What is 1/3 ln(10/3)*15+ln(1/10) ?

The solution to 1/3 ln(10/3)*15+ln(1/10) is 1/3 ln(10/3)*15++ln(1)-ln(10)

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simplify 1/3 ln(10/3)*15+ln(1/10)

simplify

\frac{1}{3} ln (\frac{10}{3}) \cdot 15 + ln (\frac{1}{10})

\frac{1}{3} ln (\frac{10}{3}) \cdot 15 + + ln (1) - ln (10)

Decimal Notation

3.71727 \dots

Solution steps

\frac{1}{3} ln (\frac{10}{3}) \cdot 15 + ln (\frac{1}{10})

Apply log rule:

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

ln (\frac{1}{10}) = ln (1) - ln (10)

= 15 \cdot \frac{1}{3} ln (\frac{10}{3}) + + ln (1) - ln (10)

ln^{2} (t) + ln (t)

ln (x^{8} e^{- x (4.28 \cdot 1 0^{- 5})})

3 lo g_{2} (x) - 2 lo g_{2} (y) + lo g_{2} (z)

\frac{d x}{x} (d x) - \frac{1}{y} (1 - ln (x) - ln (y))

ln (\frac{2 ^{5}}{3 ^{7}})

What is 1/3 ln(10/3)*15+ln(1/10) ?
The solution to 1/3 ln(10/3)*15+ln(1/10) is 1/3 ln(10/3)*15++ln(1)-ln(10)