solvefor t,45x1.071^t=122

解

解く

t, 45 x 1.07 1^{t} = 122

t = \frac{ln ( \frac{122}{45 x} )}{ln ( 1.071 )}

解答ステップ

45 x \cdot 1.07 1^{t} = 122

以下で両辺を割る

45 x

1.07 1^{t} = \frac{122}{45 x}

指数の規則を適用する

t ln (1.071) = ln (\frac{122}{45 x})

解く

t ln (1.071) = ln (\frac{122}{45 x}) : t = \frac{ln ( \frac{122}{45 x} )}{ln ( 1.071 )}

t = \frac{ln ( \frac{122}{45 x} )}{ln ( 1.071 )}