Why is -ln x is not equal to 1/ln x? I am doing differential equation now and I need to convert them into the proper form in order to do my homogeneous differential equation. So now I just found out that -ln x is not equal to 1 / ln x. I thought it should be able to convert to ln x to the negative 1 then I can put it into the form 1/ ln x. Can anyone explain about it?

Why is $-\mathrm{ln}x$ is not equal to $1/\mathrm{ln}x$?
I am doing differential equation now and I need to convert them into the proper form in order to do my homogeneous differential equation. So now I just found out that $-\mathrm{ln}x$ is not equal to $1/\mathrm{ln}x$. I thought it should be able to convert to $-\mathrm{ln}x$ to the negative 1 then I can put it into the form $1/\mathrm{ln}x$. Can anyone explain about it?
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plomet6a
Why is $-\mathrm{ln}\left(x\right)$ is not equal to $\frac{1}{\mathrm{ln}\left(x\right)}$?
Because and is not equal to
In general, for most of the functions $f\left(x\right)$ we don't have $f\left(\frac{1}{x}\right)=\frac{1}{f\left(x\right)}$