What is log_{3}(1/10)+log_{3}(50) ?

The solution to log_{3}(1/10)+log_{3}(50) is log_{3}(5)

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simplify log_{3}(1/10)+log_{3}(50)

simplify

lo g_{3} (\frac{1}{10}) + lo g_{3} (50)

lo g_{3} (5)

Decimal Notation

1.46497 \dots

Solution steps

lo g_{3} (\frac{1}{10}) + lo g_{3} (50)

Apply log rule:

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

lo g_{3} (\frac{1}{10}) + lo g_{3} (50) = lo g_{3} (\frac{1}{10} \cdot 50)

= lo g_{3} (\frac{1}{10} \cdot 50)

\frac{1}{10} \cdot 50 = 5

= lo g_{3} (5)

ln (\frac{( 0.132 \cdot 1 0 ^{- 3} ) ( 47 \cdot 1 0 ^{3} )}{10})

lo g_{8} (7 x^{4})

ln (x) + ln (x - 5)

lo g_{4} (\frac{x ^{2}}{y ^{2} z ^{7}})

4 (ln (3) - ln (2)) + 6 (ln (7) - ln (6))

What is log_{3}(1/10)+log_{3}(50) ?
The solution to log_{3}(1/10)+log_{3}(50) is log_{3}(5)