What is simplify-2/3 ln(3y) ?

The solution to simplify-2/3 ln(3y) is -2/3 ln(3)-2/3 ln(y)

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simplify-2/3 ln(3y)

simplify

- \frac{2}{3} ln (3 y)

- \frac{2}{3} ln (3) - \frac{2}{3} ln (y)

Solution steps

- \frac{2}{3} ln (3 y)

Apply log rule:

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

\frac{2}{3} ln (3 y) = \frac{2}{3} ln (3) + \frac{2}{3} ln (y)

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

Distribute parentheses

= - (\frac{2}{3} ln (3)) - (\frac{2}{3} ln (y))

Apply minus-plus rules

+ (- a) = - a

= - \frac{2}{3} ln (3) - \frac{2}{3} ln (y)

lo g_{10} (x^{5} y)

lo g_{10} (x (x^{2} + 7)^{- \frac{1}{2}})

ln (\frac{x ^{4} x ^{2} + 3}{( x + 3 ) ^{5}})

lo g_{2} (\frac{8}{x})

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

What is simplify-2/3 ln(3y) ?
The solution to simplify-2/3 ln(3y) is -2/3 ln(3)-2/3 ln(y)