Question

(x-1)^5/2=243

Answer 1

is it (x-1)^(5/2) or ((x-1)^5) / 2?

Answer 2

yeah I try to do the work on paper and I got 8 but i don't think that right

Answer 3

\[\Large (x-1)^{\frac{5}{2}}=243\]



\[\Large (x-1)^{5}=243^2\]



\[\Large x-1=(243^2)^{\frac{1}{5}}\]



\[\Large x-1=243^{\frac{2}{5}}\]



\[\Large x-1=(243^{\frac{1}{5}})^{2}\]



\[\Large x-1=(\sqrt[5]{243})^{2}\]



\[\Large x-1=(\sqrt[5]{3^5})^{2}\]



\[\Large x-1=3^{2}\]



\[\Large x-1=9\]



\[\Large x=9+1\]



\[\Large x=10\]

Answer 4

@omarhaps maybe you made a mistake on the last line of what I have (ie you subtracted 1 instead of adding 1)

Answer 5

Hey thanks for the help & I think your right. I made a little mistake