What is 1/20 ln(2/(1.5(20))) ?

The solution to 1/20 ln(2/(1.5(20))) is 1/20 (ln(2)-ln(30))

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simplify 1/20 ln(2/(1.5(20)))

simplify

\frac{1}{20} ln (\frac{2}{1.5 ( 20 )})

\frac{1}{20} (ln (2) - ln (30))

Decimal Notation

- 0.13540 \dots

Solution steps

\frac{1}{20} ln (\frac{2}{1.5 ( 20 )})

Apply log rule:

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

ln (\frac{2}{1.5 ( 20 )}) = ln (2) - ln (1.5 (20))

= \frac{1}{20} (ln (2) - ln (20 \cdot 1.5))

Multiply the numbers:

1.5 \cdot 20 = 30

= \frac{1}{20} (ln (2) - ln (30))

2 \cdot lo g_{10} (2) + lo g_{10} (0.12)

ln (x) + ln (e^{- x})

ln (\frac{d ^{2} + 3 h ^{2}}{6 h})

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

- ln (x) + ln (\frac{2 y + x}{x})

What is 1/20 ln(2/(1.5(20))) ?
The solution to 1/20 ln(2/(1.5(20))) is 1/20 (ln(2)-ln(30))