The formula below describes the time,
t, in weeks, that it takes to achieve mastery of a portion of a task, where
A is the maximum learning possible,
N is the portion of the learning that is to be achieved, and
c is a constant used to measure an individual's learning style.
(a) Express the formula as a single logarithm.
t =
Enter a mathematical expression.
1
(b) The formula is also used to determine how long it will take chimpanzees and apes to master a task. For example, a typical chimpanzee learning sign language can master a maximum of
55 signs. Use the form of the formula from part (a) to answer this question: How many weeks will it take a chimpanzee to master
30 signs if
c for that chimp is
0.02?
Enter a number.
2 weeks