3^x=2^x+1 ?

Question

423 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-23T05:35:56

#x=ln2/(ln3-ln2)#

I assume you mean: #3^x=2^(x+1)#.

Then we get:

#ln(3^x)=ln(2^(x+1))#

#xln3=ln2(x+1)#

#xln3=xln2+ln2#

#xln3-xln2=ln2#

#x(ln3-ln2)=ln2#

#color(blue)(barul|x=ln2/(ln3-ln2)|#