Question

How do you condense `a ln 4 - ln b`?

Answer 1

`aln4-lnb=ln(4^a/b)`

Explanation:

We can condense using identities

`log_ap_1+log_ap_2+log_ap_3+..+log_ap_n=log_a(p_1*p_2*p_3*...*p_n)`

`log_ap-log_aq=log_a(p/q)`

`nlog_ap=log_ap^n` and

`1/mlog_ap=log_ap^(1/m)=log_aroot(m)p`

Using these `aln4-lnb=ln4^a-lnb=ln(4^a/b)`