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受欢迎的代数 >

log_{10}(1/(x^2))=2

解答

lo g_{10} (\frac{1}{x ^{2}}) = 2

解答

x = \frac{1}{10}, x = - \frac{1}{10}

+1

十进制

x = 0.1, x = - 0.1

求解步骤

lo g_{10} (\frac{1}{x ^{2}}) = 2

使用对数运算法则

\frac{1}{x ^{2}} = 1 0^{2}

在两边乘以

x^{2}

\frac{1}{x ^{2}} x^{2} = 1 0^{2} x^{2}

化简

1 = 100 x^{2}

解

1 = 100 x^{2} : x = \frac{1}{10}, x = - \frac{1}{10}

x = \frac{1}{10}, x = - \frac{1}{10}

验证解:

x = \frac{1}{10}

真

, x = - \frac{1}{10}

真

解为

x = \frac{1}{10}, x = - \frac{1}{10}

作图

流行的例子

6log_{x}(25)=7-log_{5}(x)

6 lo g_{x} (25) = 7 - lo g_{5} (x)

lo g_{x} (2) = 3

log_{2}(x+4)-log_{2}(x+1)=1

lo g_{2} (x + 4) - lo g_{2} (x + 1) = 1

ln (3 - 2 x) = - 4

0.72=log_{10}(x)

0.72 = lo g_{10} (x)