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受欢迎的代数 >

log_{10}(x^4)= 1/4

解答

lo g_{10} (x^{4}) = \frac{1}{4}

解答

x = 810, x = - 810

+1

十进制

x = 1.15478 \dots, x = - 1.15478 \dots

求解步骤

lo g_{10} (x^{4}) = \frac{1}{4}

使用指数法则:

a^{2 \cdot n} = (a^{2})^{n}

x^{4} = (x^{2})^{2}

lo g_{10} ((x^{2})^{2}) = \frac{1}{4}

使用对数运算法则

x^{2} = 810

解

x^{2} = 810 : x = 810, x = - 810

x = 810, x = - 810

验证解:

x = 810

真

, x = - 810

真

解为

x = 810, x = - 810

作图

流行的例子

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-log_{e}(1-3x)=1

- lo g_{e} (1 - 3 x) = 1

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6 ln (4 x - 9) + 14 = 26

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lo g_{3} (x + 1) = lo g_{3} (2 x - 3)

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