solvefor x,-2ln(x)=ln(u)

解答

求解

x, - 2 ln (x) = ln (u)

x = e^{- \frac{l n ( u )}{2}} {u = \frac{1}{e ^{\frac{4}{3}}}}

求解步骤

- 2 ln (x) = ln (u)

两边除以

- 2

ln (x) = - \frac{ln ( u )}{2}

使用对数运算法则

x = e^{- \frac{l n ( u )}{2}}

验证解:

x = e^{- \frac{l n ( u )}{2}} {u = \frac{1}{e ^{\frac{4}{3}}}}

解是

x = e^{- \frac{l n ( u )}{2}} {u = \frac{1}{e ^{\frac{4}{3}}}}

2 lo g_{10} (x) = lo g_{10} (5 x - 6)

ln (x - 1) - ln (6 - x) = 0

lo g_{6} (25) = 2 lo g_{6} (x)

ln ((x - 2) (x - \frac{1}{2})) = 0

lo g_{2} (x - 5) + lo g_{2} (x + 5) = 5