solvefor x,ln(y)=4ln(x)

解答

求解

x, ln (y) = 4 ln (x)

x = e^{\frac{l n ( y )}{4}} {y > 0}

求解步骤

ln (y) = 4 ln (x)

交换两边

4 ln (x) = ln (y)

两边除以

4

ln (x) = \frac{ln ( y )}{4}

使用对数运算法则

x = e^{\frac{l n ( y )}{4}}

验证解:

x = e^{\frac{l n ( y )}{4}} {y > 0}

解是

x = e^{\frac{l n ( y )}{4}} {y > 0}

0.25 = lo g_{10} (x)

lo g_{3} (x - 4) + lo g_{3} (x + 4) = 2

lo g_{\frac{1}{2}} (x) = - 2

lo g_{10} (2 x) + lo g_{10} (x) = 11

lo g_{4} (- 2 x + 11) = 2