8. Exponential and Logarithmic Functions

Question 1

x^a • x^b =

Answer 1

x^a+b

Question 2

x^a / x^b =

Answer 2

x^a–b

Question 3

(x^a)^b =

Answer 3

x^ab

Question 4

x⁰ =

Answer 4

1

Question 5

x^-a

Answer 5

1 / x^a

Question 6

Log_b N = x if and only if…

Answer 6

b^x = N

Question 7

log_b (p•q) =

Answer 7

log_b p + log_b q

Question 8

log_b (p/q) =

Answer 8

log_b p – log_b q

Question 9

log_b (p^x) =

Answer 9

x•log_b p

Question 10

log_b 1 =

Answer 10

0

Question 11

log_b b =

Answer 11

1

Question 12

b^{log_b p} =

Answer 12

p

Question 13

log_b p =

(Change-of-Base Formula)

Answer 13

log_a p / log_a b