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Popular >

simplify 5ln(x)+3/4 ln(y)

Solution

simplify

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

Solution

ln (x^{5} y^{\frac{3}{4}})

Solution steps

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

Apply log rule:

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

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

= ln (x^{5}) + ln (y^{\frac{3}{4}})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (x^{5}) + ln (y^{\frac{3}{4}}) = ln (x^{5} y^{\frac{3}{4}})

= ln (x^{5} y^{\frac{3}{4}})

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Frequently Asked Questions (FAQ)

What is 5ln(x)+3/4 ln(y) ?
The solution to 5ln(x)+3/4 ln(y) is ln(x^5y^{3/4})