Simplifying ln and e^x Flashcards

(10 cards)

1
Q

Simplify ln(a) = b

A

e^b = a

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2
Q

Simplify e^(x + b)

A

e^x * e^b
(Exponent rule)

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3
Q

ln(x) + ln(y) = ln(c)

A

x + y = c
(Cancel ln)

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4
Q

Simplify ln(a) * ln(b)

A

ln(a + b)

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5
Q

Simplify ln(a) - ln(b)

A

ln(a ÷ b)

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6
Q

Simplify log a (b) = c

A

a^c = b

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7
Q

Simplify e^ln(a)

A

a

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8
Q

Simplify ln(a) = b

A

a = e^b

Because
ln(a) = b
⬇️
e^ln(a) = e^b
⬇️
a = e^b

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9
Q

Simplify log e (e)

A

ln
(ln is the natural log)

PS don’t worry this isn’t too important to understand

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10
Q

Simplify a^log a (b)

A

b

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