If x-log b a- y-log c b- z-log a c- then x y z isA- 0B- 1C- 3D- None of these

The correct option is B 1We have xyz = log_b a × log_c b × log_a c = log_e/log_e b×log_e b/log_e c×log_e c/log_e a = 1. ...

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Representation of Logarithmic Function

If x=log b a,...

Question

If $x = l o g_{b} a, y = l o g_{c} b, z = l o g_{a} c$ , then xyz is

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None of these

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Similar questions

x = l o g_{b} a, y = l o g_{c} b, z = l o g_{a} c

l o g_{c} b + l o g_{b} c

y = l o g_{a} c + l o g_{c} a,

z = l o g_{b} a + l o g_{a} b

x y z = x^{2} + y^{2} + z^{2} - 4.

\frac{1}{1 + {log}_{b} a + {log}_{b} c} + \frac{1}{1 + {log}_{c} a + {log}_{c} b} + \frac{1}{1 + {log}_{a} b + {log}_{a} c}

s i n^{- 1} x + s i n^{- 1} y + s i n^{- 1} z = \frac{π}{2}, t h e n x^{2} + y^{2} + z^{2} + 2 x y z =

{log}_{b} a + {log}_{c} a + {log}_{a} b + {log}_{a} c + {log}_{b} c + {log}_{c} b = 3

a, b, c

\neq 1

a b c

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