The graph of y=log base 2 of x looks like a curve that increases at an ever-decreasing rate as x gets larger. It becomes very negative as x approaches 0 from the right. The graph of y=-log base 2 of x is the same as the first graph, but flipped over the x-axis.
So let's try to graph y is equal to log base two of negative x. In other videos we've talked about what transformation would go on there, but we can intuit through it as well.
log functions do not have many easy points to graph, so log functions are easier to sketch (rough graph) tban to actually graph them. You first need to understand what the parent log function looks like which is y=log (x).
We're asked to graph, y is equal to log base 5 of x. And just to remind us what this is saying, this is saying that y is equal to the power that I have to raise 5 to to get to x.
The two things I'm going to graph are y is equal to two to the x power and y is equal to the log base two of x. I encourage you to pause the video, make a table for each of them and try to graph them on the same graph paper.
This unit develops your understanding of exponential and logarithmic functions as inverse relationships. You'll analyze their graphs, apply key properties to solve complex equations, and construct models to represent real-world and mathematical scenarios involving growth, decay, and change in scale.
