Question

Please help!! If you aren't going to actually help, please don't even answer.

Answer 1

#1

Change of base formula is given by

$\\ \rm\Rrightarrow log_ab=\dfrac{log_db}{log_da}$

#2

Two most common bases are

• e
• 10

As general logarithm has base 10 and natural has base e hence these two are most used

#3

We use e as base

$\\ \rm\Rrightarrow log_23$

$\\ \rm\Rrightarrow \dfrac{log_e3}{log_e2}$

$\\ \rm\Rrightarrow \dfrac{ln3}{ln2}$

$\\ \rm\Rrightarrow \dfrac{1.0986122886681}{0.6931471805599}$

$\\ \rm\Rrightarrow 1.6$