What is log_{3}(1/(25*3*5)) ?

The solution to log_{3}(1/(25*3*5)) is -(3log_{3}(5)+1)

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simplify log_{3}(1/(2535))

simplify

lo g_{3} (\frac{1}{25 \cdot 3 \cdot 5})

- (3 lo g_{3} (5) + 1)

Decimal Notation

- 5.39492 \dots

Solution steps

lo g_{3} (\frac{1}{25 \cdot 3 \cdot 5})

Apply log rule:

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

lo g_{3} (\frac{1}{25 \cdot 3 \cdot 5}) = lo g_{3} (1) - lo g_{3} (25 \cdot 3 \cdot 5)

= lo g_{3} (1) - lo g_{3} (25 \cdot 3 \cdot 5)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{3} (25 \cdot 3 \cdot 5) = lo g_{3} (25) + lo g_{3} (3) + lo g_{3} (5)

= lo g_{3} (1) - (lo g_{3} (3) + lo g_{3} (5) + lo g_{3} (25))

lo g_{3} (1) = 0

- (lo g_{3} (25) + lo g_{3} (3) + lo g_{3} (5)) = - (3 lo g_{3} (5) + 1)

= 0 - (3 lo g_{3} (5) + 1)

0 - (3 lo g_{3} (5) + 1) = - (3 lo g_{3} (5) + 1)

= - (3 lo g_{3} (5) + 1)

- 0.14 lo g_{2} (0.14) + (- 0.86) lo g_{2} (0.86)

ln (4 x e^{- 20 x})

10 lo g_{10} (\frac{( 2.5 \cdot 1 0 ^{- 3} )}{1000}) + 40 + 59

ln (\frac{\frac{2}{3} x + 1}{\frac{2}{3} x - 1})

ln (10000) - ln (5000) + 5

What is log_{3}(1/(25*3*5)) ?
The solution to log_{3}(1/(25*3*5)) is -(3log_{3}(5)+1)