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Mathematics
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Log5 12=log5 x
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hint \[\huge\rm log_b x = \log_b y\] \[\huge\rm\cancel { log_b} x = \cancel{\log_b} y\] x=y
wow... x = y.... that shortens the alphabet...
bases are same so you can cancels them
mhmmmm............ ?
let \[\log_{5} 12=y,\] \[5^{y}=12,\log 5^y=\log 12,y \log 5=\log 12,y=\frac{ \log 12 }{ \log 5 }\] \[\log_{5} x=y,5^y=x,\log 5^y=\log x,ylog 5=\log x,y=\frac{ \log x }{ \log 5 }\] \[\frac{ \log x }{ \log 5 }=\frac{ \log12 }{ \log 5 }\] log x=log 12 x=12
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