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受欢迎的代数 >

8= 9/t ln(2/t)

解答

8 = \frac{9}{t} ln (\frac{2}{t})

解答

t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

+1

十进制

t = 0.89925 \dots

求解步骤

8 = \frac{9}{t} ln (\frac{2}{t})

交换两边

\frac{9}{t} ln (\frac{2}{t}) = 8

在两边乘以

t

9 ln (\frac{2}{t}) = 8 t

两边除以

9

ln (\frac{2}{t}) = \frac{8 t}{9}

若

f (x) = g (x)

，则

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

e^{l n (\frac{2}{t})} = e^{\frac{8 t}{9}}

化简

e^{l n (\frac{2}{t})} : \frac{2}{t}

\frac{2}{t} = e^{\frac{8 t}{9}}

在两边乘以

t

\frac{2}{t} t = e^{\frac{8 t}{9}} t

化简

2 = e^{\frac{8 t}{9}} t

解

2 = e^{\frac{8 t}{9}} t : t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

验证解:

t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

真

解是

t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

作图

流行的例子

log_{2}(x^2-6x)-6=-2

lo g_{2} (x^{2} - 6 x) - 6 = - 2

ln(5)=x+ln(x-5)+10

ln (5) = x + ln (x - 5) + 10

0.44=log_{2}(x)

0.44 = lo g_{2} (x)

solvefor x,ln(x)=10

so l v e f or x, ln (x) = 10

lo g_{e} (a) = - 1