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Solve the Following Equation: `3^(X-1)Xx5^(2y-3)=225` - CBSE Class 9 - Mathematics

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Question

Solve the following equation:

`3^(x-1)xx5^(2y-3)=225`

Solution

`3^(x-1)xx5^(2y-3)=225`

`rArr3^(x-1)xx5^(2y-3)=3xx3xx5xx5`

`rArr3^(x-1)xx5^(2y-3)=3^2xx5^2`

⇒ x - 1 = 2 and 2y - 3 = 2

⇒ x = 2 + 1 and 2y = 2 + 3

⇒ x = 3 and 2y = 5

⇒ x = 3 and y = 5/2

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 2: Exponents of Real Numbers
Ex. 2.20 | Q: 16.3 | Page no. 26

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Solution Solve the Following Equation: `3^(X-1)Xx5^(2y-3)=225` Concept: Laws of Exponents for Real Numbers.
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