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

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

Sri Lankan Math Geek

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Exploring Logarithmic Graphs: Finding the Distance Between Points

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