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Solve 125 power x=25/5power x

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Solve 125 power x=25/5power x

Posted by Devashish Mishra 8 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Dharmendra Kumar 8 years, 3 months ago

(125)^x ={tex}25\over 5^x{/tex}

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

5^3x = 5² × 5^-x [by using (aⁿ)^m=a^nm]

5^3x= 5^2-x[by using aⁿ× a^m = a^n+m ]

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

3x+x=2

4x=2

x={tex}2\over 4{/tex}

x= {tex}1\over 2{/tex}

1Thank You

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CBSE > Class 09 > Mathematics