9514 1404 393
Answer:
t = 4
Explanation:
It can be useful to convert the numbers to ratios of integers.
0.0625 = (0.5)^t
1/16 = (1/2)^t
1/2^4 = 1/2^t
4 = t . . . . . . . match exponents
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If you like, you can solve this using logarithms.
0.0625 = 0.5^t
log(0.0625) = t×log(0.5)
t = log(0.0625)/log(0.5)
t = 4