Solve the following equation for x: log^9 x = 2.5

Given, ⇒ log 9 x = 2.5 ⇒ x = 9 2.5 ⇒ x = ⇒ x = 3 5 = 243. Hence, x = 243.

Mathematics

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Given,

⇒ log₉x = 2.5

⇒ x = 9^2.5

⇒ x = $(3^2)^{\dfrac{5}{2}} = 3^{2 \times \dfrac{5}{2}}$

⇒ x = 3⁵ = 243.

Hence, x = 243.

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