Question

For x∈N, x>1, and p=logx(x+1), q=logx+1(x+2) then which one of the following is correct?
A) p < q B) p = q C) p > q D) can't be determined

Answer 1

Answer:

B) p=q

Step-by-step explanation:

Given, x belongs to N and x>1

So,

for P:

x(x+1)>0

=>x>0 or x<-1

since it is given that, x>1, hence we have, x>1 ...(i)

for Q:

(x+1)(x+2)>0

=>x<-2 or x>-1

Since it is given that, x>1 hence we have x>1 ....(ii)

From (i) and (ii),

we conclude that p=q