Chapter 7

Question 1

What is the general form of an exponential function?

Answer 1

y = ab²

Question 2

What is the compounded interest formula?

Answer 2

y = Pe^rt

Question 3

What is the meaning of P, r, and t in the compound interest formula?

Answer 3

P = principal(start amount), r =annual interest rate, t = time in years

Question 4

How do you turn an exponential function into a logarithm.

Answer 4

x = b^y > log_bx = y

Question 5

What are the three Properties of Logs?

Answer 5

log_bmn = log_bm + log_bn

log_bm/n = log_bm - log_bn

log_bmⁿ = n log_bm

Question 6

How do you turn an exponential equation into a logarithmic equation?

Answer 6

a^bx​ = c > bx log a = log c > x = (log c) / (b log a)

Question 7

How is log similar to natural log?

Answer 7

log_e = ln