[b]Example 1[br][/b] [br][img]https://www.matesfacil.com/ESO/logaritmos/slog1.png[/img][br][br]We apply the change of variable[br][br][img]https://www.matesfacil.com/ESO/logaritmos/slog1-01.png[/img][br][br]This way we obtain the following linear equation system[br][br][img]https://www.matesfacil.com/ESO/logaritmos/slog1-02.png[/img][br][br]we resolve it and we undo the cange of variable:[br][br][img]https://www.matesfacil.com/ESO/logaritmos/slog1-03.png[/img]

[b]Example 2[br][br][/b][b][img]https://www.matesfacil.com/ESO/logaritmos/slog9.png[/img][br][br][/b]First we apply the property [i]logarithm of a product[/i]:[br][br][img]https://www.matesfacil.com/ESO/logaritmos/slog9-01.png[/img][br][br]We apply the change of variable:[br][br][img]https://www.matesfacil.com/ESO/logaritmos/slog9-02.png[/img][br][br]and we obtain the following system:[br][br][img]https://www.matesfacil.com/ESO/logaritmos/slog9-03.png[/img][br][br]that has as solution:[br][br][img]https://www.matesfacil.com/ESO/logaritmos/slog9-04.png[/img][br][br]Finally, we undo the change of variable:[br][br][img]https://www.matesfacil.com/ESO/logaritmos/slog9-05.png[/img][br][br]We do not need to check the solutions.