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# Solve the Following Equation For X: 2^(3x-7)=256 - CBSE Class 9 - Mathematics

ConceptLaws of Exponents for Real Numbers

#### Question

Solve the following equation for x:

2^(3x-7)=256

#### Solution

2^(3x-7)=256

rArr2^(3x-7)=2^8

⇒ 3x - 7 = 8

⇒ 3x = 8 + 7

⇒ 3x = 15

⇒ x = 15/3

⇒ x = 5

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. 2.10 | Q: 8.6 | Page no. 12

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Solution Solve the Following Equation For X: 2^(3x-7)=256 Concept: Laws of Exponents for Real Numbers.
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