What is log_{3}(5/(ln(3))) ?

The solution to log_{3}(5/(ln(3))) is log_{3}(5)-log_{3}(ln(3))

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simplify log_{3}(5/(ln(3)))

simplify

lo g_{3} (\frac{5}{ln ( 3 )})

lo g_{3} (5) - lo g_{3} (ln (3))

Decimal Notation

1.37936 \dots

Solution steps

lo g_{3} (\frac{5}{ln ( 3 )})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{3} (\frac{5}{ln ( 3 )}) = lo g_{3} (5) - lo g_{3} (ln (3))

= lo g_{3} (5) - lo g_{3} (ln (3))

ln (x) + ln (y^{2})

\frac{1}{4} \cdot ln (3)

- lo g_{10} (2 x 1 0^{- 4})

ln (y) - 4 ln (x)

- ln (y) + ln (y - 1)

What is log_{3}(5/(ln(3))) ?
The solution to log_{3}(5/(ln(3))) is log_{3}(5)-log_{3}(ln(3))