Question

What is the x-interception of the Logarithmic function??

Answer 1

Hello!

The answer is:

Why?

To find the x-interception of the given function, we just need to isolate the variable "x", by making the function (y) equal to 0.

So, we are given the function:

$F(x)=y=Log_{0.71}(x)$

Now, making y equal to 0, to isolate "x", we have:

$y=Log_{0.71}(x)\\\\0=Log_{0.71}(x)$

$0=Log_{0.71}(x)\\\\0.71^{0}=0.71^{Log_{0.71}(x)}} \\\\1=x$

We have that the x-intercept of the logarithmic function is located at (1,0)

Hence, the correct answer is:

B. (1,0).

Have a nice day!

Note: I have attached a picture for better understanding.