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Popular >

simplify 4ln(y)-3ln(x)+y/x

Solution

simplify

4 ln (y) - 3 ln (x) + \frac{y}{x}

Solution

ln (\frac{y ^{4}}{x ^{3}}) + \frac{y}{x}

Solution steps

4 ln (y) - 3 ln (x) + \frac{y}{x}

Apply log rule:

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

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

= ln (y^{4}) - 3 ln (x) + \frac{y}{x}

Apply log rule:

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

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

= ln (y^{4}) - ln (x^{3}) + \frac{y}{x}

Apply log rule:

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

ln (y^{4}) - ln (x^{3}) = ln (\frac{y ^{4}}{x ^{3}})

= ln (\frac{y ^{4}}{x ^{3}}) + \frac{y}{x}

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Frequently Asked Questions (FAQ)

What is 4ln(y)-3ln(x)+y/x ?
The solution to 4ln(y)-3ln(x)+y/x is ln((y^4)/(x^3))+y/x