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受欢迎的代数 >

log_{x}(3)=3log_{3}(9)x

解答

lo g_{x} (3) = 3 lo g_{3} (9) x

解答

x = \frac{ln ( 3 )}{6 W _{0} ( \frac{l n ( 3 )}{6} )}

+1

十进制

x = 1.16948 \dots

求解步骤

lo g_{x} (3) = 3 lo g_{3} (9) x

若

f (x) = g (x)

，则

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

x^{l o g_{x} (3)} = x^{3 l o g_{3} (9) x}

化简

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

化简

x^{3 l o g_{3} (9) x} : x^{6 x}

3 = x^{6 x}

解

3 = x^{6 x} : x = \frac{ln ( 3 )}{6 W _{0} ( \frac{l n ( 3 )}{6} )}

x = \frac{ln ( 3 )}{6 W _{0} ( \frac{l n ( 3 )}{6} )}

验证解:

x = \frac{ln ( 3 )}{6 W _{0} ( \frac{l n ( 3 )}{6} )}

真

解是

x = \frac{ln ( 3 )}{6 W _{0} ( \frac{l n ( 3 )}{6} )}

作图

流行的例子

log_{10}(3^{3x+1})=9^x

lo g_{10} (3^{3 x + 1}) = 9^{x}

log_{3}(4x+6)=4

lo g_{3} (4 x + 6) = 4

3log_{10}(10x)-2=10

3 lo g_{10} (10 x) - 2 = 10

ln(x-3)=ln(7x-23)-ln(x+1)

ln (x - 3) = ln (7 x - 23) - ln (x + 1)

- x + 4 = ln (x)