What is 6ln(x)+1/2 ln(y)-3 ?

The solution to 6ln(x)+1/2 ln(y)-3 is ln(x^6y^{1/2})-3

Popular >

simplify 6ln(x)+1/2 ln(y)-3

simplify

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

ln (x^{6} y^{\frac{1}{2}}) - 3

Solution steps

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

Apply log rule:

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

6 ln (x) = ln (x^{6})

= ln (x^{6}) + \frac{1}{2} ln (y) - 3

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^{6}) + ln (y^{\frac{1}{2}}) - 3

Apply log rule:

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

ln (x^{6}) + ln (y^{\frac{1}{2}}) = ln (x^{6} y^{\frac{1}{2}})

= ln (x^{6} y^{\frac{1}{2}}) - 3

f (p) = ln (p^{4}) + ln (3 p^{5}) - 2 ln (p)

ln (\frac{x}{x - 3})

ln (\frac{2 x}{x - 1})

\frac{ln ( 265867 ) - ln ( 164967 )}{160 - 130}

- lo g_{10} (3.06 x 1 0^{- 2})

What is 6ln(x)+1/2 ln(y)-3 ?
The solution to 6ln(x)+1/2 ln(y)-3 is ln(x^6y^{1/2})-3