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3^{x-1}=2

解答

3^{x - 1} = 2

解答

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

+1

求解步骤

3^{x - 1} = 2

使用指数运算法则

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

解

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

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

流行的例子

3 = 4^{x}

2 e^{x} + 3 e^{- x} = 7

8^{x} = \frac{1}{2}

8 1^{x} = 243

3^{x + 1} = 4