ch6/7: exp+log Flashcards
1
Q
why cant u evaluate log of 0 and of negatives
A
bc no exponent can be applied to ten that would make it = 0 or = negative number
2
Q
whts the inverse of an exponential function
A
- a logarithmic function
- reflected along y=x
3
Q
what do horizontal shifts effect
A
vertical asymptotes
4
Q
how do u graph log functions
A
- find VA
- do mapping notations
- plot VA and pts
- say D and R
5
Q
in order to use laws of logs….
A
bases must be the same
6
Q
diff in asymptotes of exponential vs logarithmic
A
- exponential: HA
- logarithmic: VA
7
Q
power law
A
move n exponent to front of log
8
Q
product law
A
adding logs to log(multiply)
9
Q
quotient law
A
subtracting exponents to log(divide)
10
Q
if u have the same base and x value on y=logbx
A
whole thing except exponent on x cancels out
11
Q
what must be done before applying product and quotient law?
A
any coefficients must be brought into exponent using power law
