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Find the Value of X in the Following: `5^(X-2)Xx3^(2x-3)=135` - CBSE Class 9 - Mathematics

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Question

Find the value of x in the following:

`5^(x-2)xx3^(2x-3)=135`

Solution

Given `5^(x-2)xx3^(2x-3)=135`

`5^(x-2)xx3^(2x-3)=5xx3^3`

On equating the exponents of 5 and 3 we get,

x - 2 = 1

x = 1 + 2

x = 3

And,

2x - 3 = 3

2x = 3 + 3

2x = 6

x = 6/2

x = 3

Hence, the value of x = 3.

  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: 10.4 | Page no. 26

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Solution Find the Value of X in the Following: `5^(X-2)Xx3^(2x-3)=135` Concept: Laws of Exponents for Real Numbers.
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