25^x-3=125^2x-3 find x and solve it
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Step-by-step explanation:
Concept:
Law of exponent: (am)n = amn ----(1)
Calculation:
(25)x - 3 = (125)2x - 3
⇒ (52)x - 3 = (53)2x - 3
⇒ (5)2 (x - 3) = (5)3 (2x - 3) [using (1)]
On equating the exponents, we get,
⇒ 2 (x - 3) = 3 (2x - 3)
⇒ 2x - 6 = 6x - 9
⇒ 4x = 3
⇒ x =
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