Question

If a^x = b , b^y= c , c ^z = a , prove that xyz = 1
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Answer 1

Answer:

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Answer 2

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Gotta do it

easy sum

Easy Peasy Lemon Squeeze

${a}^{x} = b \\ {b}^{y} = c \\ {c}^{z} = a$

Simply take any one equation

and evaluate the value ( This is explaination)

$i \: am \: taking \\ third \: equation$

${c}^{z} = a \\ {b}^{yz} = a$

${b}^{y} = c \\ so \: in \: place \\ of \: {c}^{z} \\ i \: have \: put \\ {b}^{yz}$

${b}^{yz} = a$

${a}^{xyz} = a \\ {a}^{x} = b \\ so \: i \: have \: evaluated \\ {a}^{x} \: in \: place \\ of \: b$

$no \\ {a}^{xyz} = a$

When the base of an exponent is equally on both sides the power is also equal

Hence-:

${a}^{xyz} = a \\ xyz = 1 \\ hence \: proved$

Hope it Helps

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