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人気のある代数 >

log_{x}(3)=x

解

lo g_{x} (3) = x

解

x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

+1

十進法表記

x = 1.82545 \dots

解答ステップ

lo g_{x} (3) = x

f (x) = g (x)

ならば,

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

x^{l o g_{x} (3)} = x^{x}

簡素化

x^{l o g_{x} (3)} : 3

3 = x^{x}

解く

3 = x^{x} : x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

解を検算する:

x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

真

解は

x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

グラフ

人気の例

4log_{3}(5p-3)-2=10

4 lo g_{3} (5 p - 3) - 2 = 10

-log_{10}(x)=0.8

- lo g_{10} (x) = 0.8

solvefor x,ln(y+1)=ln(x-1)+C

so l v e f or x, ln (y + 1) = ln (x - 1) + C

log_{5}(3x^2)=log_{5}(27)

lo g_{5} (3 x^{2}) = lo g_{5} (27)

ln (x) = e^{7}