anonymous
  • anonymous
Simplify log(10^3*x^7)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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campbell_st
  • campbell_st
start by using the log law for multiplication... \[\log_{a}(ac) = \log_{a}(b) + \log_{a}(c)\] next you need to log law for powers \[\log_{a}(b^c) = c \times \log_{a}(b)\] then if you are using base 10 logs use the law \[\log_{10}(10^a) = a \times \log_{10}(10) = a\] hope this helps
anonymous
  • anonymous
So, is it 3x^7?
campbell_st
  • campbell_st
not quite its 3 + 7log(x)

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anonymous
  • anonymous
Do you think you could walk me through it again? Im still not really understanding it
campbell_st
  • campbell_st
ok... multiplication law \[\log(10^3) + \log(x^7)\] power law \[3 \log(10) + 7 \log(x)\] lastly same base \[3 + 7 \log(x)\]
anonymous
  • anonymous
Oh dude, thank you. I got it now. You're awesome.

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