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Popular >

simplify 3ln(x)+1/2 ln(y)-8

Solution

simplify

3 ln (x) + \frac{1}{2} ln (y) - 8

Solution

ln (x^{3} y^{\frac{1}{2}}) - 8

Solution steps

3 ln (x) + \frac{1}{2} ln (y) - 8

Apply log rule:

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

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

= ln (x^{3}) + \frac{1}{2} ln (y) - 8

Apply log rule:

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

\frac{1}{2} ln (y) = ln (y^{\frac{1}{2}})

= ln (x^{3}) + ln (y^{\frac{1}{2}}) - 8

Apply log rule:

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

ln (x^{3}) + ln (y^{\frac{1}{2}}) = ln (x^{3} y^{\frac{1}{2}})

= ln (x^{3} y^{\frac{1}{2}}) - 8

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Frequently Asked Questions (FAQ)

What is 3ln(x)+1/2 ln(y)-8 ?
The solution to 3ln(x)+1/2 ln(y)-8 is ln(x^3y^{1/2})-8