Help please The formula t=[In A- In (A-N)] 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%3Dlearning style.a. Express the formula so that the expression in brackets is written as a single logarithm.b. Use the form of the formula from part a to answer this question. An animal learning sign language can master a maximum of 70 signs. How many weeks will it take the animal to master 45 signs if the constant c for that animal is 0.04?a. Express the formula in the brackets as a single logarithm. Choose the correct answer below.O A.InA-NO B. t=- In (A- (A- N)IO C. t=InO D. t=- In [A(A – N)]b. It will take the animal(Round up to the nearest week.)weeks to master 45 of 70 signs with c 0.04.

Given: The formula t=1clnA-lnA-N 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 t=1clnA-lnA-N with a single logarithm term as shown below. t=1clnA-lnA-N=1clnAA-N Since lna-lnb=lnab Hence, the correct option is A. t=1clnAA-Nb) From part a), we have t=1clnAA-N. Using the above formula, find the number of weeks taken to master a animal 45 signs if it can master a maximum of 70 signs and constant c for that animal is 0.04 as follows. Substitute, A=70, N=45 and c=0.04 in the formula t=1clnAA-N and solve for t as shown below. t=10.04ln7070-45=10.04ln7025=25.7404855≈26 Therefore, it will take the animal 26 weeks to master 45 of 70 signs with c=0.04.