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anonymous
 one year ago
how do you do log(8^8 * 5^5)
anonymous
 one year ago
how do you do log(8^8 * 5^5)

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brunsonni
 one year ago
Best ResponseYou've already chosen the best response.0When multiplying exponents you multiply the constants and add the exponents so that would be 40^13

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it would be log(40^13)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@brunsonni You may want to check that with a calculator... That's not quite accurate

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait so how do i do it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You are right that if the base was the same, you could add the exponents Ex: 2^4*2^2=2*2*2*2*2*2=2^6 But you can't just combine everything with different bases and powers :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0As 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 \[\log_{}(a*b )=\log(a)+\log(b)\] and that \[\log(a^b)=b \times \log(a)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you figure it out from here?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait it says to expand the problem completely

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right, 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
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