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?

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?