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

Sum

Solve : 3x-1× 52y-3 = 225.

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Solution

3x-1× 52y-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`

Concept: Solving Exponential Equations
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (C) | Q 3 | Page 101
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