Home
Class 12
MATHS
Let g : N ->N with g(n) being the produc...

Let `g : N ->N` with `g(n)` being the product of the digits of n.(a) Prove that `g(n)<= n` for all `n in N`.(b) Find all `n in N`, for which `n^2-12n + 36 = g(n)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If the first and the nth term of a G.P. are a and b, respectively, and if P is the product of n terms , prove that P^(2)=(ab)^(n) .

If the first and the nth term of a G.P. are a and b, respectively, and if P is the product of n terms , prove that P^(2)=(ab)^(n) .

If the first and the n^( th) term of a . G . P are a and b , respectively, and if P is the product of n terms, prove that P^2=(a b)^n .

If g is the inverse of f and f'(x)=(1)/(1+x^(n)) prove that g'(x)=1+(g(x))^(n)

If the first and the nth term of a G.P. are a and b. respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .