SOLUTION:
Step 1 :
In this question, we are meant to say true or false to the equation below:
[tex]\log _b\text{ 1 = b}[/tex]Step 2:
Recall that:
[tex]\begin{gathered} \log _{b\text{ }}\text{ 1 = 0 , } \\ \end{gathered}[/tex]log 1 = 0 means that the logarithm of 1 is always zero,
no matter what the base of the logarithm is.
This is because any number raised to 0 equals 1.
Therefore, ln 1 = 0 also.
CONCLUSION:
From the above analysis, we can see clearly that:
[tex]\log _b1\text{ = b}[/tex]is FALSE.