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

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

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

simplify

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

ln (\frac{y ^{5}}{x ^{5}})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

ln (y^{5}) - ln (x^{5}) = ln (\frac{y ^{5}}{x ^{5}})

= ln (\frac{y ^{5}}{x ^{5}})

ln (10) - ln (4)

9 ln (x) - 6 ln (y)

\frac{1}{4} lo g_{a} (M) - 3 lo g_{a} (Q)

ln (f (- 1))

lo g_{10} (\frac{1}{2 π k ^{2}})

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