The definition of log is by the equivalence:
means 
where b>0 and b ≠ 1.
a.
<span> is not a logarithmic function because the base is greater than 0.
False: By definition, the base of a log MUST be greater than zero but cannot equal one.
b. </span>
<span> is not a logarithmic function because the base is a square root.
False: sqrt(3) is a positive number not equal to one, so it is a legitimate base.
c. </span>
<span>is not a logarithmic function because the base is equal to 1.
True. Log cannot have a base of one, by definition.
Recall the definition of log where b^y=x. If b=1, b^y will also equal 1, so cannot equal x which has a domain of 0<x< ∞
d. </span>
is not a logarithmic function because the base is a fraction.
False, because 3/4 is a legitimate base, just like any other positive number other than one.
a.
False: By definition, the base of a log MUST be greater than zero but cannot equal one.
b. </span>
False: sqrt(3) is a positive number not equal to one, so it is a legitimate base.
c. </span>
True. Log cannot have a base of one, by definition.
Recall the definition of log where b^y=x. If b=1, b^y will also equal 1, so cannot equal x which has a domain of 0<x< ∞
d. </span>
False, because 3/4 is a legitimate base, just like any other positive number other than one.