Maddy1251
  • Maddy1251
What would log(10^3x^7)= ? Would it be 3+7log(x)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Maddy1251
  • Maddy1251
\[\log(10^{3}x^{7})\]
Nnesha
  • Nnesha
no first apply product rule and then power rule
Nnesha
  • Nnesha
product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\] addition <----> multiplication power rule \[\large\rm log_b x^y = y \log_b x\]

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Maddy1251
  • Maddy1251
\[so 3\log(10)+7\log(x) \]
Maddy1251
  • Maddy1251
Oh
Nnesha
  • Nnesha
yes looks good
Maddy1251
  • Maddy1251
Would that then be \[21\log(x)\]
Nnesha
  • Nnesha
no hmm you can't multiply 3 and 7
Maddy1251
  • Maddy1251
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Maddy1251
  • Maddy1251
See none of these look right to me, unless I am forgetting something.
Nnesha
  • Nnesha
huh hmm
Maddy1251
  • Maddy1251
3+7log(x) was the only one I thought could be possible..Even thought I knew it wasn't right, not like what we wrote above.
anonymous
  • anonymous
log10= 1
Maddy1251
  • Maddy1251
@ArifL so the 3 log(10) would be 3 (1)?
anonymous
  • anonymous
yup
Maddy1251
  • Maddy1251
1+7log(x)?
anonymous
  • anonymous
what is 3x1
Maddy1251
  • Maddy1251
oh 3.. haha 3+7log(x)
Maddy1251
  • Maddy1251
@ArifL Thank you! :D
anonymous
  • anonymous
welcome

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