What is 7/5 ln^{5/7}(1/2) ?

The solution to 7/5 ln^{5/7}(1/2) is -7/5 ln^{5/7}(2)

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simplify 7/5 ln^{5/7}(1/2)

simplify

\frac{7}{5} ln^{\frac{5}{7}} (\frac{1}{2})

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

Decimal Notation

- 1.07753 \dots

Solution steps

\frac{7}{5} ln^{\frac{5}{7}} (\frac{1}{2})

Apply log rule:

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

ln^{\frac{5}{7}} (\frac{1}{2}) = ln^{\frac{5}{7}} (1) - ln^{\frac{5}{7}} (2)

= \frac{7}{5} (ln^{\frac{5}{7}} (1) - ln^{\frac{5}{7}} (2))

ln^{\frac{5}{7}} (1) = 0

= \frac{7}{5} (- ln^{\frac{5}{7}} (2) + 0)

0 - ln^{\frac{5}{7}} (2) = - ln^{\frac{5}{7}} (2)

= \frac{7}{5} (- ln^{\frac{5}{7}} (2))

Remove parentheses:

(- a) = - a

= - \frac{7}{5} ln^{\frac{5}{7}} (2)

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What is 7/5 ln^{5/7}(1/2) ?
The solution to 7/5 ln^{5/7}(1/2) is -7/5 ln^{5/7}(2)