Answer:
[tex]5ln2-3ln5[/tex]
[tex]2ln5-ln2[/tex]
Step-by-step explanation:
∵ [tex]32=2^{5}[/tex]
∵ [tex]125=5^{3}[/tex]
∵ [tex]ln\frac{32}{125}=ln\frac{2^{5}}{5^{3}}[/tex]
∴ [tex]ln2^{5}-ln5^{3}=5ln2-3ln5[/tex]
∵ [tex]12.5=\frac{125}{10}=\frac{25}{2}=\frac{5^{2}}{2}[/tex]
∴ [tex]ln12.5=ln\frac{5^{2}}{2}[/tex]
∴ [tex]ln5^{2}-ln2=2ln5-ln2[/tex]
