Question

Select the correct answer from each drop-down menu.For all positive values of x, the value of1085Iis always

Answer 1

Case: Logarithm laws

Method:

The laws are:

`\begin{gathered} \log_aa=1....(1) \\ \log_a1=0....(2) \end{gathered}`

The logarithm of the same base is 1 while the logarithm of 1 is 0.

Final answer:

For all positive values of x, the value of

`\log_xx\text{ }is\text{ }always\text{ }1`

And the value of

`\log_x1\text{ }is\text{ }always\text{ }0`