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人気のある代数 >

log_{10}(x)= 1/x

解

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

解

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

+1

十進法表記

x = 2.50618 \dots

解答ステップ

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

f (x) = g (x)

ならば,

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

1 0^{l o g_{10} (x)} = 1 0^{\frac{1}{x}}

簡素化

1 0^{l o g_{10} (x)} : x

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

解く

x = 1 0^{\frac{1}{x}} : x = \frac{ln ( 10 )}{W _{0} ( ln ( 10 ) )}

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

解を検算する:

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

真

解は

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

グラフ

人気の例

log_{2}(x)-2log_{x}(3)=0

lo g_{2} (x) - 2 lo g_{x} (3) = 0

ln (5 x - 6) = 3

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

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

log_{2}(x+1)+log_{2}(x+7)=3

lo g_{2} (x + 1) + lo g_{2} (x + 7) = 3

lo g_{5} (7 - x) = 2