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Popular >

simplify 5ln(x)-4ln(y)

Solution

simplify

5 ln (x) - 4 ln (y)

Solution

ln (\frac{x ^{5}}{y ^{4}})

Solution steps

5 ln (x) - 4 ln (y)

Apply log rule:

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

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

= ln (x^{5}) - 4 ln (y)

Apply log rule:

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

4 ln (y) = ln (y^{4})

= ln (x^{5}) - ln (y^{4})

Apply log rule:

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

ln (x^{5}) - ln (y^{4}) = ln (\frac{x ^{5}}{y ^{4}})

= ln (\frac{x ^{5}}{y ^{4}})

Popular Examples

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lo g_{b} (\frac{6}{7})

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Frequently Asked Questions (FAQ)

What is 5ln(x)-4ln(y) ?
The solution to 5ln(x)-4ln(y) is ln((x^5)/(y^4))