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受欢迎的代数 >

log_{x}(1024)=x

解答

lo g_{x} (1024) = x

解答

x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

+1

十进制

x = 4.56495 \dots

求解步骤

lo g_{x} (1024) = x

若

f (x) = g (x)

，则

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

x^{l o g_{x} (1024)} = x^{x}

化简

x^{l o g_{x} (1024)} : 1024

1024 = x^{x}

解

1024 = x^{x} : x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

验证解:

x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

真

解是

x = \frac{10 ln ( 2 )}{W _{0} ( 10 ln ( 2 ) )}

作图

流行的例子

log_{10}(x)=-2.62

lo g_{10} (x) = - 2.62

5.25=log_{10}(x)

5.25 = lo g_{10} (x)

ln (\frac{x}{3}) = 4

2log_{5}(5x)-1=11

2 lo g_{5} (5 x) - 1 = 11

log_{10}(2)+log_{10}(x)=2

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