log b ( a 3 b + c b m ) v {\displaystyle \log _{b}\left(a^{3}{\frac {b+c}{b^{m}}}\right)^{v}}
log b ( a 3 b + c b m ) v = {\displaystyle \log _{b}\left(a^{3}{\frac {b+c}{b^{m}}}\right)^{v}=}
v log b ( a 3 b + c b m ) {\displaystyle v\log _{b}\left(a^{3}{\frac {b+c}{b^{m}}}\right)}
v ( log b a 3 + log b ( b + c ) − log b b m ) = {\displaystyle v(\log _{b}a^{3}+\log _{b}(b+c)-\log _{b}{b^{m}})=}
v ( 3 log b a + log b ( b + c ) − m log b b ) = {\displaystyle v(3\log _{b}a+\log _{b}(b+c)-m\log _{b}b)=}
v ( 3 log b a + log b ( b + c ) − m ) {\displaystyle v(3\log _{b}a+\log _{b}(b+c)-m)}
4 ln c − d ln 6 + 5 = ln c 4 − ln 6 d + ln e 5 = ln c 4 ⋅ e 5 6 d {\displaystyle 4\ln c-d\ln 6+5=\ln c^{4}-\ln 6^{d}+\ln e^{5}=\ln {\frac {c^{4}\cdot e^{5}}{6^{d}}}}