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anonymous

  • one year ago

how do you do log(8^8 * 5^5)

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  1. brunsonni
    • one year ago
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    When multiplying exponents you multiply the constants and add the exponents so that would be 40^13

  2. anonymous
    • one year ago
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    so it would be log(40^13)?

  3. anonymous
    • one year ago
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    @brunsonni You may want to check that with a calculator... That's not quite accurate

  4. anonymous
    • one year ago
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    wait so how do i do it?

  5. anonymous
    • one year ago
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    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 :)

  6. anonymous
    • one year ago
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    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 \[\log(a^b)=b \times \log(a)\]

  7. anonymous
    • one year ago
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    Can you figure it out from here?

  8. anonymous
    • one year ago
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    wait it says to expand the problem completely

  9. anonymous
    • one year ago
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    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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