Simplifying ln and e^x Flashcards
(10 cards)
1
Q
Simplify ln(a) = b
A
e^b = a
2
Q
Simplify e^(x + b)
A
e^x * e^b
(Exponent rule)
3
Q
ln(x) + ln(y) = ln(c)
A
x + y = c
(Cancel ln)
4
Q
Simplify ln(a) * ln(b)
A
ln(a + b)
5
Q
Simplify ln(a) - ln(b)
A
ln(a ÷ b)
6
Q
Simplify log a (b) = c
A
a^c = b
7
Q
Simplify e^ln(a)
A
a
8
Q
Simplify ln(a) = b
A
a = e^b
Because
ln(a) = b
⬇️
e^ln(a) = e^b
⬇️
a = e^b
9
Q
Simplify log e (e)
A
ln
(ln is the natural log)
PS don’t worry this isn’t too important to understand
10
Q
Simplify a^log a (b)
A
b