Lesson 11b - 4.1 and 4.2 - Using Logs to Find x or t (Inverse Function)

Pg. 157: 2,5,20,24,25

Section 4.2 # 2 - Find when population will double if growing at rate of 26% per year.

Section 4.2 # 5 - Find ½ life for Tritium decaying at a rate of 5.471% per year.

Section 4.2 # 20 - Find annual and continuous growth rate

Given: (0, 11000) and (3, 13000)

(a) Annual rate:

Solve for r get:

Annual rate is 5.7264%

(b) Continuous rate:

Solve for k get:

Continuous rate is 5.5685%

(c) Continuous rate is less since the function grows faster

Section 4.2 # 24 - Give an exact solution if there is one for

Take logs of both side

Section 4.2 # 25 - Give an exact solution if there is one for

Take logs of both sides

or

Since log x = y if 10y = x, then