#1
Change of base formula is given by
[tex]\\ \rm\Rrightarrow log_ab=\dfrac{log_db}{log_da}[/tex]
#2
Two most common bases are
As general logarithm has base 10 and natural has base e hence these two are most used
#3
We use e as base
[tex]\\ \rm\Rrightarrow log_23[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{log_e3}{log_e2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{ln3}{ln2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1.0986122886681}{0.6931471805599}[/tex]
[tex]\\ \rm\Rrightarrow 1.6[/tex]
