clara1223
  • clara1223
question in comments (logarithmic question)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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clara1223
  • clara1223
\[\log _{4}(8-x)=3\] a) 56 b) -56 c) -73 d) 4 e) 72
Nnesha
  • Nnesha
convert log to exponential form example |dw:1437344474349:dw|
clara1223
  • clara1223
@Nnesha thanks! got it.

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Nnesha
  • Nnesha
are you sure?? let me know plz
clara1223
  • clara1223
@Nnesha could you help me with some other logarithmic questions? #1: ln(x)+7=12 a) e^(12)-7 b)5^e c) e^(7)-12 d) 5 e) e^5 #2: \[\log _{2}(x)+\log _{2}(x-4)=\log _{2}(12)\] a) x=-2, x=6 b) x=0, x=4 c) x=2, x=-6 d) x=6 e) x=-2
Nnesha
  • Nnesha
alright okay so first one how would you cancel out ln?? do you know?
clara1223
  • clara1223
no, can you explain it to me?
Nnesha
  • Nnesha
okay to cancel out ln you have to take e both side example \[\huge\rm \cancel{e^{\ln}} x = x\]
Nnesha
  • Nnesha
for example in this question i have to solve for x ln x = 3 so i would take ln both sides \[\huge\rm \color{red}{e}^{\ln} x= \color{ReD}{e}^3\] \[\huge\rm \cancel {\color{red}{e}^{\ln}} x= \color{ReD}{e}^3\] answer is x = e^3
clara1223
  • clara1223
@Nnesha awesome! now could you help me with the last one?
Nnesha
  • Nnesha
you have to apply log property there
clara1223
  • clara1223
what's log property?
Nnesha
  • Nnesha
mhm you can start log questions without knowing property! :)quotient rule\[\huge\rm log_b y - \log_b x = \log_b \frac{ x }{ y}\] to condense you can change subtraction to division product rule \[\huge\rm log_b x + \log_b y = \log_b( x \times y )\] addition ----> multiplication
clara1223
  • clara1223
okay so once i have \[\log _{2}(x ^{2}-4x)=\log _{2}(12)\] what do I do?
Nnesha
  • Nnesha
nice so there are same bases both sides you can cancel each other ot \[\huge\rm \color{ReD}{log_b }x = \color{red}{\log_b} y \] \[\huge\rm\cancel{ \color{ReD}{log_b }}x = \cancel{\color{red}{\log_b}} y \] x=y
clara1223
  • clara1223
@Nnesha got it! thanks so much for all the help!
Nnesha
  • Nnesha
my pleasure

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