Document 19k

This study guide lists the basic logarithm rules and identities with examples. Sample problems with answers are also provided.

Document 19k

This study guide lists the basic logarithm rules and identities with examples. Sample problems with answers are also provided.

Hey guys, After working with high school and college students in algebra 1 & 2, i came across quite a few students who found logarithms hard to work with . Most of the students failed to retain some important log based rules which were essential to be effective at problem solving. Here's a list of a few rules : logab = x could... read more

One of the main complaints that students have when struggling with their math homework is that they don't understand why they need to learn this in the first place. After all, how often do we actually use calculus or trigonometry in our daily lives? I always make an effort to correct this false assumption in my students. Everything that we learn in math connects to reality... read more

Image 52k

Shows the graphs of y = ex and y = loge(x). e is Euler's Numbers ≅ 2.71828...

This journey is heavily inspired by the youtube mathematician Vi Hart, whose videos describing mathematical concepts through doodling in a notebook were the inspiration for much of my mathematical journeys series. I'll put a link to her video on this topic at the end of the journey, and I highly encourage everyone to go check her out. Let's talk exponents. But to do that, first... read more

Thanks, Vihart of YouTube! In this video, elementary algebra is built up from counting to positive numbers to negative numbers to multiplication and division to exponents and logarithms. All these concepts are tied together under the common theme of "fancy counting." That is, each of these operations is tied directly to the fundamental operation of "+1". All... read more

Logarithms A logarithm of a number to a given base is defined as the power to which the base is raised in order to produce that number. In simpler terms, a logarithm is the opposite of an exponent: A logarithm is the operation you perform to undo an exponent. Just as division on a number would undo whatever multiplication was done to the original number, logarithms and exponents have a... read more

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