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B.   4.

Step-by-step explanation:

log4 (252 + 4)

= log4 256

256 = 4^4

So the answer is 4.

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents