Rewrite the following expression using properties of logarithmic function:

$f(x)=ln(\frac{(3x+5{)}^4(5x^3+3{)}^5}{\sqrt[\phantom{2}]{3x^2+10}})$

$f(x)=4ln(3x+5)+5ln(5x^3+3)-\frac{ln(3x^2+10)}{2}$

$f(x)=4ln(3x+5)-15ln(5x^3+3)-2ln(3x^2+10)$

$f(x)=4ln(3x+5)+5ln(5x^3+3)+\frac{ln(3x^2+10)}{2}$

$f(x)=4ln(3x+5)+15ln(5x^3+3)-\frac{ln(3x^2+10)}{2}$

$f(x)=4ln(3x+5)+5ln(5x^3+3)-ln(3x^2+10)$

None of the above.