3 years ago

If 2^x=3^y=12^z, show 1/z=1/y+2/x

Mathematics

1 answer:

weqwewe [10]3 years ago

6 0

Answer:

2=k^1/x

3=k^1/y

12=k^1/z.......we get...

(atq)------k^1/x=k^1/y=k^1/z

(*a^m=b^m......b=a)

~1/x=1/y=1/z

1/z=1/y+1/x×2

(12=3+2×2)

1/z=1/y+2/x.....proved

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