Math, asked by riya8190, 1 year ago

If 2^x =3^y=12^z, prove that x =2yz/y-z

Answers

Answered by AJAYMAHICH
28
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Let 2^x=3^y=12^z=r

Then

2=r^ 1/x,
3=r^1/y
and 12=r^1/z

Since 12=2^2⋅3,

r^1/z=r^2/x⋅r^1/y,

or

2/x=1/z−1/y = (y−z)/yz

Thus x=2yz / (y−z)
Answered by kajalsneha2823
3

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