What is simplify-ln(x^5y^5) ?

The solution to simplify-ln(x^5y^5) is -5ln(x)-5ln(y)

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simplify-ln(x^5y^5)

simplify

- ln (x^{5} y^{5})

- 5 ln (x) - 5 ln (y)

Solution steps

- ln (x^{5} y^{5})

Apply log rule:

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

ln (x^{5} y^{5}) = ln (x^{5}) + ln (y^{5})

= - (ln (x^{5}) + ln (y^{5}))

Apply log rule:

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

ln (x^{5}) = 5 ln (x)

= - (5 ln (x) + ln (y^{5}))

Apply log rule:

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

ln (y^{5}) = 5 ln (y)

= - (5 ln (x) + 5 ln (y))

Distribute parentheses

= - (5 ln (x)) - (5 ln (y))

Apply minus-plus rules

+ (- a) = - a

= - 5 ln (x) - 5 ln (y)

- lo g_{10} (3.33 \cdot 1 0^{- 12})

ln (\frac{759.4}{1.407})

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

ln (x + 2) + ln (x - 2) - 3 ln (x) b

2 lo g_{32} (18)

What is simplify-ln(x^5y^5) ?
The solution to simplify-ln(x^5y^5) is -5ln(x)-5ln(y)