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受欢迎的代数 >

6^{3x+1}=2^{2x-3}

解答

6^{3 x + 1} = 2^{2 x - 3}

解答

x = - \frac{ln ( 48 )}{ln ( 54 )}

+1

十进制

x = - 0.97047 \dots

求解步骤

6^{3 x + 1} = 2^{2 x - 3}

使用指数运算法则

(3 x + 1) ln (6) = (2 x - 3) ln (2)

解

(3 x + 1) ln (6) = (2 x - 3) ln (2) : x = - \frac{ln ( 48 )}{ln ( 54 )}

x = - \frac{ln ( 48 )}{ln ( 54 )}

作图

流行的例子

10 0^{x} = 1

3^{(x - 4)} = 7

(\frac{1}{4})^{x + 1} = 32

3^{x} = 24

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\frac{4 ^{6}}{4 ^{x}} = 4^{0}