## anonymous 4 years ago 2^(x+1)=3^x Help please. I got it down to (X+1)ln2=xln3 But now don't know what to do

1. anonymous

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

2. anonymous

$(x+1)\ln(2)=x\ln(3)$ 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 $\frac{\ln(2)}{\ln(3)-\ln(2)}=x$

3. anonymous

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

4. anonymous

yw