Name: Stephanie Branton Who is asking: Student Level: Secondary
Question: - If P represents the product of all prime numbers less than 1000, what is the value of the unit's digit of P?
- Do any real numbers a and b exist such that:
ln(a+b)=ln a + ln b? if so, what are they?
- Define a function by: f(x)=1/1-x where x is not equal to 0,1. what is f(f(f(a)))?
- Two of the primes less than 1000 are 2 and 5.
- Since ln a + ln b = ln(ab) this question is equivalent to asking:
Do any positive real numbers a and b exist such that: a+b = ab? - Since f(x) = 1/(1-x) it follows that f(f(a)) = 1/(1-f(a)). Substitute f(a) = 1/(1-a) and simplify. Now find f(f(f(a))) = 1/(1-f(f(a))).
Cheers, |