(1/2)^{x^2}=3^x

解

(\frac{1}{2})^{x^{2}} = 3^{x}

x = 0, x = - \frac{ln ( 3 )}{ln ( 2 )}

十進法表記

x = 0, x = - 1.58496 \dots

解答ステップ

(\frac{1}{2})^{x^{2}} = 3^{x}

指数の規則を適用する

x^{2} ln (\frac{1}{2}) = x ln (3)

解く

x^{2} ln (\frac{1}{2}) = x ln (3) : x = 0, x = - \frac{ln ( 3 )}{ln ( 2 )}

x = 0, x = - \frac{ln ( 3 )}{ln ( 2 )}