Convert between a multi-term sum of logarithms and a power Algebra I

Simplify or expand the following.

6\log_3\left(x\right)+4\log_3\left(y\right)-2\log_3\left(z\right)

\log_3\left( \dfrac{12xy}{z} \right)

\log_3\left(x^{6}+y^{4}-z^{2} \right)

\log_3\left( \dfrac{x^{6}y^{4}}{z^{2}} \right)

\log_3\left( 6x+4y-2z \right)

2\log\left(a\right)-3\log\left(b\right)+4\log\left(c\right)

\log\left(a^{2}-b^{3}+c^{4}\right)

\log\left(\dfrac{a^{2}c^{4}}{b^{3}}\right)

\log\left(2a-3b+4c\right)

\log\left(\dfrac{a^{2}+c^{4}}{b^{3}}\right)

4\ln\left(x\right)-3\ln\left(y\right)

\ln\left(\dfrac{x^{4}}{y^{3}}\right)

\ln\left(x^{4}-y^{3}\right)

\ln\left(4x-3y\right)

\ln\left(4ex-3ey\right)

3\log_5\left(m\right)+7\log_5\left(n\right)

\log_5\left( m^{3}+n^{7} \right)

\log_5\left(3 m+7n\right)

\log_5\left(15 m+35n\right)

\log_5\left( m^{3}n^{7} \right)

\log_2\left( x^{5}y^{6} \right)

\log_2\left(5x+6y\right)

5\log_2x+6\log_2y

30\log_2x\cdot\log_2y

11\log_2x\cdot\log_2y

\ln\left(m^{2}n^{4}\right)

2\ln\left(m\right)+4\ln\left(n\right)

8\ln\left(m\right)\ln\left(n\right)

\ln\left(2 m+4n\right)

\ln\left(8mn\right)

\log\left(\dfrac{x^{5}}{y^{7}}\right)

\dfrac{5\log\left(x\right)}{7\log\left(y\right)}

\log\left(5x-7y\right)

\log\left(\dfrac{5x}{7y}\right)

5\log\left(x\right)-7\log\left(y\right)