Precálculo Ejemplos

$\ln (x) = \frac{\log (x)}{\log (e)}$

Paso 1

Grafica cada lado de la ecuación. La solución es el valor x del punto de intersección.

$x \approx 0.3, \frac{3}{5}, 1.1, 1.3, \frac{7}{5}, \frac{3}{2}, 2, 2.1, \frac{11}{5}, 2.7, \frac{14}{5}, 3.1, \frac{16}{5}, 3.3, \frac{17}{5}, \frac{18}{5}, 3.7, 3.9, 4.1, \frac{21}{5}, 4.3, \frac{23}{5}, \frac{24}{5}, 4.9, 5, \frac{26}{5}, \frac{11}{2}, 5.7, \frac{29}{5}, 6, \frac{31}{5}, 6.3, \frac{33}{5}, 6.7, 7.1, \frac{36}{5}, 7.3, \frac{15}{2}, \frac{38}{5}, 7.7, 8.1, \frac{41}{5}, \frac{42}{5}, \frac{17}{2}, \frac{43}{5}, 8.7, \frac{44}{5}, 8.9, 9.9, 10, 10.1, \frac{51}{5}, \frac{21}{2}, \frac{53}{5}, \frac{54}{5}, 11.1, \frac{57}{5}, \frac{58}{5}, \frac{59}{5}, 12, 12.1, 12.3, \frac{25}{2}, 12.7, 12.8, 12.9, 13.2, 13.4, 13.6, 13.7, 14, 14.4, \frac{29}{2}, 14.6, 14.7, 14.9, 15, 15.1, 15.2, 15.3, 15.4, 15.7, 15.8, 15.9, 16, 16.2, 16.3, 17, 17.2, \frac{35}{2}, 17.6, 17.7, 17.8, 17.9, 18, 18.1, 18.2, 18.3, 18.4, 18.5, 18.6, 18.9, 19.4, 19.5, 19.7, 19.8, 19.9, 20, 20.1, 20.8, 21, 21.1, 21.2, 21.3, 21.4, 21.5, 21.7, 21.8, 22, 22.1, 22.2, 22.3, 22.4, 22.7, 22.9, 23.2, 23.3, 23.4, 23.5, 23.6, 23.9, 24, 24.1, 24.3, 24.5, 24.7, 24.9, 25, 25.1, 25.2, 25.3, 25.6, 25.7, 25.8, 25.9, 26, 26.1, 26.2, 26.4, 26.6, 26.7, 26.8, 26.9, 27, 27.1, 27.7, 27.8, 27.9, 28.5, 28.6, 28.7, 28.8, 28.9, 29.1, 29.2, 29.3, 29.4, 29.8, 30, 30.1, 30.2, 30.3, 30.4, 30.5, 30.6, 30.8, 30.9, 31, 31.2, 31.4, 31.5, 31.6, 31.7, 31.9, 32, 32.1, 32.2, 32.4, 32.5, 32.6, 32.8, 33, 33.1, 33.2, 33.3, 33.7, 33.8, 34.1, 34.2, 34.3, 34.4, 34.5, 34.7, 34.9, 35, 35.2, 35.4, 35.5, 35.6, 35.7, 35.8, 35.9, 36.1, 36.2, 36.4, 36.5, 36.6, 36.7, 36.8, 36.9, 37.1, 37.2, 37.5, 37.8, 37.9, 38.1, 38.2, 38.3, 38.4, 38.9, 39.1, 39.4, 39.5, 39.7, 39.8, 40.1, 40.2, 40.3, 40.4, 40.5, 40.7, 40.8, 40.9, 41, 41.1, 41.2, 41.3, 41.4, 41.6, 41.7, 41.9, 42.7, 42.8, 42.9, 43, 43.1, 43.2, 43.3, 43.5, 43.6, 43.7, 43.9, 44, 44.1, 44.2, 44.4, 44.5, 45, 45.1, 45.3, 45.4, 45.5, 45.7, 45.8, 45.9, 46, 46.2, 46.3, 46.5, 46.6, 46.7, 46.8, 47, 47.1, 47.2, 47.7, 47.8, 48.2, 48.3, 48.4, 48.5, 48.6, 48.7, 48.8, 49, 49.1, 49.2, 49.3, 49.4$

Paso 2

El resultado puede mostrarse de distintas formas.

