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受欢迎的代数 >

3^{2x-3}=(27^{x+1})/2

解答

3^{2 x - 3} = \frac{2 7 ^{x + 1}}{2}

解答

x = - \frac{6 ln ( 3 ) - ln ( 2 )}{ln ( 3 )}

+1

十进制

x = - 5.36907 \dots

求解步骤

3^{2 x - 3} = \frac{2 7 ^{x + 1}}{2}

在两边乘以

2

3^{2 x - 3} \cdot 2 = \frac{2 7 ^{x + 1}}{2} \cdot 2

化简

3^{2 x - 3} \cdot 2 = 2 7^{x + 1}

使用指数运算法则

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

解

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

x = - \frac{6 ln ( 3 ) - ln ( 2 )}{ln ( 3 )}

作图

流行的例子

e^{-4x}-4xe^{-4x}=0

e^{- 4 x} - 4 x e^{- 4 x} = 0

1 0^{a} = 92

2*5^{x+1}+5^{x-1}=51

2 \cdot 5^{x + 1} + 5^{x - 1} = 51

(\frac{1}{2})^{x + 1} = 8

solvefor x,r-4s+4t=e^{2x+y}

so l v e f or x, r - 4 s + 4 t = e^{2 x + y}