anonymous
  • anonymous
Solve for x. logx+log(x-15)=2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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hartnn
  • hartnn
hello :) what did you try?? tried combining those 2 logs?
anonymous
  • anonymous
I know what you have to do, however, I am not sure how to do it :(
anonymous
  • anonymous
I don't know how to combine the logs

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More answers

hartnn
  • hartnn
\(\log A + \log B = \log AB \) so how about log x + log (x-15) ?
anonymous
  • anonymous
is it 20?
hartnn
  • hartnn
you're asking if x = 20 ? how did you do all the steps so fast! :O
anonymous
  • anonymous
I've been working on this problem for a really long time and I wasn't sure if I was doing the steps right so I posted on here. I think the answer is 20...I don't know what else it could be :(
hartnn
  • hartnn
oh great! you've tried some steps... can you post them here, we'll correct then if required.
anonymous
  • anonymous
Oh boy... I don't know where to begin! I'll write the most recent steps I've tried...one moment
anonymous
  • anonymous
I used the formula \[a=\log _{b}(b ^{a})\]
anonymous
  • anonymous
\[2= \log _{10}(10^2)\]
hartnn
  • hartnn
for the right side? so, \(2 = \log 10^2 \)
hartnn
  • hartnn
but for the left side we will need the formula I posted :)
hartnn
  • hartnn
\(\log x + \log(x-15) = \log x\times(x-15) \\= \log 10^2\)
anonymous
  • anonymous
\[\log _{10}(x)+\log _{10}(x-15)=\log _{10}(10^2)\]
hartnn
  • hartnn
good
anonymous
  • anonymous
\[\log _{10}(x(x-15))=\log _{10}(10^2)\]
hartnn
  • hartnn
you get how \(\Large \log x + \log (x-15) = \log [x\times (x-15)]\) basically just a log property
anonymous
  • anonymous
and the answeres are x=20 and x=-5 but we cant have a negative log so it must be 20
hartnn
  • hartnn
if log A = log B, then A = B what that says is that you can just cancel out log on both sides! so we have x(x-15) = 10^2 got this?
anonymous
  • anonymous
yes I just skipped the last steps at the end because they were really small and by then I already figured out my answers :)
hartnn
  • hartnn
oh you solved it completely. excellent! x =20 is correct :)
anonymous
  • anonymous
Thanks @hartnn , I appreciate your time :)
hartnn
  • hartnn
welcome ^_^ happy to help :)

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