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Find X, If : 42x = 1/32 - Mathematics

Sum

Find x, if : 42x = `1/32`

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Solution

42x = `1/32`

⇒ ( 2 x 2 )2x = `1/[ 2 xx 2 xx 2 xx 2 xx 2]`

⇒ ( 22 )2x = `1/[ 2^5]`

⇒ 22 x 2x = 2- 5

⇒ 24x = 2- 5

We know that if bases are equal, the powers are equal
⇒ 4x = - 5
⇒ x = `(-5)/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 2.1 | Page 100
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