What is log_{3}(5)+log_{3}(10) ?

The solution to log_{3}(5)+log_{3}(10) is log_{3}(50)

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simplify log_{3}(5)+log_{3}(10)

simplify

lo g_{3} (5) + lo g_{3} (10)

lo g_{3} (50)

Decimal Notation

3.56087 \dots

Solution steps

lo g_{3} (5) + lo g_{3} (10)

Apply log rule:

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

lo g_{3} (5) + lo g_{3} (10) = lo g_{3} (5 \cdot 10)

= lo g_{3} (5 \cdot 10)

Multiply the numbers:

5 \cdot 10 = 50

= lo g_{3} (50)

ln (\frac{e ^{9}}{5})

lo g_{3} (6 c) + lo g_{3} (\frac{1}{12})

- \frac{1}{45} ln (\frac{18 - ( - 7 )}{22 - ( - 7 )})

6000 ln (100) - 6000 ln (50)

lo g_{3} (147) - lo g_{3} (70) - lo g_{3} (189)

What is log_{3}(5)+log_{3}(10) ?
The solution to log_{3}(5)+log_{3}(10) is log_{3}(50)