2^x=2(5^x)

解

2^{x} = 2 (5^{x})

x = \frac{ln ( 2 )}{ln ( 2 ) - ln ( 5 )}

十進法表記

x = - 0.75647 \dots

解答ステップ

2^{x} = 2 (5^{x})

指数の規則を適用する

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

解く

x ln (2) = ln (2) + x ln (5) : x = \frac{ln ( 2 )}{ln ( 2 ) - ln ( 5 )}

x = \frac{ln ( 2 )}{ln ( 2 ) - ln ( 5 )}