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प्रश्न
If log 27 = 1.431, find the value of : log 300
उत्तर
log 27 = 1.431
⇒ log 3 x 3 x 3 = 1.431
⇒ log 33 = 1.431
⇒ 3log3 = 1.431
⇒ log 3 = `1.431/3`
⇒ log 3 = 0.477 ...(1)
log 300
= log( 3 x 100 )
= log 3 + log 100
= log 3 + 2 ...[ ∵ log10100 = 2 ]
= 0.477 + 2
= 2.477
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