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受欢迎的代数 >

ln(12x^2+12)-3=0

解答

ln (12 x^{2} + 12) - 3 = 0

解答

x = \frac{e ^{3} - 12}{2 3}, x = - \frac{e ^{3} - 12}{2 3}

+1

十进制

x = 0.82085 \dots, x = - 0.82085 \dots

求解步骤

ln (12 x^{2} + 12) - 3 = 0

将

3

到右边

ln (12 x^{2} + 12) = 3

使用对数运算法则

12 x^{2} + 12 = e^{3}

解

12 x^{2} + 12 = e^{3} : x = \frac{e ^{3} - 12}{2 3}, x = - \frac{e ^{3} - 12}{2 3}

x = \frac{e ^{3} - 12}{2 3}, x = - \frac{e ^{3} - 12}{2 3}

验证解:

x = \frac{e ^{3} - 12}{2 3}

真

, x = - \frac{e ^{3} - 12}{2 3}

真

解为

x = \frac{e ^{3} - 12}{2 3}, x = - \frac{e ^{3} - 12}{2 3}

作图

流行的例子

log_{9}(x)+log_{9}(x+2)-1/2 =0

lo g_{9} (x) + lo g_{9} (x + 2) - \frac{1}{2} = 0

log_{4}(4x-8)=3

lo g_{4} (4 x - 8) = 3

9=log_{3}(x-272)+3

9 = lo g_{3} (x - 272) + 3

ln ((x + 2)^{2}) = 12

ln (3 x + 9) = 2 x - 3