# What Are Logarithms

Teaching manipulation of expressions and equations before introducing variables « The Number Warrior

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"Worksheet with list of functions that precalculus students ought to come to know very very well (y=x, y=x^2, y=x^3, y=x^-1, y=x^1/2, etc). Early in the year, I spend five minutes of class having students fill out as much of the first page as they can and then I collect them (but don't grade them). We repeat this off and on until most people can do the whole page in five minutes. Later, we do the same thing with the second page (trig, log and exponential functions).

Have you seen the preview?? TEACHER TESTED AND KIDS APPROVED NO PREP SELF ASSESSING activity. Great for INDEPENDENT WORK. What is the MAGIC NUMBER? This product is a good review of "evaluating LOGARITHMIC functions by using the corresponding Exponential Form" at a given "numerical" input where the base is a rational number (integer or a rational number in one case).

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This is what the entire universe looks like in one image - The universe is so vast it's almost impossible to picture what it might look like crammed into one field of view. But musician Pablo Carlos Budassi managed to do it by combining logarithmic maps of the universe from Princeton & images from NASA. He created the image below that shows the observable universe in one disc. Our sun & solar system are at the very center of the image, followed by the outer ring of our Milky Way galaxy, the…

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