# Just a Simple Logarithm

Algebra Level 3

If $$log_{a} {b} + (log_{a} {b})^2 + (log_{a} {b})^3 + . . . . . . . . = 2$$, and $$n = a^{\frac{2}{3}}$$, then :

$log_{a} {b} + log_{b} {n} = . . . .$

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