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