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人気のある代数 >

ln(D(t))=ln(50)+tln(0.9)

解

ln (D (t)) = ln (50) + t ln (0.9)

解

t = - \frac{W ( - \frac{50 l n ( 0.9 )}{D} )}{ln ( 0.9 )}

解答ステップ

ln (D (t)) = ln (50) + t ln (0.9)

f (x) = g (x)

ならば,

a^{f (x)} = a^{g (x)}

e^{l n (D t)} = e^{l n (50) + t l n (0.9)}

簡素化

e^{l n (D t)} : D t

簡素化

e^{l n (50) + t l n (0.9)} : 50 \cdot 0. 9^{t}

D t = 50 \cdot 0. 9^{t}

解く

D t = 50 \cdot 0. 9^{t} : t = - \frac{W ( - \frac{50 l n ( 0.9 )}{D} )}{ln ( 0.9 )}

t = - \frac{W ( - \frac{50 l n ( 0.9 )}{D} )}{ln ( 0.9 )}

解を検算する:

t = - \frac{W ( - \frac{50 l n ( 0.9 )}{D} )}{ln ( 0.9 )}

真

解は

t = - \frac{W ( - \frac{50 l n ( 0.9 )}{D} )}{ln ( 0.9 )}

グラフ

人気の例

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