Question

Ln 5 - ln a + 6 ln b- 6 ln c, please condense this logarithm, I fear I messed it up

Answer 1

`Use:\\lnx-lny=ln((x)/(y))\\\\lnx+lny=ln(x\cdot y)\\\\lnx^y=y\cdot lnx`


`ln5-lna+6lnb-6lnc=ln(5)/(a)+lnb^6-lnc^6=ln(5)/(a)+ln(b^6)/(c^6)\\\\=\boxed{ln(5b^6)/(ac^6)}\\\\\\where:a > 0;\ b > 0\ and\ c > 0`