How do you simplify $log10^9 + 10^log5$ ?

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Answer 1 · 2016-07-21T14:54:39

I found $14$ (supposing base $10$ for the logs).

Supposing the base of the logs being $10$ we see that:

$log10^9=9$

and:

$10^(log5)=5$

both derive from the definition of log (specifically in base $10$ ):
$log_10x=a ->x=10^a$

So basically you expression becomes:
$log10^9+10^(log5)=9+5=14$

If the base is not $10$ then it depends...

How do you simplify log10^9 + 10^log5 log10^9 + 10^log5?