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受欢迎的代数 >

3^{x+1}-10(3^x)=-3

解答

3^{x + 1} - 10 (3^{x}) = - 3

解答

x = \frac{ln ( \frac{3}{7} )}{ln ( 3 )}

+1

十进制

x = - 0.77124 \dots

求解步骤

3^{x + 1} - 10 (3^{x}) = - 3

因式分解

3^{x + 1} - 10 \cdot 3^{x} : - 7 \cdot 3^{x}

- 7 \cdot 3^{x} = - 3

两边除以

- 7

3^{x} = \frac{3}{7}

使用指数运算法则

x ln (3) = ln (\frac{3}{7})

解

x ln (3) = ln (\frac{3}{7}) : x = \frac{ln ( \frac{3}{7} )}{ln ( 3 )}

x = \frac{ln ( \frac{3}{7} )}{ln ( 3 )}

作图

流行的例子

\frac{3}{2} = 1^{x}

5^{x+3}=(((1))/((125)))^x

5^{x + 3} = (\frac{( 1 )}{( 125 )})^{x}

e^{x} \cdot e^{- x} = 1

3^x+3^{-x+3}=12

3^{x} + 3^{- x + 3} = 12

3^{x+1}+3^{4-x}=36

3^{x + 1} + 3^{4 - x} = 36