solvefor x,6^{x^2}=28

解

解く

x, 6^{x^{2}} = 28

x = \frac{ln ( 28 )}{ln ( 6 )}, x = - \frac{ln ( 28 )}{ln ( 6 )}

十進法表記

x = 1.36372 \dots, x = - 1.36372 \dots

解答ステップ

6^{x^{2}} = 28

指数の規則を適用する

x^{2} ln (6) = ln (28)

解く

x^{2} ln (6) = ln (28) : x = \frac{ln ( 28 )}{ln ( 6 )}, x = - \frac{ln ( 28 )}{ln ( 6 )}

x = \frac{ln ( 28 )}{ln ( 6 )}, x = - \frac{ln ( 28 )}{ln ( 6 )}