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If 5x + 1 = 25x - 2, Find the Value of 3x - 3 × 23 - X - Mathematics

Sum

If 5x + 1 = 25x - 2, find the value of  3x - 3 × 23 - x.

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Solution

5x + 1 = 25x - 2 
⇒ 5x + 1 = (52)x - 2
⇒  5x + 1 = 52x - 4
If bases are equal, powers are also equal.
⇒ x + 1 = 2x - 4
⇒ 2x - x = 4 + 1
⇒ x = 5

∴ 3x - 3 x 23 - x 
= 35 - 3 x 23 - 5
= 32 x 2-2 
= 9 x `1/4 = 9/4`

Concept: Solving Exponential Equations
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (B) | Q 12 | Page 101
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