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If 3x+1 = 9x-3, Find the Value of 21+X. - Mathematics

Sum

If 3x + 1 = 9x - 3 , find the value of 21 + x.

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Solution

3x + 1 = 9x - 3
⇒ 3x 3 = ( 32 )x - 3 
⇒ 3x x 3 = `3^(2x)/3^6`

⇒ `3^6 xx 3 = 3^(2x)/3^x `

⇒ `3^7 = 3^x`
⇒ x = 7
⇒ `2^( 1 + x ) = 2^( 1 + 7 ) = 2^8 = 256`

Concept: Solving Exponential Equations
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (C) | Q 5 | Page 101
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