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受欢迎的代数 >

3^x+3^x=27

解答

3^{x} + 3^{x} = 27

解答

x = \frac{ln ( \frac{27}{2} )}{ln ( 3 )}

+1

十进制

x = 2.36907 \dots

求解步骤

3^{x} + 3^{x} = 27

同类项相加:

3^{x} + 3^{x} = 2 \cdot 3^{x}

2 \cdot 3^{x} = 27

两边除以

2

3^{x} = \frac{27}{2}

使用指数运算法则

x ln (3) = ln (\frac{27}{2})

解

x ln (3) = ln (\frac{27}{2}) : x = \frac{ln ( \frac{27}{2} )}{ln ( 3 )}

x = \frac{ln ( \frac{27}{2} )}{ln ( 3 )}

作图

流行的例子

e^{- x} = 5

ln (e^{x}) = 4

6 4^{- 2 x + 3} = 1

(2^{4})^{2} = 2^{n}

7^{2x}=2(5^{3x+1})

7^{2 x} = 2 (5^{3 x + 1})