If `(log a)/(q-r)=(log b)/(r-p)=(log c)/(p-q)` prove that `a^(p)b^(q)c^(r)=1`

If (log x)/(q-r)=(log y)/(r-p)=(log z)/(p-q) prove that x^(q+r)*y^(r+p)*z^(p+q)=x^(p)*y^(q).z^(r)

log_(10) a^(p).b^(q).c^( r) =?

If a=xy^(p-1),b=xy^(q-1) and c=xy^(r-1) prove that a^(q-r)b^(r-p)c^(p-q)=1

If a=xy^(p-1),b=xy^(q-1) and c=xy^(r-1) prove that a^(q-r)b^(r-p)c^(p-q)=1

log_(a)((P)/(Q))=log_(a)P-log_(a)Q

If a, b, c be the pth, qth and rth terms of a G.P., then (q-r) log a+ (r- p)log b+ (p-q) log c is equal to (A) 0 (B) abc (C) ap+bq+cr (D) none of these

(2) If a=x^(q+r)*y^(p) , b=x^(r+p)*y^(q) , c=x^(p+q)y^(r) , show that a^(q-r)b^(r-p)c^(p-q)=1

If p^(th),q^(th),r^(th) terms of a G.P. are the positive numbers a,b,c then angle between the vectorslog log a^(3)bar(i)+log b^(3)bar(j)+log c^(3)nbar(k) and (q-r)bar(i)+(r-p)bar(j)+(p-q)bar(k) is