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Solve the Following Equation For X: `2^(5x+3)=8^(X+3)` - CBSE Class 9 - Mathematics

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Question

Solve the following equation for x:

`2^(5x+3)=8^(x+3)`

Solution

`2^(5x+3)=8^(x+3)`

`rArr2^(5x+3)=(2^3)^(x+3)`

`rArr2^(5x+3)=2^(3x+9)`

⇒ 5x + 3 = 3x + 9

⇒ 5x - 3x = 9 - 3

⇒ 2x = 6

⇒ x = 6/2

⇒ 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. 2.10 | Q: 8.3 | Page no. 12

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Solution Solve the Following Equation For X: `2^(5x+3)=8^(X+3)` Concept: Laws of Exponents for Real Numbers.
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