Solved Examples of Logarithmic equations

2. Equations

logarithmic equation is an equation that has an unknown factor in the argument of a logarithm. 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...). 
Example 1 We will use the properties of logarithms and that  We have an equality between logarithms, so the arguments (what is inside) has to be the same:  The solution to the equation is x = 50.
Example 2