Tiene la expresión general:[b] [i]y=log[sub]a[/sub]x[/i][/b] , siendo[b] [i]a>1[/i][/b] la base. Es la función inversa de la función exponencial. [br][list][*]Es continua.[/*][*]Está definida para todo R[sup]+[/sup] , es decir, su dominio es [sub][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADcAAAAVCAIAAABt3eEsAAABGElEQVRIidWW0WHDMAhEby4GYh6mYRmGaT8SVSCQartO1NxXDHL0hM5I+PoEIUWUWTeALKfHOAZbGScMiPkxbUIAgDezjyCO0oQGFuWG13+9R8ok1h/hEgOHCbmIMsKLC+XlXsH0NHDhSGFCPjI8XqJs/iExZ6Zyl2KJUEaf2CFyfNMnlD2sTMyEtmoTyusPVUMPvpjShDuKcihhyBXTHaY0oSWlMmq1d0xE/ehQPpWLlHf70tdrKOUfKKNVT0D+6ssHI/eveOg7c8qSou/LqX4570TNFo9//TFJNbr8eib9sDh7nqEF8x39su5EZ4/wbKR7Nenqx0uQrP8CTU/InNunxW2jSm9Rhki34N03zHL+fFf/j/oMym9gyz0GuE38FwAAAABJRU5ErkJggg==[/img][/sub][/*][*]Su recorrido es todo R[/*][*]Pasa por los puntos (1, 0) y ([i]a[/i], 1)[/*][*]Crece si [b][i]a>1[/i][/b] [/*][*]Decrece si [b][i]0[/i][/b][i][br][/i][/*][/list][i][br][img]data:image/png;base64,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[/img][br][i][color=#1e84cc][b][u]NOTAS:[/u][/b] [/color][/i][br][br][list][*]Cuando la base es el número [b][i]e[/i][/b], se escribe [i]y =[/i] [b][i]ln [/i][/b]x (logaritmo neperiano)[/*][/list][br][list][*]Recuerda que [i]log[sub]a[/sub]x=y[/i] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAAOCAIAAABPZMCZAAAAYklEQVQokc2RwQ3AMAgDPRcDMQ/TsAzDkEelKiklNOJTPyEHxoH3hP/xyiCxb9XAJ8/c3U0IrDteGbXW8TdvQs9eZgKTDZS294ec7r9uDPunXqU1wpf8Y8jRdsp78/9P1eUHfUjw3pnNjJ4AAAAASUVORK5CYII=[/img] [i]a[sup]y[/sup]=x[/i][/*][/list][br][br][color=#1e84cc][b][u]Aplicaciones de la función logarítmica[/u][/b][br][/color][br][b]Escalas de intensidad sísmica[/b]: Las escalas de medida de la intensidad de los terremotos más[br]comúnmente utilizadas son de tipo logarítmico. Así, la escala de Richter utiliza una escala logarítmica de base 10, con lo que cada aumento de grado en esta escala no se corresponde con un aumento lineal de la magnitud de un seísmo, sino exponencial: un terremoto de grado seis es diez veces menos[br]intenso que uno de grado siete, y cien veces menos que uno de grado ocho.[br]La magnitud M en la escala de Richter se define como: [sub][img]data:image/png;base64,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[/img][/sub][br]Se ha convenido en estandarizar la energía por E[sub]0[/sub]=10[sup]4,4[/sup] joules, que corresponde a la energía liberada por un leve movimiento.[/i]