Question

2^(x+1)=3^x

Help please.

I got it down to

(X+1)ln2=xln3

But now don't know what to do

Answer 1

solve, treating \(\ln(2)\) and \(\ln(3)\) as constants

Answer 2

\[(x+1)\ln(2)=x\ln(3)\] multiply out on the left get
\[\ln(2)x+\ln(2)=\ln(3)x\] put all term with \(x\) on the right get
\[\ln(2)=\ln(3)x-\ln(2)x\] factor out an \(x\) get
\[\ln(2)=(\ln(3)-\ln(2))x\] and finally divide to get
\[\frac{\ln(2)}{\ln(3)-\ln(2)}=x\]

Answer 3

Wow. Thank you. I did not realize to distribute the ln2

Answer 4

yw