What is join (5ln(-1))/6-3 1/3 ?

The solution to join (5ln(-1))/6-3 1/3 is (ln(-1))/6-3 1/3

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join (5ln(-1))/6-3 1/3

join

\frac{5 ln ( - 1 )}{6} - 3 \frac{1}{3}

\frac{ln ( - 1 )}{6} - 3 \frac{1}{3}

Solution steps

\frac{5 ln ( - 1 )}{6} - 3 \frac{1}{3}

Convert mixed numbers to improper fractions:

3 \frac{1}{3} = \frac{10}{3}

= \frac{5 ln ( - 1 )}{6} - \frac{10}{3}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (- 1) = ln ((- 1)^{5})

= \frac{ln ( ( - 1 ) ^{5} )}{6} - \frac{10}{3}

ln ((- 1)^{5}) = ln (- 1)

= \frac{ln ( - 1 )}{6} - \frac{10}{3}

Convert improper fractions to mixed numbers:

\frac{10}{3} = 3 \frac{1}{3}

= \frac{ln ( - 1 )}{6} - 3 \frac{1}{3}

\frac{1}{5} (6 ln (5) - ln (2))

ln (8) + ln (25)

ln (20 t)

3 ln (x) - \frac{1}{9} ln (z) + 2 ln (y)

ln (20.35) - ln (- 147.65)

What is join (5ln(-1))/6-3 1/3 ?
The solution to join (5ln(-1))/6-3 1/3 is (ln(-1))/6-3 1/3