Forma exacta:

Forma decimal:

$x \approx 0.3, 0.6, 1.1, 1.3, 1.4, 1.5, 2, 2.1, 2.2, 2.7, 2.8, 3.1, 3.2, 3.3, 3.4, 3.6, 3.7, 3.9, 4.1, 4.2, 4.3, 4.6, 4.8, 4.9, 5, 5.2, 5.5, 5.7, 5.8, 6, 6.2, 6.3, 6.6, 6.7, 7.1, 7.2, 7.3, 7.5, 7.6, 7.7, 8.1, 8.2, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 9.9, 10, 10.1, 10.2, 10.5, 10.6, 10.8, 11.1, 11.4, 11.6, 11.8, 12, 12.1, 12.3, 12.5, 12.7, 12.8, 12.9, 13.2, 13.4, 13.6, 13.7, 14, 14.4, 14.5, 14.6, 14.7, 14.9, 15, 15.1, 15.2, 15.3, 15.4, 15.7, 15.8, 15.9, 16, 16.2, 16.3, 17, 17.2, 17.5, 17.6, 17.7, 17.8, 17.9, 18, 18.1, 18.2, 18.3, 18.4, 18.5, 18.6, 18.9, 19.4, 19.5, 19.7, 19.8, 19.9, 20, 20.1, 20.8, 21, 21.1, 21.2, 21.3, 21.4, 21.5, 21.7, 21.8, 22, 22.1, 22.2, 22.3, 22.4, 22.7, 22.9, 23.2, 23.3, 23.4, 23.5, 23.6, 23.9, 24, 24.1, 24.3, 24.5, 24.7, 24.9, 25, 25.1, 25.2, 25.3, 25.6, 25.7, 25.8, 25.9, 26, 26.1, 26.2, 26.4, 26.6, 26.7, 26.8, 26.9, 27, 27.1, 27.7, 27.8, 27.9, 28.5, 28.6, 28.7, 28.8, 28.9, 29.1, 29.2, 29.3, 29.4, 29.8, 30, 30.1, 30.2, 30.3, 30.4, 30.5, 30.6, 30.8, 30.9, 31, 31.2, 31.4, 31.5, 31.6, 31.7, 31.9, 32, 32.1, 32.2, 32.4, 32.5, 32.6, 32.8, 33, 33.1, 33.2, 33.3, 33.7, 33.8, 34.1, 34.2, 34.3, 34.4, 34.5, 34.7, 34.9, 35, 35.2, 35.4, 35.5, 35.6, 35.7, 35.8, 35.9, 36.1, 36.2, 36.4, 36.5, 36.6, 36.7, 36.8, 36.9, 37.1, 37.2, 37.5, 37.8, 37.9, 38.1, 38.2, 38.3, 38.4, 38.9, 39.1, 39.4, 39.5, 39.7, 39.8, 40.1, 40.2, 40.3, 40.4, 40.5, 40.7, 40.8, 40.9, 41, 41.1, 41.2, 41.3, 41.4, 41.6, 41.7, 41.9, 42.7, 42.8, 42.9, 43, 43.1, 43.2, 43.3, 43.5, 43.6, 43.7, 43.9, 44, 44.1, 44.2, 44.4, 44.5, 45, 45.1, 45.3, 45.4, 45.5, 45.7, 45.8, 45.9, 46, 46.2, 46.3, 46.5, 46.6, 46.7, 46.8, 47, 47.1, 47.2, 47.7, 47.8, 48.2, 48.3, 48.4, 48.5, 48.6, 48.7, 48.8, 49, 49.1, 49.2, 49.3, 49.4$

Forma de número mixto:

