SOLUTION: need help on log equation: {{{(1/2)^(2x-1)=(1/4)^(3x+2)}}}

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Question 630598: need help on log equation:

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Write  as 



Remove outer parentheses on right by multiplying exponents:



Since the base  is the same on both sides and since  is
positive and not equal to 1, we may equate exponents:

2x-1 = 6x+4
 -4x = 5
   x = 

No need for logs on this problems.  Logs could be used,
but they are unnecessary.

Edwin

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