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Rainbow_Dash
 3 years ago
log(2) (12b21)  log(2) (b^2  3) = 2
Rainbow_Dash
 3 years ago
log(2) (12b21)  log(2) (b^2  3) = 2

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ProgramGuru
 3 years ago
Best ResponseYou've already chosen the best response.0\[\log_{2}((12b1)/ (b ^{2}3))=2\log_{2}2 \] \[(12b3)/(b ^{2}3)=4\] Now solve the quadratic to get value of b!

ProgramGuru
 3 years ago
Best ResponseYou've already chosen the best response.0sorry it will be 12b21

Wired
 3 years ago
Best ResponseYou've already chosen the best response.2Log Quotient Rule: \[\Large \log_{b}({A/C}) = \log_{b}A − \log_{b}C\] Applying that gets you: \[\Large \log_{2}{(12b21)}\log_{2}{(b^{2}3)}=2\] \[\Large \log_{2}{\frac{(12b21)}{(b^{2}3)}}=2\] \[\Large x=c^{y}\] \[\Large log_{c}{x}=y\] \[\Large X = \frac{(12b21)}{(b^{2}3)}\] \[\Large Y = 2\] \[\Large C = 2\] \[\Large 2^{2} = \frac{(12b21)}{(b^{2}3)}\] \[\Large 4b^{2}12= 12b21\] \[\Large 4b^{2}12= 12b21\] \[\Large 4b^{2}12b+9=0\]
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