Solve: 3x-1× 52y-3 = 225. - Mathematics

Solve : 3^x-1× 5^2y-3 = 225.

Sum

3^x-1× 5^2y-3 = 225

⇒ `3^( x - 1 ) xx 5^( 2y - 3 ) = 3^2 xx 5^2`

⇒ x - 1 = 2 and 2y - 3 = 2
⇒ x = 3 and 2y = 5
⇒ x = 3 and y = `5/2`

⇒ x = 3 and y = `2 1/2`

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Solving Exponential Equations

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Chapter 7: Indices (Exponents) - Exercise 7 (C) [Page 101]

Chapter 7 Indices (Exponents)
Exercise 7 (C) | Q 3 | Page 101

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