What is ln(-3e^{1/3}) ?

The solution to ln(-3e^{1/3}) is ln(3)+1/3

Popular >

simplify ln(-3e^{1/3})

simplify

ln (- 3 e^{\frac{1}{3}})

ln (3) + \frac{1}{3}

Decimal Notation

1.43194 \dots

Solution steps

ln (- 3 e^{\frac{1}{3}})

Apply log rule:

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

ln (- 3 e^{\frac{1}{3}}) = ln (3) + ln (e^{\frac{1}{3}})

= ln (3) + ln (e^{\frac{1}{3}})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{\frac{1}{3}}) = \frac{1}{3} ln (e)

= ln (3) + \frac{1}{3} ln (e)

\frac{1}{3} ln (e) = \frac{1}{3}

= ln (3) + \frac{1}{3}

2 lo g_{3} (x) - 6 lo g_{3} (y)

ln (\frac{( x + 2 )}{( x ^{2} + 7 x + 12 )})

ln (\frac{( x ^{2} + 1 ) ( x ^{4} + x ^{2} + 1 )}{x ^{4} + 1})

ln (C e^{\frac{Q}{RT}})

0.55 - \frac{0.591}{1} \cdot lo g_{10} (\frac{0.038}{0.306})