Question

Using the substitution u = 2x, solve the equation 23x = 2(2x+1) + 3(2x)

Answer 1

Given equation is: 23x = 2(2x+1) + 3(2x)

Substituting 2x=u in the equation, get:

$23(\frac{u}{2})=2(u+1)+3(u)\\ \Rightarrow \frac{23u}{2}=5u+2\\ \Rightarrow \frac{23u}{2}-5u=2\\ \Rightarrow \frac{13u}{2}=2\\ \Rightarrow u=\frac{4}{13}$