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Evaluate : Log16 8 - Mathematics

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Question

Evaluate : log16 8

Sum

Solution

Let log16 8 = x
⇒ 16x = 8
⇒  ( 2 x 2 x 2 x 2 )x = 2 x 2 x 2
⇒ ( 24 )x = 23
⇒ 24x = 23
⇒ 4x = 3 
⇒ x = `3/4`
Thus, log16 8 = `3/4`

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Interchanging Logarithmic and Exponential Forms
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Chapter 8: Logarithms - Exercise 8 (A) [Page 104]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 8 Logarithms
Exercise 8 (A) | Q 7.5 | Page 104
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