SOLUTION: What is the solution of the equation? {{{3^5sqrt((x+2)^3) + 3= 27 }}}

Algebra ->  Square-cubic-other-roots -> SOLUTION: What is the solution of the equation? {{{3^5sqrt((x+2)^3) + 3= 27 }}}      Log On


   

Question 744348: What is the solution of the equation?
3%5E5sqrt%28%28x%2B2%29%5E3%29+%2B+3=+27+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E5sqrt%28%28x%2B2%29%5E3%29+%2B+3=+27+
-----
3%5E5sqrt%28%28x%2B2%29%5E3%29+=+24+
3%5E4sqrt%28%28x%2B2%29%5E3%29+=+8+
3%5E8%28x%2B2%29%5E3+=+64+
3%5E%288%2F3%29%28x%2B2%29+=+4+
x%2B2+=+4%2A3%5E%283%2F8%29+
x+=+4%2A3%5E%283%2F8%29+-+2+
x = 4*3^(3/8) - 2