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Popular >

simplify 5ln(u)-ln(v)

Solution

simplify

5 ln (u) - ln (v)

Solution

ln (\frac{u ^{5}}{v})

Solution steps

5 ln (u) - ln (v)

Apply log rule:

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

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

= ln (u^{5}) - ln (v)

Apply log rule:

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

ln (u^{5}) - ln (v) = ln (\frac{u ^{5}}{v})

= ln (\frac{u ^{5}}{v})

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Frequently Asked Questions (FAQ)

What is 5ln(u)-ln(v) ?
The solution to 5ln(u)-ln(v) is ln((u^5)/v)