Please solve for x in this logarithmic equation? 4^x + 2^(x+1) = 60

1. Jan 5, 2010

Cuisine123

1. The problem statement, all variables and given/known data
4x + 2(x+1) = 60

2. Relevant equations
N/A

3. The attempt at a solution
4x + 2(x+1) = 60
22x + 2(x+1) = 60

I don't know where to go from there.

2. Jan 6, 2010

Mentallic

edit: ehild has the correct solution.

Last edited: Jan 6, 2010
3. Jan 6, 2010

ehild

You are on the right track. Note that $2^{(x+1)}=2\cdot 2^x$ and $2^{2x}= (2^x)^2$. Then choose 2^x as new variable and solve the resultant second order equation.

ehild