4^(2x+1)=1/6

Answer 1

We can rewrite 1/6 as 6^-1 and then solve for x as follows:

4^(2x+1) = 6^-1

2x+1 = log4(6^-1)

2x+1 = -log6(4)

2x+1 = -0.7925

2x = -1.7925

x = -0.89625

Therefore, the solution is x = -0.89625.