If Log5 X = Y, Find 52y+ 3 in Terms of X. - Mathematics

If log₅ x = y, find 5^{2y+ 3} in terms of x.

Sum

log₅ x = y ...[ given ]

⇒ 5^y = x

⇒ (5^y)² = x²

⇒ 5^2y = x²

⇒ 5^2y x 5³ = x² x 5³

⇒ 5^{2y + 3} = 125x²

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 8: Logarithms - Exercise 8 (C) [Page 108]

Chapter 8 Logarithms
Exercise 8 (C) | Q 4 | Page 108

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