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受欢迎的代数 >

3^{5x+8}=7^{2x-4}

解答

3^{5 x + 8} = 7^{2 x - 4}

解答

x = \frac{- 4 ln ( 7 ) - 8 ln ( 3 )}{5 ln ( 3 ) - 2 ln ( 7 )}

+1

十进制

x = - 10.34980 \dots

求解步骤

3^{5 x + 8} = 7^{2 x - 4}

使用指数运算法则

(5 x + 8) ln (3) = (2 x - 4) ln (7)

解

(5 x + 8) ln (3) = (2 x - 4) ln (7) : x = \frac{- 4 ln ( 7 ) - 8 ln ( 3 )}{5 ln ( 3 ) - 2 ln ( 7 )}

x = \frac{- 4 ln ( 7 ) - 8 ln ( 3 )}{5 ln ( 3 ) - 2 ln ( 7 )}

作图

流行的例子

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