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Geometrical Probability

If 5a = 3125,...

Question

If 5^a = 3125, then the value of 5^{(a - 3)} is:

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Solution

5^a = 3125
⇒ 5^a = 5⁵
⇒ a = 5

∴ 5^{(a - 3)}
= 5^{(5 - 3)}
= 5² = 25

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