Question

what's log 5 + log 2 =

Answer 1

1!

Here are the general formulas I always show my students when tutoring logs and exponents:
\[\log_{b}N=e\]
\[b^{e}= N\]
Where b = your base, e = your exponent, and N = your number.

Now, because log 5 and log 2 both have a base of 10, when you add the logs with the same base, you can combine them and multiply their N-values together. In your case, it yields: \[\log_{10} 10\]
And looking at the general formulas posted above, the only exponent which gives you the same value when put to an exponent is 1.

Answer 2

Thank you! That was extremely
helpful!!

Answer 3

Absolutely! Have a great day. :)