If {a^x} = b,{b^y} = c,{c^z} = a, then value | vedclass

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Question

(b) ${a^x} = b \Rightarrow $ $x\log a = \log b$

==> $x = {{\log b} \over {\log a}} = {\log _a}b$

Similarly $y = {\log _b}c,\,z = {\log _c}a$

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(b) ${a^x} = b \Rightarrow $ $x\log a = \log b$

==> $x = {{\log b} \over {\log a}} = {\log _a}b$

Similarly $y = {\log _b}c,\,z = {\log _c}a$

$	herefore xyz = {\log _a}b.{\log _b}c.{\log _c}a = 1$.

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

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