Math, asked by Christin1, 1 year ago

The solution to the equation (125)^2x-3=(1÷25)^x+1

Answers

Answered by Ankit1408
4
hello users ....
Given that :
125^(2x-3) = 1/25^(x+1)

solution:-
we know that
1/x = x^(-1)

here,
=> 125^(2x-3) = 1/25^(x+1)
=> 125^(2x-3) = 25^{-(x+1) }

=> 5³^(2x-3) = 5²^ (-x-1)

=> 5^{3(2x-3)} = 5^{2(-x-1)}

by comparing ....
=> 3(2x-3) = 2(-x-1)

=> 6x - 9 = -2x - 2

=> 8 x = 7

=> x = 7/8 Answer

⭐✡ hope it helps ⭐✡

Anonymous: excellent
Christin1: Thank u very much .U R really brill
Ankit1408: ^^"
Ankit1408: thanks
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