Question

If 2 with a exponent of 6x =1 what is the value of X

Answer 1

The only exponent you can give to 2 to obtain 1 is zero:

$2^z=1 \iff z=0$

In fact, we have

$2^z=1 \iff z = \log_2(1)=0$

So, in this case, we have

$2^{6x} = 1 \iff 6x = \log_2(1) \iff 6x=0\iff x=0$

Answer 2

the answer is

$x = 0.16$