Question

True or false 20. Logb(1)=b

Answer 1

Step 1 :

In this question, we are meant to say true or false to the equation below:

`\log _b\text{ 1 = b}`

Step 2:

Recall that:

`\begin{gathered} \log _{b\text{ }}\text{ 1 = 0 , } \\ \end{gathered}`

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:

`\log _b1\text{ = b}`

is FALSE.