How to do logarithms (with weird numbers) without a calculator? – math.stackexchange.com

I was asked to find $x$ when: $$\log_{9}\left(\frac{1}{\sqrt3}\right) =x$$ Step two may resemble: $${3}^2x=\frac{1}{\sqrt3}$$ I was not allowed a calculator and was told that it was possible. I put ...

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