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प्रश्न
If log 2 = 0.3010 and log 3 = 0.4771; find the value of:
`2/3` log 8
उत्तर
We know that log 2 = 0.3010 and log 3 = 0.4771
`2/3`log 8
= `2/3` log 2 × 2 × 2
= `2/3` log23
= 3 × `2/3` log2 ...[logamn = nlogam]
= 2 log2
= 2 × 0.3010 ...[∵ log2 = 0.3010]
= 0.6020
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