

loga1

A

1

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7
Q

logaa

A

1

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8
Q

y = logax

A

ay = x

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9
Q

Base Change Formula:

logax

A

lnx/lna

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10
Q

ax * ay

A

ax+y

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11
Q

(ax/ay)

A

ax-y

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12
Q

(ab)x

A

axbx

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