Log 5 plus log 2 equals?

log5 + log2 =

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

log a + log b=log (a*b)

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

loga a=1

Therefore:

log 10=1

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