SOLUTION: (2/5)^x=(125/8)

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Question 237545: (2/5)^x=(125/8)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Note that 5%5E3=125 and 2%5E3=8. So 125%2F8=5%5E3%2F2%5E3=%285%2F2%29%5E3


In other words, %282%2F5%29%5Ex=%28125%2F8%29 becomes %282%2F5%29%5Ex=%285%2F2%29%5E3. Can you see how to go from here? If not, then just ask.