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Popular >

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

Solution

simplify

4 ln (x) - 5 ln (y)

Solution

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

Solution steps

4 ln (x) - 5 ln (y)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

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lo g_{b} (\frac{13}{17})

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lo g_{4} (x^{2} - 9) - 5 lo g_{4} (x + 3)

Frequently Asked Questions (FAQ)

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