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受欢迎的代数 >

2^x+1+2^x+2=48

解答

2^{x} + 1 + 2^{x} + 2 = 48

解答

x = \frac{ln ( \frac{45}{2} )}{ln ( 2 )}

+1

十进制

x = 4.49185 \dots

求解步骤

2^{x} + 1 + 2^{x} + 2 = 48

对同类项分组

2^{x} + 2^{x} + 1 + 2 = 48

同类项相加:

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

2 \cdot 2^{x} + 1 + 2 = 48

数字相加:

1 + 2 = 3

2 \cdot 2^{x} + 3 = 48

将

3

到右边

2 \cdot 2^{x} = 45

两边除以

2

2^{x} = \frac{45}{2}

使用指数运算法则

x ln (2) = ln (\frac{45}{2})

解

x ln (2) = ln (\frac{45}{2}) : x = \frac{ln ( \frac{45}{2} )}{ln ( 2 )}

x = \frac{ln ( \frac{45}{2} )}{ln ( 2 )}

作图

流行的例子

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3^{x + 7} = 9^{x + 1}

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