What is log_{3}(7)+log_{3}(4) ?

The solution to log_{3}(7)+log_{3}(4) is log_{3}(28)

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simplify log_{3}(7)+log_{3}(4)

simplify

lo g_{3} (7) + lo g_{3} (4)

lo g_{3} (28)

Decimal Notation

3.03310 \dots

Solution steps

lo g_{3} (7) + lo g_{3} (4)

Apply log rule:

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

lo g_{3} (7) + lo g_{3} (4) = lo g_{3} (7 \cdot 4)

= lo g_{3} (7 \cdot 4)

Multiply the numbers:

7 \cdot 4 = 28

= lo g_{3} (28)

ln (\frac{1}{e ^{2}}) + ln (2 e)

\frac{1}{3} [2 ln (x + 5) - ln (x) - ln (x^{2} - 4)]

lo g_{3} (7) + lo g_{3} (5)

\frac{1}{2} lo g_{6} (9) + lo g_{6} (5)

2 lo g_{b} (y) + 6 lo g_{b} (z)

What is log_{3}(7)+log_{3}(4) ?
The solution to log_{3}(7)+log_{3}(4) is log_{3}(28)