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Evaluate : Log2 ( 1 ÷ 8 ) - Mathematics

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Question

Evaluate : log2 ( 1 ÷ 8 )

Sum

Solution

Let log2`1/8` = x

⇒ 2x = `1/8`
⇒ 2x = `1/[ 2 xx 2 xx 2 ]`

⇒ 2x = `1/2^3`

⇒ 2x = 2-3
⇒ x = - 3
Thus, log2`1/8` = -3 

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Interchanging Logarithmic and Exponential Forms
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Chapter 8: Logarithms - Exercise 8 (A) [Page 103]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 8 Logarithms
Exercise 8 (A) | Q 7.2 | Page 103
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