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[tex] X = \frac {10^n-1} {10^n} [/tex]

I got to this so far but I don't know if I'm on the right path or not and I don't know how to continue:

[tex] \log {X} + n = \log {(10^n-1)} [/tex]

2) I have to prove this:

[tex] \frac {1} {\sqrt{4-2\sqrt {3}}} = \frac {\sqrt{3}+1} {2} [/tex]

Don't know how to continue from here:

[tex] \frac {\sqrt{2} \sqrt {2+\sqrt {3}}} {2} [/tex]