$x \approx 0.3, \frac{3}{5}, 1.1, 1.3, 1 \frac{2}{5}, 1 \frac{1}{2}, 2, 2.1, 2 \frac{1}{5}, 2.7, 2 \frac{4}{5}, 3.1, 3 \frac{1}{5}, 3.3, 3 \frac{2}{5}, 3 \frac{3}{5}, 3.7, 3.9, 4.1, 4 \frac{1}{5}, 4.3, 4 \frac{3}{5}, 4 \frac{4}{5}, 4.9, 5, 5 \frac{1}{5}, 5 \frac{1}{2}, 5.7, 5 \frac{4}{5}, 6, 6 \frac{1}{5}, 6.3, 6 \frac{3}{5}, 6.7, 7.1, 7 \frac{1}{5}, 7.3, 7 \frac{1}{2}, 7 \frac{3}{5}, 7.7, 8.1, 8 \frac{1}{5}, 8 \frac{2}{5}, 8 \frac{1}{2}, 8 \frac{3}{5}, 8.7, 8 \frac{4}{5}, 8.9, 9.9, 10, 10.1, 10 \frac{1}{5}, 10 \frac{1}{2}, 10 \frac{3}{5}, 10 \frac{4}{5}, 11.1, 11 \frac{2}{5}, 11 \frac{3}{5}, 11 \frac{4}{5}, 12, 12.1, 12.3, 12 \frac{1}{2}, 12.7, 12.8, 12.9, 13.2, 13.4, 13.6, 13.7, 14, 14.4, 14 \frac{1}{2}, 14.6, 14.7, 14.9, 15, 15.1, 15.2, 15.3, 15.4, 15.7, 15.8, 15.9, 16, 16.2, 16.3, 17, 17.2, 17 \frac{1}{2}, 17.6, 17.7, 17.8, 17.9, 18, 18.1, 18.2, 18.3, 18.4, 18.5, 18.6, 18.9, 19.4, 19.5, 19.7, 19.8, 19.9, 20, 20.1, 20.8, 21, 21.1, 21.2, 21.3, 21.4, 21.5, 21.7, 21.8, 22, 22.1, 22.2, 22.3, 22.4, 22.7, 22.9, 23.2, 23.3, 23.4, 23.5, 23.6, 23.9, 24, 24.1, 24.3, 24.5, 24.7, 24.9, 25, 25.1, 25.2, 25.3, 25.6, 25.7, 25.8, 25.9, 26, 26.1, 26.2, 26.4, 26.6, 26.7, 26.8, 26.9, 27, 27.1, 27.7, 27.8, 27.9, 28.5, 28.6, 28.7, 28.8, 28.9, 29.1, 29.2, 29.3, 29.4, 29.8, 30, 30.1, 30.2, 30.3, 30.4, 30.5, 30.6, 30.8, 30.9, 31, 31.2, 31.4, 31.5, 31.6, 31.7, 31.9, 32, 32.1, 32.2, 32.4, 32.5, 32.6, 32.8, 33, 33.1, 33.2, 33.3, 33.7, 33.8, 34.1, 34.2, 34.3, 34.4, 34.5, 34.7, 34.9, 35, 35.2, 35.4, 35.5, 35.6, 35.7, 35.8, 35.9, 36.1, 36.2, 36.4, 36.5, 36.6, 36.7, 36.8, 36.9, 37.1, 37.2, 37.5, 37.8, 37.9, 38.1, 38.2, 38.3, 38.4, 38.9, 39.1, 39.4, 39.5, 39.7, 39.8, 40.1, 40.2, 40.3, 40.4, 40.5, 40.7, 40.8, 40.9, 41, 41.1, 41.2, 41.3, 41.4, 41.6, 41.7, 41.9, 42.7, 42.8, 42.9, 43, 43.1, 43.2, 43.3, 43.5, 43.6, 43.7, 43.9, 44, 44.1, 44.2, 44.4, 44.5, 45, 45.1, 45.3, 45.4, 45.5, 45.7, 45.8, 45.9, 46, 46.2, 46.3, 46.5, 46.6, 46.7, 46.8, 47, 47.1, 47.2, 47.7, 47.8, 48.2, 48.3, 48.4, 48.5, 48.6, 48.7, 48.8, 49, 49.1, 49.2, 49.3, 49.4$

Paso 3