Algebra 3
Lesson 15.1, Part D: Evaluating a Logarithmic Model
I can find the inverse of an exponential function 𝑓 𝑥 = 𝑏 ! where 𝑏 > 0 and 𝑏 ≠ 1
and determine the value of 𝑓 !! 𝑏 ! for and real number m.
Common Core Content Standards: F.IF.B.5(+), F.IF.C.7, F.IF.C.7e, F.IF.A.2, MP.2
Vocabulary: None
Examples: Work through ALL examples and write down the following items.
Example 1: Lactobacillus acidophilus is one of the bacteria used to turn milk into
yogurt. The population P of a colony of 3000 bacteria after x minutes
!
can be modeled by the function 𝑃 𝑥 = 3000 2!" . How long will it take
for the population to reach 768,000? Show all work!
Example 2: Math on the Spot Video: Find the pH of rainwater for Central
California and Eastern Texas. Show all work!
Example 3: Complete two Your Turn problems correctly.