What is simplify-log_{3}(4a)+log_{3}(-4a) ?

The solution to simplify-log_{3}(4a)+log_{3}(-4a) is Undefined

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simplify-log_{3}(4a)+log_{3}(-4a)

simplify

- lo g_{3} (4 a) + lo g_{3} (- 4 a)

Undefined

Solution steps

- lo g_{3} (4 a) + lo g_{3} (- 4 a)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{3} (- 4 a) - lo g_{3} (4 a) = lo g_{3} (\frac{- 4 a}{4 a})

= lo g_{3} (\frac{- 4 a}{4 a})

\frac{- 4 a}{4 a} = - 1

= lo g_{3} (- 1)

lo g_{a} (b), b < 0 is undefined

= Undefined

4 ln (2) + 3 ln (x) - \frac{1}{2} ln (x + 3)

lo g_{10} (x) + 6 lo g_{10} (x + 7)

lo g_{10} (0.401) - lo g_{10} (0.8)

lo g_{4} (7 x y)

7 (lo g_{4} (3) + lo g_{4} (y)) - lo g_{4} (2)

What is simplify-log_{3}(4a)+log_{3}(-4a) ?
The solution to simplify-log_{3}(4a)+log_{3}(-4a) is Undefined