If 4 ^ (2x) = 1/32, then what is the value of x?

Question

If log 2 + log (3x + 1) = log (2x - 9) + 2,
then what is the value of x?
Note : Assume all log represented above is to the base of 10.

Answer 1

4^(2x) = 1/32
2^(4x)=2^(-5)
4x=-5
x=-5/4