Math, asked by sakshirathi, 1 year ago

if 2 power x is equal to 5 power Y is equal to 10 power Z then prove that one upon X + 1 upon Y is equal to one upon Z​

Answers

Answered by rishu6845
27

Answer:

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Answered by shanvi1704
3

Answer:1/x+1/y=1/z

PROVED

Step-by-step explanation:

if 2^x=5^y=10^z

then let,2^x=5^y=10^z=k

now,2^x=k

       2=k^1/x

And, 5^y=k

      5=k^1/y

Also, 10^z=k

         10=k^1/z

So,  2*5=k^1/z

     k^1/x*k^1/y=k^1/z

    k^1/x+1/y=k^1/z

Hence, 1/x+1/y=1/z

     proved...

I hope it will help u all.....

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