What is log_{3}(4x)+log_{3}(x/9) ?

The solution to log_{3}(4x)+log_{3}(x/9) is log_{3}((4x^2)/9)

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simplify log_{3}(4x)+log_{3}(x/9)

simplify

lo g_{3} (4 x) + lo g_{3} (\frac{x}{9})

lo g_{3} (\frac{4 x ^{2}}{9})

Solution steps

lo g_{3} (4 x) + lo g_{3} (\frac{x}{9})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{3} (4 x) + lo g_{3} (\frac{x}{9}) = lo g_{3} (4 x \frac{x}{9})

= lo g_{3} (4 x \frac{x}{9})

Simplify

4 x \frac{x}{9} : \frac{4 x ^{2}}{9}

= lo g_{3} (\frac{4 x ^{2}}{9})

ln (5 (7))

lo g_{b} (\frac{a}{c})

f (x) lo g_{3} (x - 1) + lo g_{3} (2 x) + 3

\frac{ln ( \frac{344611}{167555} )}{4 ln ( 10 )}

lo g_{10} (\frac{214}{2.2}) + 2.5

What is log_{3}(4x)+log_{3}(x/9) ?
The solution to log_{3}(4x)+log_{3}(x/9) is log_{3}((4x^2)/9)