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Relevant wiki: Properties of Logarithms - Basic
We can rewrite the left hand side as
lo g x lo g ( 1 0 6 ) = 6
We can rearrange the terms to make lo g x the subject of the formula.
lo g x = 6 1 × lo g ( 1 0 6 )
Using properties of logarithms , we get lo g x = lo g 1 0 , therefore x = 1 0 . □