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Complete solution of x^(3log(10)^(3)x 2/...

Complete solution of `x^(3log_(10)^(3)x 2/3log_(10)^(x)=root(3)(10^(7))` is `{10^(a),10^(b)}` (Where `a lt b`), hten

A

`(a+b)` is a prime number

B

`(a+b)` is an even nuber

C

`(a+b)` is an odd number

D

b is neither prime nor a composite number

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