SOLUTION: My math final is tomorrow and I am trying to solve this problem on the study guide. {{{7x^(5/3)=36}}} Thank you so much to anyone who can help!!!

Algebra ->  Radicals -> SOLUTION: My math final is tomorrow and I am trying to solve this problem on the study guide. {{{7x^(5/3)=36}}} Thank you so much to anyone who can help!!!      Log On


   

Question 142543: My math final is tomorrow and I am trying to solve this problem on the study guide.
7x%5E%285%2F3%29=36
Thank you so much to anyone who can help!!!
Found 2 solutions by jim_thompson5910, bebedeeb:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7x%5E%285%2F3%29=36 Start with the given equation


cross%287%29x%5E%285%2F3%29%2Fcross%287%29=36%2F7 Divide both sides by 7


x%5E%285%2F3%29=5.14286 Divide


%28x%5E%285%2Fcross%283%29%29%29%5Ecross%283%29=5.14286%5E3 Cube both sides. This will eliminate the denominator 3 in the exponent


x%5E5=136.02355 Cube 5.14286 to get 46,656


root%28cross%285%29%2Cx%5Ecross%285%29%29=root%285%2C136.02355%29 Take the 5th root of both sides. This will cancel out the exponent 5


x=2.67130 Take the 5th root of 136.02355 to get approximately 2.67130



So our answer is x=2.67130

Answer by bebedeeb(7) About Me  (Show Source):
You can put this solution on YOUR website!
7x%5E%285%2F3%29=36
First divide both sides by 7
7x%5E%285%2F3%29%2F7=36%2F7
so x%5E%285%2F3%29=5.142857143
then cube both sides %28x%5E%285%2F3%29%29%5E3=%285.142857143%29%5E3
so x%5E5=136.0233236
then take the 5th root from both sides
x=2.67130076