Question

Q2: Find the logarithm of the following.
1) 8.007
ii) 0.002348​

Answer 1

Given : 1) 8.007

ii) 0.002348​

To Find :  logarithm

Solution:

8.007

= 80.07 /10

log 8.007  = log ( 80.07)  - log (10)

From log table

log ( 80.07)    = 1.9031 + 0.0004  = 1.9035

log (10) = 1.0000

=> log 8.007  =  1.9035 - 1

=>  log 8.007  = 0.9035  

0.002348​ = 23.48/10000

log ( 0.002348​) = log (23.48)  - log (10000)

= log (23.48)  - log (10⁴)

=  log (23.48)  - 4 log 10

From log table

log ( 23.48)    = 1.3692 + 0.0015  = 1.3707

log (10) = 1.0000

log ( 0.002348​)  =  1.3707 - 4 (1)

= -2.6293

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