Math, asked by purveshgarud077, 11 months ago

log4x+log4(x-12)=3 solve


Answers

Answered by abhinavscientist
6

Step-by-step explanation:

 log(4x)  +  log(4(x - 12))  = 3 \\  log(4x) +  log(4x )  -  log(48 ) \\  log(16 {x}^{2} )  -  log(48)  = 3 \\   log( {16x}^{2} )  \div 48 = 3 \\  log( {x}^{2} )  \div 3 = 3 \\ removing \: log \\  {x}^{2}  \div 3 =   {10}^{3 }  \\ x =  \sqrt{1000 \div 3 }   \\  = 10( \sqrt{10 \div 3)}

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