5^3x * (5^3)^7=5^2x+3
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Step-by-step explanation:
Given that,
5^3x * (5^3)^7 = 5^2x+3
⇒ 5^3x * 5^21 = 5^2x +3 (∵( a ^m)^n = a ^mn )
⇒ 5^3x +21 = 5^2x +3 (∵Bases are equal then powers should be add )
⇒3x + 21 = 2x + 3 (∵Bases are equal then powers should be equal)
⇒ 3x - 2x = 3 - 21
⇒ x = - 18 is the answer.
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