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受欢迎的代数 >

3^x-1+3^x-2+3^x-3=13

解答

3^{x} - 1 + 3^{x} - 2 + 3^{x} - 3 = 13

解答

x = \frac{ln ( \frac{19}{3} )}{ln ( 3 )}

+1

十进制

x = 1.68014 \dots

求解步骤

3^{x} - 1 + 3^{x} - 2 + 3^{x} - 3 = 13

对同类项分组

3^{x} + 3^{x} + 3^{x} - 1 - 2 - 3 = 13

同类项相加:

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

3 \cdot 3^{x} - 1 - 2 - 3 = 13

数字相减:

- 1 - 2 - 3 = - 6

3 \cdot 3^{x} - 6 = 13

将

6

到右边

3 \cdot 3^{x} = 19

两边除以

3

3^{x} = \frac{19}{3}

使用指数运算法则

x ln (3) = ln (\frac{19}{3})

解

x ln (3) = ln (\frac{19}{3}) : x = \frac{ln ( \frac{19}{3} )}{ln ( 3 )}

x = \frac{ln ( \frac{19}{3} )}{ln ( 3 )}

作图

流行的例子

e^{x^{2} - 3 x} = 0

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

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

4^{x} + 1 + 4^{x} = 24

3^{x+2}-3^{x-2}=2160

3^{x + 2} - 3^{x - 2} = 2160

((10^4))/((18.7+20.2e^{-0.04t))}=439000

\frac{( 1 0 ^{4} )}{( 18.7 + 20.2 e ^{- 0.04 t} )} = 439000