Unit 4 4b Pre Calc

Question 1

If B^x =B^y then

Answer 1

x = y

Question 2

(x^a)^b =

Answer 2

X^ab

Question 3

1/x =

Answer 3

x ^ -1

Question 4

X^a x^b =

Answer 4

x^a+b

Question 5

If you don’t have a common base what do you do?

Answer 5

make a common base
ex. 1/64 = 4^a-4 -> 4^3 = 4^a-4 then keep solving with the exponents equaling each other

Question 6

If log subscript b x = lob subscript b y then

Answer 6

x = y

Question 7

if log 10 + log 2 then it equals

Answer 7

log 20

Question 8

a. log subscript b 1 =
b. log subscript b b =

Answer 8

a. 0
b. 1

Question 9

log subscript b (m times n) =

Answer 9

log subscript b m + log subscript b n

Question 10

log subscript b (m/n) =

Answer 10

lob subscript b m - log subscript b n

Question 11

Exponential Growth and Decay function

Answer 11

Growth: a = p(1 +r) ^t
Decay: a = p (1-r)^t

Question 12

Continuous Growth and Decay function

Answer 12

Growth: A = Pe ^rt
Decay: A = Pe^-rt

Question 13

Compound interest function

Answer 13

A = P(1+r/n) ^nt

Question 14

different n numbers for compound interest functions
a. weekly
b. biannual
c. bimonthly
d. quarterly
e. daily

Answer 14

a. 52
b. 2
c. 24
d. 4
e. 365