A [b]logarithmic equation[/b] is an equation that has an unknown factor in the [b]argument of a logarithm[/b]. In reality, the resolution is reduced to the resolution of equations of the same type as the expressions in the arguments (quadratic equations, cubic equations, irrational equations...). 

[b]Example 1[br][br][/b][b][img]https://www.matesfacil.com/ESO/logaritmos/elog1.png[/img][br][br][/b]We will use the properties of logarithms and that [math]log\left(1000\right)=log\left(10^3\right)=3.[/math][br][br][img]https://www.matesfacil.com/ESO/logaritmos/elog1-01.png[/img][br][br]We have an equality between logarithms, so the arguments (what is inside) has to be the same:[br][br][img]https://www.matesfacil.com/ESO/logaritmos/elog1-02.png[/img][br][br]The solution to the equation is [i]x = 50[/i].

[b]Example 2[br][br][/b][img]https://www.matesfacil.com/ESO/logaritmos/elog6.png[/img][br][br][img]https://www.matesfacil.com/ESO/logaritmos/elog6-1.png[/img]