Question

If \(\Large{a^x=b^y=c^z}\) then \(\Large{b^z=ac}\) then \(y=?\)

Answer 1

ehh... oh jees this isn't that fun. logs ;)

Answer 2

Are u saying this to me @RONNCC ??

Answer 3

\[Ans. \frac{2xz}{x+z}\]

Answer 4

Take

a^x=b^y=c^z = k

Answer 5

ok

Answer 6

@jiteshmeghwal9 is it b^2 = ac or b^z = ac

Answer 7

b^z=ac

Answer 8

b^y = c^z
b=c^(z/y)
Now,
b^z =ac
(c^(z/y))^z =ac
c^(z^2/y) =ac
c^(z^2/y -1)=a
c^(z^2/y -1) = c^(z/x)
z^2/y -1 = z/x
y=(xz^2)/(x+z)

Answer 9

Yup..thats wat i got

Answer 10

@jiteshmeghwal9 it shuld be b^2 = ac

Answer 11

then a , b c are in G.P

Answer 12

u mean geometric progression

Answer 13

thanx i gt it :)

Answer 14

(k^1/y)^2 = k^(z+x)/xz


2/ y = (z+x) / xz


y = 2xz / x+z

Answer 15

thanx both of u @Yahoo! @sauravshakya :)

Answer 16

Yup..Probably the question is Wrong

Answer 17

Welcome...:)