erebaker
erebaker erebaker
  • 16-04-2021
  • Mathematics
contestada

solve: log3(x)+log3(x-2)=log3(x+10)​

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hnori22003
hnori22003 hnori22003
  • 16-04-2021

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

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