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y=1+log2x

implies

-1=log2x

which can be solved by raising both sides as an exponent of 2 (since the logarithm is base 2).

2-1=2log2x

This finally implies:

1/2=x

For explanations of why this is:

Anything to a negative exponent simply equals that thing to the positive of that exponent under 1

5-1=1/51=1/5

x-2=1/x2

2-3=1/23=1/8

and so 2-1=1/2

Any number raised to a logarithm of the same base as itself will equal the number inside the logarithm.

5log520=20

xlogx2y=2y

eln 7=7

and so 2log2x=x

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