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

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

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

simplify

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

lo g_{3} (28)

Decimal Notation

3.03310 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

4 \cdot 7 = 28

= lo g_{3} (28)

lo g_{10} (\frac{x ^{2} y ^{4}}{z ^{3}})

ln (\frac{53}{7})

ln (11) - 3 ln (2)

lo g_{10} (x^{4} y^{5})

ln (1) + ln (15) + ln (120) + ln (680)

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