Exploring Logarithmic Graphs: Finding the Distance Between Points

 Logarithmic functions often present interesting challenges in mathematics. In this blog post, we'll explore a problem involving points on the graph of a logarithmic function and how to find the positive difference between their `x`-coordinates. Let's dive into the details and solve this intriguing problem.

Points `A` and `B` lie on the graph `y=\log_2(x)`. The mid point of `AB` is `(6,2)`. What  is the positive difference between `x`-coordinates of `A` and `B` ?

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

Answer: `4\sqrt{5}`
Explanation: