SOLUTION: solve (1/25)^-x=125^x-3. first i did 25^x=125^x-3. then 5^2x=5^3x-3. then 2X=3x-3 and x=3. but the answers supposed to be 9. please help, i have a test tomorow! thanks

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Question 25353: solve (1/25)^-x=125^x-3. first i did 25^x=125^x-3. then 5^2x=5^3x-3. then 2X=3x-3 and x=3. but the answers supposed to be 9. please help, i have a test tomorow!
thanks

Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!



Now 25 is and 125 is , so we have



so we have 5 to a power on both sides and it is an equation, so the powers must be the same number, so 2x = 3(x-3)

Hence 2x = 3x-9
--> x = 9

jon

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