The value of [tex]\log _{4} 1[/tex] is 0.
Explanation:
The expression is [tex]\log _{4} 1[/tex]
Now, we shall find the value of [tex]\log _{4} 1[/tex]
Let us apply the log rule : [tex]\log _{a}(1)=0[/tex]
This means that the logarithm of 1 is always zero regardless of the base of the logarithm. This is because, we know that any number whose power is zero always equal to one.
Since , the expression is of the form [tex]\log _{a}(1)[/tex], we have,
[tex]\log _{4} 1=0[/tex]
Thus, the value of [tex]\log _{4} 1[/tex] is 0.
