Question

if 5^2x-1 = 125^3-x then the value of x is ​

Answer 1

Ans- x=2

125=5^3

=(5^3)^3-x

=(5)^3*(3-x)

=5^9-3x

5^2x-1=5^9-3x

as base are now same we will see to exponents

2x-1=9-3x

2x+3x=9+1

5x=10

x=10/5

x=2

thanks

Answer 2

Answer:

5²x - 1 = 125³ - x

5²x - 1 = ((5)³)³ - x

5²x - 1 = 5⁹ - x

5x² + x - 1 = 5⁹

5²x + x = 5⁹ + 1

25x + x = 1953125 + 1

26x = 1953126

x = 1953126\26

x = 7512O.23 ( Ans )

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