What is log_{3}(21)+log_{3}(10) ?

The solution to log_{3}(21)+log_{3}(10) is log_{3}(210)

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simplify log_{3}(21)+log_{3}(10)

simplify

lo g_{3} (21) + lo g_{3} (10)

lo g_{3} (210)

Decimal Notation

4.86714 \dots

Solution steps

lo g_{3} (21) + lo g_{3} (10)

Apply log rule:

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

lo g_{3} (21) + lo g_{3} (10) = lo g_{3} (21 \cdot 10)

= lo g_{3} (21 \cdot 10)

Multiply the numbers:

21 \cdot 10 = 210

= lo g_{3} (210)

6 ln (x) - 4 ln (y)

(x - y ln (y) + y ln (x)) d x + x (ln (y) - ln (x)) d y

lo g_{5} (\frac{25}{y})

lo g_{8} (x y)

ln (10) - ln (x)

What is log_{3}(21)+log_{3}(10) ?
The solution to log_{3}(21)+log_{3}(10) is log_{3}(210)