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प्रश्न
If log10 8 = 0.90; find the value of : log10 4
उत्तर
Given that log108 = 0.90
⇒ log102 x 2 x 2 = 0.90
⇒ log1023 = 0.90
⇒ 3log102 = 0.90
⇒ log102 = `0.90/3`
⇒ log102 = 0.30 ...(1)
log 4
= log10( 2 x 2 )
= log10( 22 )
= 2log102
= 2( 0.30 ) ...[ from(1) ]
= 0.60
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