16^{x-3}=3^{-5x}

解答

1 6^{x - 3} = 3^{- 5 x}

x = \frac{12 ln ( 2 )}{ln ( 3888 )}

十进制

x = 1.00630 \dots

求解步骤

1 6^{x - 3} = 3^{- 5 x}

使用指数运算法则

(x - 3) ln (16) = - 5 x ln (3)

解

(x - 3) ln (16) = - 5 x ln (3) : x = \frac{12 ln ( 2 )}{ln ( 3888 )}

x = \frac{12 ln ( 2 )}{ln ( 3888 )}