if 25 to the power x-1 = 5 to the power 2x-1 -100 .find the value of x.
please give answer fast and right i will mark as brainlist
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25^(x-1) = 5^(2x-1) - 100
=>5^(2x-2) = 5^(2x-1) - 100
=>5^(2x) × (5^(-2) - 5^(-1)) = 100
=> 5^(2x) = -100/(-4÷25)
=> 5^(2x) = 25 × 25
=> 5^(2x) = 5^(4)
=>2x = 4
=>x =1/2.
=>5^(2x-2) = 5^(2x-1) - 100
=>5^(2x) × (5^(-2) - 5^(-1)) = 100
=> 5^(2x) = -100/(-4÷25)
=> 5^(2x) = 25 × 25
=> 5^(2x) = 5^(4)
=>2x = 4
=>x =1/2.
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