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Popular >

simplify 10ln(u)-2ln(v)

Solution

simplify

10 ln (u) - 2 ln (v)

Solution

ln (\frac{u ^{10}}{v ^{2}})

Solution steps

10 ln (u) - 2 ln (v)

Apply log rule:

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

10 ln (u) = ln (u^{10})

= ln (u^{10}) - 2 ln (v)

Apply log rule:

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

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

= ln (u^{10}) - ln (v^{2})

Apply log rule:

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

ln (u^{10}) - ln (v^{2}) = ln (\frac{u ^{10}}{v ^{2}})

= ln (\frac{u ^{10}}{v ^{2}})

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Frequently Asked Questions (FAQ)

What is 10ln(u)-2ln(v) ?
The solution to 10ln(u)-2ln(v) is ln((u^{10})/(v^2))