PRE CALCULUS Exponential and Logarithmic Functions 3

Question 1

Solve for x: 2^x = 64

Accepted Answer

x = 6

Answer

x = 5

Answer

x = 7

Answer

x = 8

Question 2

Solve for x: log_3(x) = 4

Accepted Answer

x = 81

Answer

x = 12

Answer

x = 64

Answer

x = 256

Question 3

A population doubles every 10 years. If the initial population is 5,000, what is the population after 30 years?

Accepted Answer

40,000

Answer

10,000

Answer

15,000

Answer

20,000

Question 4

Solve for x: ln(x) + ln(x − 2) = ln(8)

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 3

Answer

x = −2

Question 5

What is the inverse function of f(x) = e^(x−1)?

Accepted Answer

f⁻¹(x) = ln(x) + 1

Answer

f⁻¹(x) = ln(x + 1)

Answer

f⁻¹(x) = ln(x) − 1

Answer

f⁻¹(x) = e^(x+1)

Question 6

Which equation represents continuous exponential growth with rate r and initial value P₀?

Accepted Answer

P(t) = P₀·e^(rt)

Answer

P(t) = P₀·(1 + r)^t

Answer

P(t) = P₀ + r·t

Answer

P(t) = P₀·r^t

Question 7

If log_b(5) = 0.7 and log_b(2) = 0.3, what is log_b(50)?

Accepted Answer

1.3

Answer

0.21

Answer

2.1

Answer

1.0