solvefor x,1331^x=(625)^y

解答

求解

x, 133 1^{x} = (625)^{y}

x = \frac{4 ln ( 5 ) y}{3 ln ( 11 )}

求解步骤

133 1^{x} = (625)^{y}

使用指数运算法则

x ln (1331) = y ln (625)

解

x ln (1331) = y ln (625) : x = \frac{4 ln ( 5 ) y}{3 ln ( 11 )}

x = \frac{4 ln ( 5 ) y}{3 ln ( 11 )}

2^{x} + 2^{x + 2} + 2^{x + 4} = 5370

10000 = 30000 (1 + 0.08)^{n}

1^{x} + 6^{x} + 8^{x} = 9^{x}

2^{x} + 4^{x} = 8^{x}

(\frac{1}{3})^{3 - 2 x} = 243