(16+(0.878)/(26))^{3t}=30

解

(16 + \frac{0.878}{26})^{3 t} = 30

t = \frac{ln ( 30 )}{3 ln ( \frac{416.878}{26} )}

十進法表記

t = 0.40859 \dots

解答ステップ

(16 + \frac{0.878}{26})^{3 t} = 30

指数の規則を適用する

3 t ln (16 + \frac{0.878}{26}) = ln (30)

解く

3 t ln (16 + \frac{0.878}{26}) = ln (30) : t = \frac{ln ( 30 )}{3 ln ( \frac{416.878}{26} )}

t = \frac{ln ( 30 )}{3 ln ( \frac{416.878}{26} )}