Math, asked by tirth2251, 7 months ago

if ax=b by=c cz=a then xyz is 1​

Answers

Answered by Kyeole111
0

Step-by-step explanation:

ax=b

x=b/a

by=c

y=c/b

cz=a

z=a/c

xyz=b/a*c/b*a/c =1.

Answered by anindyaadhikari13
8

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Given,

 {a}^{x}  = b

 {b}^{y}  = c

 {c}^{z}  = a

To prove:-

xyz = 1

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Proof:-

 {a}^{x}  = b

Then,

 {b}^{y}  =  {a}^{xy}

Now,

 {b}^{y}  = c

Then,

c =  {a}^{xy} ........(i)

Also,

 {c}^{z}  = a

Then, from equation (i)

 {(a^{xy}) }^{z}  = a

Or,

 {a}^{xyz}  =  {a}^{1}

Comparing base, we get

xyz = 1 \:  \:  \: (proved)

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