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answer for the given problem is given
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Answer:17
Step-by-step explanation:(√2)^n-1/2=2^4=>(√2)^n-1/2={(√2)^2^4
=>(√2)^n-1/2=(√2)^8
When bases are equal we equate powers, so
(n-1)/2=8
=>n-1=8*2
=>n-1=16
=>n=16+1
=>n=17
Therefore n=17
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