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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

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

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

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.