If a^(x)=b,b^(y)=c,c^(z)=a show that ...

If `a^(x)=b,b^(y)=c,c^(z)=a`
show that xyz =1 (a,b,c positive numbers)

LAWS OF INDICES
CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos
LAWS OF INDICES
CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|14 Videos
INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY
CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos
LIMIT
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If a^x=b, b^y=c,c^z=a then the value of xyz is

If a^x=b,b^y =c,c^z=a , find the value of xyz.

If a, b, c are in G.P. and a^(1//x) = b^(1//y) = c^(1//z) , show that x, y, z are in A.P.

If a, b, c are in G.P. and a^(1/x) =b^(1/y)=c^(1/z) , prove that x, y , x are in A.P

If a^(x) = b^(y) = c^(z) and a, b, c, are in G.P., prove that x, y, z are in H.P.

If a^(x)=b^(y)=c^(z) and b^(2)=ac prove that (1)/(x)+(1)/(z)=(2)/(y)

If (y/z)^a.(z/x)^b.(x/y)^c=1 and a,b,c are in A.P ,show that x,y,z are in G.P.

If a^2+b^2+c^2=x^2+y^2+z^2=1, then show that a x+b y+c z leq1.

If x^(1/a)=y^(1/b)=z^(1/c)" and "xyz = 1 , then show that a+b+c=0 .

If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by+cz).