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Solve the Following Equation: `3^(X+1)=27xx3^4` - Mathematics

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Question

Solve the following equation:

`3^(x+1)=27xx3^4`

Solution

`3^(x+1)=27xx3^4`

`rArr3^(x+1)=3^3xx3^4`

`rArr3^(x+1)=3^(3+4)`

`rArr3^(x+1)=3^7`

⇒ x + 1 = 7

⇒ x = 7 - 1

⇒ x = 6

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Chapter 2: Exponents of Real Numbers - Exercise 2.2 [Page 26]

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RD Sharma Mathematics [English] Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.2 | Q 16.1 | Page 26

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