Answer:
x = log base 4 of 2
Step-by-step explanation:
I'm assuming this is truly an exponential function as you state and not a mistype.
6^x = 2
Take the log of each side:
x · log(6) = log(2)
Divide each side by log(6):
x = log(2) / log(6)
x = 0.30103 / 0.77815
x = 0.3869... (rounded)
