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Nos dan : <img src="https://tex.z-dn.net/?f=3%5Ex%3D6" />Si f(x) = g(x), entonces In( f(x) ) = In( g(x) ) : <img src="https://tex.z-dn.net/?f=%5Cln%20%5Cleft%283%5Ex%5Cright%29%3D%5Cln%20%5Cleft%286%5Cright%29" />Aplicamos propiedades de los logaritmos : <img src="https://tex.

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Mariana200506
2

Nos dan : <img src="https://tex.z-dn.net/?f=3%5Ex%3D6" />Si f(x) = g(x), entonces In( f(x) ) = In( g(x) ) : <img src="https://tex.z-dn.net/?f=%5Cln%20%5Cleft%283%5Ex%5Cright%29%3D%5Cln%20%5Cleft%286%5Cright%29" />Aplicamos propiedades de los logaritmos : <img src="https://tex.z-dn.net/?f=%5Clog%20_a%5Cleft%28x%5Eb%5Cright%29%3Db%5Ccdot%20%5Clog%20_a%5Cleft%28x%5Cright%29%5C%5C%5C%5C%5Cln%20%5Cleft%283%5Ex%5Cright%29%3Dx%5Cln%20%5Cleft%283%5Cright%29%5C%5C%5C%5Cx%5Cln%20%5Cleft%283%5Cright%29%3D%5Cln%20%5Cleft%286%5Cright%29%5C%5C%5C%5C%5Cfrac%7Bx%5Cln%20%5Cleft%283%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D%3D%5Cfrac%7B%5Cln%20%5Cleft%286%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B%5Cln%20%5Cleft%286%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D" />Ahora, resolvemos lo otro : <img src="https://tex.z-dn.net/?f=g%5E%7B%5Cfrac%7B%5Cln%20%5Cleft%286%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D-1%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Cln%20%5Cleft%286%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D-%5Cfrac%7B1%5Ccdot%20%5Cln%20%5Cleft%283%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Cln%20%5Cleft%286%5Cright%29-1%5Ccdot%20%5Cln%20%5Cleft%283%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Cln%20%5Cleft%286%5Cright%29-%5Cln%20%5Cleft%283%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Cln%20%5Cleft%282%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D%5C%5C%5C%5C%3Dg%5E%7B%5Cfrac%7B%5Cln%20%5Cleft%282%5Cright%29%7D%7B%5Cln%20%5Cleft%283%5Cright%29%7D%7D" />Espero haberte ayudado.