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Solve 125 power x=25/5power x

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Solve 125 power x=25/5power x
  • 1 answers

Dharmendra Kumar 6 years, 8 months ago

(125)x ={tex}25\over 5^x{/tex}

( 53)x  =  25× (5x)-1      [by using {tex}{1\over a^n}=a^{-n}{/tex} ]

  53x   =  52 × 5-x             [by using (an)m=anm]

  53x    =   52-x                    [by using an× am = an+m ]

      3x=2-x                       [by using if an = am than n=m]

      3x+x=2

       4x=2

         x={tex}2\over 4{/tex} 

         x= {tex}1\over 2{/tex}

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