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Mathematics

Solve the following equation for x:
5^{2x + 3} = 1

Indices

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Answer

Given,

⇒ 5^{2x + 3} = 1

⇒ 5^{2x + 3} = 5⁰

⇒ 2x + 3 = 0

⇒ 2x = -3

⇒ x = - $\dfrac{3}{2}$ .

Hence, x = - $\dfrac{3}{2}$ .

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