SOLUTION: Solve for x: {{{log(x,(625/81))=4}}}

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Question 130691: Solve for x:


log%28x%2C%28625%2F81%29%29=4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

log%28x%2C%28625%2F81%29%29=4 Start with the given equation.


x%5E%284%29=625%2F81 Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> b%5Ey=x


x=root%284%2C625%2F81%29 Take the fourth root of both sides


x=root%284%2C625%29%2Froot%284%2C81%29 Break up the root


x=5%2F3 Take the fourth root of 625 to get 5. Take the fourth root of 81 to get 3.