Solve for x. Round all answers to the nearest tenth. A right triangle with 32 degrees at the roo and 14 on the side

We have that
1/16 = 64^x
applying log both sides
log(1/16)=log(64^x)
log 1-log16=x*log64
-log 16=x*log 64
divide by log 64 both sides
x=-log 16/log 64
log 16=log 2^4> 4*log 2
log 64=log 2^6> 6*log 2
-log 16/log 64=(-4*log 2)/(6*log 2)> -4/6> -2/3

the answer is 
x=-2/3