Guia Ecuaciones Logartimicas

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ECUACIONES LOGARÍTMICAS

Determina el valor de x en las siguientes ecuaciones: 1) log 4x = 3log 2 + 4log 3 2) log (2x-4) = 2 3) 4log (3 - 2x) = -1 4) log (x + 1) + log x = log (x + 9) 5) log (x + 3) = log 2 - log (x + 2) 6) log (x2 + 15) = log (x + 3) + log x 7) 2log (x + 5) = log (x + 7) 8)

log x − 1 = log( x + 1) − log x + 4

9)

log(7 + x 2 ) =2 log( x − 4)

10) 2log (3x - 4) = log 100 + log (2x + 1)2 11) log2 (x2 - 1) - log2 (x + 1) = 2 12) log2x - 3log x = 2 13) 23x-1 = 3x+2 14) 52x-3 = 22-4x 15) log (x - a) - log (x + a) = log x - log (x -a)

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