$108^{$3n^{2}$-22n+2 }$ =188

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on Mar 30, 2025 at 7:59 am



You asked:

Solve the equation 1083n2−22n+2=188{108}^{3 {n}^{2} - 22 n + 2} = 188 for the variable nn.

MathBot Answer:

The 2 solutions to the equation are: n=113−3log⁡(188)+115log⁡(108)3log⁡(108)≈0.040294656n=113+3log⁡(188)+115log⁡(108)3log⁡(108)≈7.2930387\begin{aligned}n &= \frac{11}{3} - \frac{\sqrt{3 \log{\left(188 \right)} + 115 \log{\left(108 \right)}}}{3 \sqrt{\log{\left(108 \right)}}} \approx 0.040294656\\n &= \frac{11}{3} + \frac{\sqrt{3 \log{\left(188 \right)} + 115 \log{\left(108 \right)}}}{3 \sqrt{\log{\left(108 \right)}}} \approx 7.2930387\end{aligned}

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