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When multiplying exponents you multiply the constants and add the exponents so that would be 40^13
so it would be log(40^13)?
@brunsonni You may want to check that with a calculator... That's not quite accurate
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wait so how do i do it?
You are right that if the base was the same, you could add the exponents
But you can't just combine everything with different bases and powers :)
As for this problem, the easiest way is to use a calculator. The mathier way is to use the properties of logarithms.
In this case, you have to know that
\[\log(a^b)=b \times \log(a)\]
Can you figure it out from here?
wait it says to expand the problem completely
right, so you can use the properties I listed above to expand it. You'll have to use both and I recommend using them in the order I listed