# A Frog in a Bog on a Log...

**Algebra**Level 3

Determine the sum of all real solutions \((x)\) to the following equation:

\[\log{4}+\bigg(\dfrac{2x+1}{2x}\bigg) \log{3} = \log{(\sqrt[x]{3}+27})\]

Determine the sum of all real solutions \((x)\) to the following equation:

\[\log{4}+\bigg(\dfrac{2x+1}{2x}\bigg) \log{3} = \log{(\sqrt[x]{3}+27})\]

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