Verified Answer :

log a + log b=log (ab)

log 5 + log 2=log (52)=log 10

loga  a=1
Therefore:
log 10=1

Answer: log 5+ log 2=log 10=1

AL2006


The sum of logs = the log of the product .

     log(5) + log(2)  =  log(5·2)  =  log(10)

If these are all logs to the base 10, then  log(10) = 1

       log(5) + log(2)  =  1

Let's try it out !

According to my calculator ...

             log(5)  =  0.69897...

             log(2)  =  0.30103...

Log(5) + log(2)  =  0.99999...          yay !        not bad

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