burnbird16 wrote:log_3 x^2 = 2log_3 4 - 4log_3 5

The first step is to use a

**log rule** to convert the subtraction of two logs on the right-hand side of the equation into one log containing a division.

Since you will then have "log

_{3}(one thing) = log

_{3}(another thing)", you can set (one thing) equal to (another thing) and solve the resulting

**quadratic equation**.

Don't forget, though, that you cannot have negatives inside logarithms. Only one of the quadratic equation's solutions will be valid within the original

**logarithmic equation**.