(1000)1.05^{3x}=3000

解答

(1000) 1.0 5^{3 x} = 3000

x = \frac{ln ( 3 )}{3 ln ( 1.05 )}

十进制

x = 7.50569 \dots

求解步骤

(1000) \cdot 1.0 5^{3 x} = 3000

两边除以

1000

1.0 5^{3 x} = 3

使用指数运算法则

3 x ln (1.05) = ln (3)

解

3 x ln (1.05) = ln (3) : x = \frac{ln ( 3 )}{3 ln ( 1.05 )}

x = \frac{ln ( 3 )}{3 ln ( 1.05 )}

4 9^{x} = 21

320000 = 250342 e^{0.012 x}

3^{5 x + 34} = 81

0 = \frac{4 e ^{x}}{( 4 + e ^{x} ) ^{2}}

6^{a} \cdot 2^{b} = 3^{x}, 2^{a + b}