[tex]:\implies\bf\:ln(x^5)=5ln(x)[/tex]
[tex]:\implies\sf\:ln(x)=2.303log(x)[/tex]
[tex]:\implies\sf\:log(ab)=log(a)+log(b)[/tex]
[tex]:\implies\sf\:ln(x^n)=2.303n\:log(x)[/tex]
[tex]\:\implies\sf\:log(\dfrac{a}{b})=log(a)-log(b)[/tex]
[tex]:\implies\sf\:ln(x)=n\:\rightarrow\:x=e^n[/tex]