What is simplify-4ln(u)+2ln(y) ?

The solution to simplify-4ln(u)+2ln(y) is ln((y^2)/(u^4))

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simplify-4ln(u)+2ln(y)

simplify

- 4 ln (u) + 2 ln (y)

ln (\frac{y ^{2}}{u ^{4}})

Solution steps

- 4 ln (u) + 2 ln (y)

Apply log rule:

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

4 ln (u) = ln (u^{4})

= - ln (u^{4}) + 2 ln (y)

Apply log rule:

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

2 ln (y) = ln (y^{2})

= - ln (u^{4}) + ln (y^{2})

Apply log rule:

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

ln (y^{2}) - ln (u^{4}) = ln (\frac{y ^{2}}{u ^{4}})

= ln (\frac{y ^{2}}{u ^{4}})

- lo g_{10} (3.4 \cdot 1 0^{- 6})

ln (85) + ln (95)

2 ln (1 + e^{x}) + 1 - 2 ln (2)

lo g_{π} (\frac{1}{3})

ln (\frac{6 ^{5}}{5 ^{7}})

What is simplify-4ln(u)+2ln(y) ?
The solution to simplify-4ln(u)+2ln(y) is ln((y^2)/(u^4))