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受欢迎的代数 >

log_{x}(3)=x

解答

lo g_{x} (3) = x

解答

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

+1

十进制

x = 1.82545 \dots

求解步骤

lo g_{x} (3) = x

若

f (x) = g (x)

，则

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

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

化简

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

3 = x^{x}

解

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

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

验证解:

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

真

解是

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

作图

流行的例子

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}