Math, asked by Anonymous, 1 year ago

5power 3x+4=25x 5power4x-1, find the Value of x


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Answers

Answered by chavan1234
8
Sol: Given (5)2x -1 - (25)x - 1 = 2500 ⇒ ( 5 )2x5-1- (5)2(x - 1) = 2500 ⇒ ( 5 )2x 5-1- ( 5 )2x 5-2= 2500 ⇒ ( 5 )2x  / 5 - ( 5 )2x / 25  = 2500Let ( 5 )2x = a ⇒ a / 5 - a / 25 = 2500 ⇒ 4a / 25 = 2500 4a = 62500 a = 15625 But ( 5 )2x = a = 15625. ( 5 )2x = 56  ( bases are equal power should be equated ) 2x = 6 x = 3.
Answered by Anonymous
13
2x =6
x. = 3

hence .. x is eqaul to 3
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