help with all of them if you can

Answer:
Expression on single algorithm
7.
ln 4+ln 3x
ln 4*3x
=ln 12x
8.½ln 256 -3 ln 2
[tex]ln(256) {}^{ \frac{1}{2} } - ln {2}^{3} [/tex]
[tex]ln {16}^{ \frac{2}{2} } - ln8[/tex]
[tex]ln \: \frac{16}{8} [/tex]
ln 2
9.
7 ln a -4 ln b
[tex]ln \: {a}^{7} - ln \: b {}^{4} [/tex]
[tex]ln \: \frac{ {a}^{7} }{ {b}^{4} } [/tex]
Note:
coefficient is a power
and
divide when there is subtract[-]
multiply when there is addition [+]