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受欢迎的代数 >

x=7log_{x}(sqrt(e))

解答

x = 7 lo g_{x} (e)

解答

x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

+1

十进制

x = 3.09655 \dots

求解步骤

x = 7 lo g_{x} (e)

交换两边

7 lo g_{x} (e) = x

两边除以

7

lo g_{x} (e) = \frac{x}{7}

若

f (x) = g (x)

，则

a^{f (x)} = a^{g (x)}

x^{l o g_{x} (e)} = x^{\frac{x}{7}}

化简

x^{l o g_{x} (e)} : e

e = x^{\frac{x}{7}}

解

e = x^{\frac{x}{7}} : x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

验证解:

x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

真

解是

x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

作图

流行的例子

solvefor y,ln(y^2)=z

so l v e f or y, ln (y^{2}) = z

log_{8}(8x^2)=1

lo g_{8} (8 x^{2}) = 1

1 + \frac{1}{x} + ln (x) = 0

solvefor y,ln(y-14)=x+ln(x)

so l v e f or y, ln (y - 14) = x + ln (x)

log_{5}(x^2)+9=2

lo g_{5} (x^{2}) + 9 = 2