How can I remake function from y= log(x) to x=smth y ?
I've got function y = 134.94ln(x) + 991.04 and I need to make the other form (x=something)
I would say, that the answer is x = e^y *134.94 + 991.04, but when I use it, it doesn't give me the right x, or y like the first one does.
Please it's importnant and I don't have knowledge to do it right.
\(134.94ln(x)= y-991.04\)
\({e}^{134.94ln(x)}= {e}^{y}-{e}^{-991.04}\)
\(134.94ln(x)= {e}^{y}-{e}^{-991.04}\)
.y=134.94ln(x) + 991.04
then
134.94 ln(x) =y - 991.04
ln(x) =(y-991.04)/134.94
x = e^( (y-991.04)/134.94. )
Now just plug in the y value to solve.
\(134.94ln(x)= y-991.04\)
\({e}^{ln(x)}={e}^{(y-991.04)/134.94}\)
\(x= {e}^{(y-991.04)/134.94}\)
Man, i don't know really what happaned, but my math brain gone crazy there. This is the right answer, as guest said.