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Find the Value of N, When: - Mathematics

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Question

Find the value of n, when:

`12^-5xx12^(2"n"+1)=12^13÷12^7`

Sum

Solution

`12^-5xx12^(2"n"+1)=12^13÷12^7`

`12^(-5+2"n"+1)=12^13/12^7`

`12^(2"n"-4)=12^(13-7)`

`12^(2"n"-4)=12^6`

Comparing both sides,we get

`2"n"-4=6`

`⇒2"n"=6+4` 

`⇒2"n"=10`

`⇒"n"=5`

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More About Exponents
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Chapter 2: Exponents - Exercise 2 (B) [Page 34]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 2 Exponents
Exercise 2 (B) | Q 13.1 | Page 34
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