If log 625 = 2.7959, find log 5,25 and 125
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Given problem
if log 625 = 2.7959 then find i) log 5, ii) log 25 and iii) log 125
from given data log 625 = 2.7959
log (5⁴) = 2.7959 [ 625 = 5⁴ ]
4 log 5 = 2.7959
i) log 5
log 5 = 2.7959 / 4 = 0.698975
log 5 = 0.698975
ii) log 25
log 5² = 2 log 5
log 25 = 2 log 5
= 2 ( 0.698975)
= 1.39795
log 25 = 1.39795
iii) log 125
log 5³ = 3 log 5
log 125 = 3 (0.698975)
= 2.096
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