2(3.1)^x=(6.6)^x

الحلّ

2 (3.1)^{x} = (6.6)^{x}

x = \frac{ln ( 2 )}{ln ( 6.6 ) - ln ( 3.1 )}

خطوات الحلّ

2 (3.1)^{x} = (6.6)^{x}

فعّل قانون القوى

ln (2) + x ln (3.1) = x ln (6.6)

ln (2) + x ln (3.1) = x ln (6.6)

حلّ:

x = \frac{ln ( 2 )}{ln ( 6.6 ) - ln ( 3.1 )}

x = \frac{ln ( 2 )}{ln ( 6.6 ) - ln ( 3.1 )}

m^{x + 1} = \frac{1}{2}

2 5^{4 x + 1} = 5^{x - 5}

97 \cdot 0.9 5^{t} = 35

2 \cdot e^{- 6 x} = 95

5^{x^{2}} \cdot 2 5^{x - 1} = 5^{3 x}