Chapter 7- Exponentials and Logarithms (Pure Maths) Flashcards
1
Q
what does y=a^x look like?
A
y=a^x for a more than 1
the bigger a is the quicker it increases
2
Q
what does loga b = c in index notation?
A
loga b = c means aᵓ=b
3
Q
what does a^logax= ?
A
a^logax = x
4
Q
what does e^lnx = ?
A
e^lnx= x
5
Q
what does loga(a^x) = ?
A
loga(a^x) = x
6
Q
what does ln (e^x) = ?
A
ln (e^x) = x
7
Q
what does ‘logaX + logaY= ?’
A
logaX + logaY= loga(XY)
8
Q
what does logaX - logaY = ?
A
logaX - logaY = loga(X/Y)
9
Q
What does loga X^k = ?
A
loga X^k = k logaX
10
Q
how to change the base of a log equation?
A
log A X= (logbX) / (logbA)
or the same for ln
11
Q
how to convert Y=aXⁿ into linear form?
A
Y=aXⁿ
log Y= log aXⁿ
log Y = log a + log Xⁿ
log Y= nlogX + log a
