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If log 8 = 0.9030, express the following: log 64 - Mathematics

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Question

If log 8 = 0.9030, express the following:

log 64

Sum
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Solution

Given: log 8 = 0.9030

To find: log ⁡64

Calculation:

Step 1: Express 64 as a power of 8:

64 = 82

⇒ log 64 = log (82)

= 2 log 8

Step 2: Substitute the value:

log 64 = 2 × 0.9030

log 64 = 1.8060

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Chapter 7: Logarithms - EXERCISE 7B [Page 75]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
EXERCISE 7B | Q 7. (iii). (a) | Page 75
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