SOLUTION: (2/5)^x = 25/4

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Question 187160: (2/5)^x = 25/4
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Since  can be written as 
and  can be written as ,
then  can be written as 
Then we can flip the fraction inside the 
parentheses and change the sign of the exponent
and so altogether .

So now we have



Now we can equate the exponents since the bases
are the same and positive and 



Edwin

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