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Popular >

simplify ln(u)-2ln(v)

Solution

simplify

ln (u) - 2 ln (v)

Solution

ln (\frac{u}{v ^{2}})

Solution steps

ln (u) - 2 ln (v)

Apply log rule:

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

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

= ln (u) - ln (v^{2})

Apply log rule:

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

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

= ln (\frac{u}{v ^{2}})

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Frequently Asked Questions (FAQ)

What is ln(u)-2ln(v) ?
The solution to ln(u)-2ln(v) is ln(u/(v^2))