What is ln(6/(2*pi*0.2)) ?

The solution to ln(6/(2*pi*0.2)) is ln(6)-ln(2)-ln(pi)-ln(0.2)

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simplify ln(6/(2pi0.2))

simplify

ln (\frac{6}{2 \cdot π \cdot 0.2})

ln (6) - ln (2) - ln (π) - ln (0.2)

Decimal Notation

1.56332 \dots

Solution steps

ln (\frac{6}{2 π 0.2})

Apply log rule:

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

ln (\frac{6}{2 π 0.2}) = ln (6) - ln (2 π 0.2)

= ln (6) - ln (2 \cdot 0.2 π)

Apply log rule:

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

ln (2 π 0.2) = ln (2) + ln (π) + ln (0.2)

= ln (6) - (ln (2) + ln (π) + ln (0.2))

- (ln (2) + ln (π) + ln (0.2)) : - ln (2) - ln (π) - ln (0.2)

= ln (6) - ln (2) - ln (π) - ln (0.2)

\frac{lo g _{10} ( a c ) + 2 lo g _{10} ( b )}{4}

ln (\frac{e ^{2 y} x y}{x ^{3}})

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

4 ln (2) - 4 ln (2 x)

ln (3) + ln (2) ln (6)

What is ln(6/(2*pi*0.2)) ?
The solution to ln(6/(2*pi*0.2)) is ln(6)-ln(2)-ln(pi)-ln(0.2)