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Expert: Robi Bhattacharjee - 11/29/2008


Question
hOW TO SOLVE "n" IN equation:
R = 1-(1-C)^n

Tried to raise to power but got "lost"

Answer
Hello e ??

For these kinds of equations, you must be familiar with logarithms. If you aren't, you should learn them before attempting these problems. If you are, then great. So here goes.

Well, R = 1 - (1-C)^n

(1-C)^n = 1 - R

log (1-C)^n = log (1- R)

n * log(1-c) = log(1-R)

n = log(1-R)/log(1-C)


I hope this helped,
Robi

PS: you can find the log button on your calculator.  

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Robi Bhattacharjee

Expertise

I can answer a variety of questions on mathematics. Questions on trigonometry, calculus(preferably single variable), algebra, geometry, and number theory will be answered. I cannot answer questions on abstract branches of mathematics such as group theory. I also cannot answer questions on statistics. In number theory, I can answer questions on congruences, prime numbers, units, functions, and the riemann-zeta function.

Experience

I have studied advanced math my entire life. I started calculus in sixth grade. I have attended numerous math competitions and I am attending math organizations such as the San-Diego math circle. Also, this year I have been invited to the USAMO which is a prestigious math competition (Every year the USAMO invites 500 students from across the USA to participate in this competition. The top 6 go to represent the USA in the International Math Olympiad).

Organizations
I am in the San Diego Math Circle

Education/Credentials
I am entering high school and have received a perfect score and the STAR test 5 times in a row. I also have gotten recognitions in the AMC 10, AIME, Math Counts, and ARML. Additionally, I have won the San Diego Math Olimpiad twice in a row.

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