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Evaluate: log_3 1/27 - Mathematics

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Question

Evaluate:

`log_3  1/27`

Evaluate
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Solution

`log_3  1/27`

Step 1: Express `1/27` as a power of 3:

27 = 33

So `1/27 = 3^-3`

Step 2: Apply the logarithmic rule:

log3 (3–3) = –3

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Chapter 7: Logarithms - MISCELLANEOUS EXERCISE [Page 76]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
MISCELLANEOUS EXERCISE | Q 2. (i) | Page 76
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