Chapter 3

Question 1

common log

Answer 1

log or log₁₀

Question 2

natural log

Answer 2

ln or log_e

Question 3

logarithmic form

Answer 3

log_ab = c

Question 4

exponential form

Answer 4

a^c = b

Question 5

exponential graph

Answer 5

inverse (switch x and y)

Question 6

log 1

Answer 6

always 0

Question 7

if the base of log and the number are the same

ex: 7log₃ 3 = 7

Answer 7

they cancel out

Question 8

logab

Answer 8

loga + logb

Question 9

loga + logb

Answer 9

logab

Question 10

loga/b

Answer 10

loga - logb

Question 11

loga - logb

Answer 11

loga/b

Question 12

loga^b

Answer 12

bloga

Question 13

bloga

Answer 13

loga^b

Question 14

log_ab

Note: a, b, # cant equal zero

Answer 14

log_#b/log_#a

Question 15

log_#b/log_#a

Answer 15

log_ab

Note: a, b, and # cant equal 1 and must be positive

Question 16

log_ab

Answer 16

1/log_ba

Note: a and b must be positive and not 1

Question 17

1/log_ba

Note: a and b must be positive and not 1

Answer 17

log_ab

Question 18

Money formula

Answer 18

A_t = P(1 + r/n)^tn

A_t = final amount
P = initial amount
r = rate given in % -> dec
n = compounded/yr (ex monthly -> 12)
t = time (in years)

Question 19

Money formula when compounded continuously

Answer 19

A_t = Pe^rt

A_t = final amount
P = initial amount
r = rate given in % -> dec
t = time (in years)