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# Find the Value of X in the Following: (13)^(Sqrtx)=4^4-3^4-6 - CBSE Class 9 - Mathematics

ConceptLaws of Exponents for Real Numbers

#### Question

Find the value of x in the following:

(13)^(sqrtx)=4^4-3^4-6

#### Solution

Given (13)^(sqrtx)=4^4-3^4-6

(13)^(sqrtx)=(2^2)^4-3^4-6

rArr(13)^(sqrtx)=2^8-3^4-6

rArr(13)^sqrtx=256-81-6

rArr(13)^sqrtx=169

rArr(13)^sqrtx=(13)^2

On comparing we get,

sqrtx=2

On squaring both side we get,

x = 4

Hence, the value of x = 4.

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: 10.8 | Page no. 26

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Solution Find the Value of X in the Following: (13)^(Sqrtx)=4^4-3^4-6 Concept: Laws of Exponents for Real Numbers.
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