Find the value of x for which 5 by 3 raise to power minus 4 x 5 by 3 raise to power minus 5 is equal to 5 by 3 raise to power 3 x
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( 5/3 )^-4 × ( 5/3 )^-5 = ( 5/3 )^3x
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By exponential laws :
1 ) a^m × a^n = a^m+n
2 ) If a^m = a^n then m = n
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( 5/3 )^-4-5 = ( 5/3 )^3x
( 5/3 )^-9 = ( 5/3 )^3x
-9 = 3x
-9/3 = x
-3 = x
Therefore ,
x = -3
I hope this helps you.
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Hope it helps mate
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