Convert $3^n$ to some form of $2^n$

Question

I am not from Maths field, but I need your help to convert the $3^n$ form to $2^n$. I need to change the base from $3$ to $2$. The resultant expression can be of any form.

$2^n=e^{nln(2)}=e^{nln(2)/ln(3)ln(3)}=3^{nln(2)/ln(3)}$ – Pax Nov 15 '15 at 05:51 — Pax, Nov 15 '15 at 05:51

score 2 · Accepted Answer · answered Nov 15 '15 at 06:00

2

$$3 = 2^{\log_23}$$

Therefore $$3^n = (2^{\log_23})^n=2^{n\log_23}$$

answered Nov 15 '15 at 06:00

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Convert $3^n$ to some form of $2^n$

1 Answers1