anonymous
  • anonymous
how do you do log(8^8 * 5^5)
Trigonometry
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anonymous
  • anonymous
how do you do log(8^8 * 5^5)
Trigonometry
jamiebookeater
  • jamiebookeater
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brunsonni
  • brunsonni
When multiplying exponents you multiply the constants and add the exponents so that would be 40^13
anonymous
  • anonymous
so it would be log(40^13)?
anonymous
  • anonymous
@brunsonni You may want to check that with a calculator... That's not quite accurate

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anonymous
  • anonymous
wait so how do i do it?
anonymous
  • anonymous
You 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
  • anonymous
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 \[\log_{}(a*b )=\log(a)+\log(b)\] and that \[\log(a^b)=b \times \log(a)\]
anonymous
  • anonymous
Can you figure it out from here?
anonymous
  • anonymous
wait it says to expand the problem completely
anonymous
  • anonymous
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

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