Logarithms assist, among other things, in solving exponential equations in general. Understanding some logarithmic equivalences is extremely useful for the process of manipulating these mathematical elements in order to solve such equations. According to this information and the contents studied on the possible logarithmic manipulations, analyze the following statements regarding the veracity of the equivalences and mark V for the true (s) and F for the false (s).
I. () log (27) = 3 log (3).
II. () log (12) = log (3) + log (4).
III. () 2log (2) = log (4).
IV. () log (10) = 2log (100) - log (10).
Now, check the alternative that presents the correct sequence:
V, F, V, F.
V, V, F, F.
F, V, F, V.
V, V, V, F.
F, F, V, V.
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