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Popular >

simplify 9ln(x)-3ln(y)

Solution

simplify

9 ln (x) - 3 ln (y)

Solution

ln (\frac{x ^{9}}{y ^{3}})

Solution steps

9 ln (x) - 3 ln (y)

Apply log rule:

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

9 ln (x) = ln (x^{9})

= ln (x^{9}) - 3 ln (y)

Apply log rule:

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

3 ln (y) = ln (y^{3})

= ln (x^{9}) - ln (y^{3})

Apply log rule:

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

ln (x^{9}) - ln (y^{3}) = ln (\frac{x ^{9}}{y ^{3}})

= ln (\frac{x ^{9}}{y ^{3}})

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Frequently Asked Questions (FAQ)

What is 9ln(x)-3ln(y) ?
The solution to 9ln(x)-3ln(y) is ln((x^9)/(y^3))