Pre-College Math Archives | Math Vault

# Category Archives for "Pre-College Math"

## Desmos Art: A Definitive Guide to Computational Sketching (How to Recreate Our Redditlady and Redditdog Using an Online Graphing Calculator)

If you’re of the type who enjoys playing around with graphing calculator, then you might be interested in the so-called Desmos Art. These are basically pictures and animations created in Desmos primarily through the clever use of equations and inequalities — among other features such as tables, animating sliders and regression models. Indeed, if you go to this official staff […]

## Desmos: A Definitive Guide (How to Perform Cool Computations and Creating Great Graphs Using Online Graphing Calculator)

Think you’re fond of of graphing and computing stuffs? Great! Because you might remember this thing called the Texas Instrument TI-83 from the old days. Sure, while programmable calculators in general are still pretty much popular these days, the graphing calculators from the 21st-century are also coming in waves as we speak — potentially disrupting the market of scientific computing and educational […]

## The Ultimate Guide to Logarithm: Basic Theory Commonly Missed in High School Which Turns a Log Noob into a Log Whiz

For the very vast majority of humans on earth, there is a topic found in the good old math textbooks that many of us still even dread contemplating about, as it seems to mess with our brain in a rather particular way.  The name? $\displaystyle \text{Logarithmus}$ — or Logarithm in English to be sure! As terrible-sounding as it […]

## Solving the Triangle with A=30°, b=40, and a=10

We got asked this trigonometry question, which we immediately converted into drawing for better readability. Before we begin, what does it mean to solve a triangle? Well, it’s just a short way of saying finding all the missing side lengths and angles of a triangle. So how on earth do you solve this triangle, with only […]

## Logarithmic Inequality — How do I solve this: Log base 0. 3 (x^2+8) > log base 0. 3 (9x)?

Subham asked the following question involving a logarithmic inequality: Solve $\log_{0.3} (x^2+8) > \log_{0.3} (9x)$. And here is our answer: