5^{3x-1}=2

解答

5^{3 x - 1} = 2

x = \frac{ln ( 10 )}{3 ln ( 5 )}

十进制

x = 0.47689 \dots

求解步骤

5^{3 x - 1} = 2

使用指数运算法则

(3 x - 1) ln (5) = ln (2)

解

(3 x - 1) ln (5) = ln (2) : x = \frac{ln ( 10 )}{3 ln ( 5 )}

x = \frac{ln ( 10 )}{3 ln ( 5 )}

3^{2 x + 1} + 4 (3^{x}) - 15 = 0

5^{x} = - 25

25 6^{- 5} = 4^{x - 4}

40000 = 30000 \times (1 + 0.04)^{x}

5 (2^{3 - x}) - 13 = 100