Melody

More information please.

Yes it does, I had edited it, at least I thought i had but I guess something went wrong.  

Thanks for your observation  

I always start by remembering that    \(log_{10}100=2\)

so if

\(y=\log_{\sqrt[3]{5}}125\\ then\\ \left(\sqrt[3]{5}\right)^y=125\\ (5^{1/3})^y=15^3\\ \)

You can finish it.

Post one question at a time. Learn from your answers before you post more.

This question is closed  (no more answering will be allowed)

First you have to find the equation of the line.

Hint:  it goes through (1,-4)  and  (4,-5)

I agree SparlingWater2, this is a tricky problem.

I made an interactive pic here.  (just because I like drawing pics with GeoGebra)

Hi SparklingWater2

If it took you hours to solve it, then I guess you already have the answers.

So... you have posted it as an interest question?

That is perfectly fine but you should make it very clear that that is what you have done.

Well.

either x+5=12

or  x+5=-12

now you work it out

cos(sin^(-1)(-(1)/(2)))+tan^(-1)(cos(\pi ))

\(cos(asin\frac{-1}{2})+atan(cos(\pi ))\\ =cos(2\pi-\frac{\pi}{6})+atan(-1)\\ =cos(\frac{\pi}{6})+\frac{-\pi}{4}\\ =\frac{\sqrt3}{2}-\frac{\pi}{4}\\ =\frac{2\sqrt3-\pi}{4}\\\)

Ok, I have answered it.