3^{5x+2}=21

解

3^{5 x + 2} = 21

x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}

十進法表記

x = 0.15424 \dots

解答ステップ

3^{5 x + 2} = 21

指数の規則を適用する

(5 x + 2) ln (3) = ln (21)

解く

(5 x + 2) ln (3) = ln (21) : x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}

x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}