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Popular >

simplify 2ln(x)-5ln(y)

Solution

simplify

2 ln (x) - 5 ln (y)

Solution

ln (\frac{x ^{2}}{y ^{5}})

Solution steps

2 ln (x) - 5 ln (y)

Apply log rule:

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

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

= ln (x^{2}) - 5 ln (y)

Apply log rule:

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

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

= ln (x^{2}) - ln (y^{5})

Apply log rule:

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

ln (x^{2}) - ln (y^{5}) = ln (\frac{x ^{2}}{y ^{5}})

= ln (\frac{x ^{2}}{y ^{5}})

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Frequently Asked Questions (FAQ)

What is 2ln(x)-5ln(y) ?
The solution to 2ln(x)-5ln(y) is ln((x^2)/(y^5))