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受欢迎的代数 >

10*3^{x+3}=60

解答

10 \cdot 3^{x + 3} = 60

解答

x = \frac{ln ( 6 )}{ln ( 3 )} - 3

+1

十进制

x = - 1.36907 \dots

求解步骤

10 \cdot 3^{x + 3} = 60

两边除以

10

3^{x + 3} = 6

使用指数运算法则

(x + 3) ln (3) = ln (6)

解

(x + 3) ln (3) = ln (6) : x = \frac{ln ( 6 )}{ln ( 3 )} - 3

x = \frac{ln ( 6 )}{ln ( 3 )} - 3

作图

流行的例子

3^{x} = 64

2^{x - 3} = 8

2^{3x+2}-2^{3x-2}=30

2^{3 x + 2} - 2^{3 x - 2} = 30

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

3^{x+2}+3^{x+1}+3^x+3^{x-1}=120

3^{x + 2} + 3^{x + 1} + 3^{x} + 3^{x - 1} = 120