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Geometric Progression

If ax = b, ...

Question

If $a^{x} = b, b^{y} = c, c^{z} = a$ , then the value of $x y z$ is

A

0

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B

1

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C

\frac{1}{c b c}

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D

abc

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Solution

The correct option is B $1$
Given, $b = a^{x} = (c^{z})^{x} = ((b^{y})^{z})^{x} = b^{x y z}$
$∴ x y z = 1$

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Similar questions

a^{x} = b, b^{y} = c, c^{z} = a,

, then the value of

x y z

a^{x} = b, b^{y} = c, c^{z} = a

x y z = 1

a^{x} = \sqrt{b}, b^{y} = \sqrt[3]{c}

c^{z} = \sqrt{a}

then the value of

x y z

x = b y + c z + d u, y = c z + a x + d u, z = a x + b y + d u, u = a x + b y + c z .

Then the value of the expression.

\frac{a}{1 + a} + \frac{b}{1 + b} + \frac{c}{1 + c} + \frac{d}{1 + d}

a^{x} = b, b^{y} = c, c^{z} = a

x y z = ?

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