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Popular >

simplify 8ln(x)-3ln(y)

Solution

simplify

8 ln (x) - 3 ln (y)

Solution

ln (\frac{x ^{8}}{y ^{3}})

Solution steps

8 ln (x) - 3 ln (y)

Apply log rule:

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

8 ln (x) = ln (x^{8})

= ln (x^{8}) - 3 ln (y)

Apply log rule:

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

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

= ln (x^{8}) - ln (y^{3})

Apply log rule:

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

ln (x^{8}) - ln (y^{3}) = ln (\frac{x ^{8}}{y ^{3}})

= ln (\frac{x ^{8}}{y ^{3}})

Popular Examples

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4 lo g_{10} (3 x^{3}) - 12 lo g_{10} (9 x^{8})

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Frequently Asked Questions (FAQ)

What is 8ln(x)-3ln(y) ?
The solution to 8ln(x)-3ln(y) is ln((x^8)/(y^3))