How to Compare the Graphs of y=log(2x)+3 and y=log(x)

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Logarithmic functions are useful for modeling phenomena that involve exponential growth or decay, such as population, radioactive decay, sound intensity, pH, and more. In this article, we will explore how to compare the graphs of two logarithmic functions: y=log(2x)+3 and y=log(x). We will also learn how to use transformations to relate the graphs of these … Read more

Is Draco Related to Sirius? The Surprising Truth About the Black Family Tree

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The Harry Potter series is full of fascinating characters, complex plots, and intriguing mysteries. One of the most intriguing aspects of the wizarding world is the genealogy of the pure-blood families, who are all interrelated in some way or another. One of the most prominent and ancient pure-blood families is the House of Black, which … Read more