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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
6th-8th Foundation


Welcome to the astonishingly clear introduction to exponents, roots, and logarithm. Learn in this

 •  representation of exponents

 •  roots and logarithms are two inverses of exponents

 •  difference between common and natural logarithms

 •  arithmetics with exponents and logarithms

 •  Precedence -- PEMDAS or BODMAS (Exponent and Order)

 •  introduction to squares and square roots

 •  introduction to cubes and cube roots

All the above are given in a simple thought process.
(click for the list of lessons in this topic)

Exponents and Logarithm Arithmetics

Exponents are repeated multiplication. Root is an inverse of exponent to find the base. Roots are also considered as a form of exponent with fraction power. Logarithm is another inverse of exponent to find the power. This page explains arithmetics with exponents and logarithms -- providing a list of formulas as known results or properties.

At the end, the roots and logarithms that are not defined are explained. For example: `log_0 a` and `log_1 a` are not defined. `root(0)(a)` is not defined.

(click for the list of pages in the lesson)