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 "log3
(one thing) = log3
(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