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2014-07-06T12:07:08+05:30

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If no base is given then it means it is 10
so given log₁₀ 2= 0.3010
so 1/
 log₂ 10 = 0.301
⇒1/0.301 = log₂ (5 × 2)
⇒3.32226 =  log₂  2 +  log₂ 5 
⇒ 2.32226 = log₂ 5
⇒1/log₅ 2 = 2.32226
⇒log₅ 2 = 0.43052
⇒ log₅2 + log₅ 5 = 1.43052
⇒log₅ 10 = 1.43052
⇒1/log₁₀ 5 =1.43052
⇒log₁₀ 5 = 0.71164
     

so log 5 = 0.71164

1 5 1
the step 2
where u say 1/0.301=3.32226
my doubt is hw is dis possible :(
use the calc it is possible due to the presence of the decimals in the denominator
better use calculator and verify my result if not believing