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



Answer :

[tex]Use:\\lnx-lny=ln(\frac{x}{y})\\\\lnx+lny=ln(x\cdot y)\\\\lnx^y=y\cdot lnx[/tex]

[tex]ln5-lna+6lnb-6lnc=ln\frac{5}{a}+lnb^6-lnc^6=ln\frac{5}{a}+ln\frac{b^6}{c^6}\\\\=\boxed{ln\frac{5b^6}{ac^6}}\\\\\\where:a > 0;\ b > 0\ and\ c > 0[/tex]