express t = 1/c [In A - In(A - N)] as single log, and

[mrsgigo]

The formula: t = 1/c [In A - In(A - N)]

Describes the time, t, in weeks, that it takes to achieve mastery of apportion of a task, where A is the maximum learning possible, N is the portion of the learning that is to be achieved, and c in a constant used to measure an individual’s learning style.

A. Express the formula so that the expression in brackets is written as a single logarithm.

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 65 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 0.03?

Any help would be greatly appreciated :roll:

 

[tkhunny]

log(a) - log(b) = log(a/b)

This is true of the Natural Logs

ln(a) - ln(b) = ln(a/b)

For the monkey problem, just substitute the values. You have:

A = 65

N = 30

c = 0.03