Saying Logarithm
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By definition, when we say log base b of x equals y, that's the same thing as saying "b to the y equals x".
So if you want to find log base b of x, you're asking "what power do you have to raise b to in oder to get x?" 
30 Algebra properties
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https://homeshealth.info/wpcontent/uploads/2018/02/pleasinghighschoolalgebra1printableworksheetsonmathalgebrahelpmathsheetelectronicsandelectricalofhighschoolalgebra1printableworksheets.png 
Saying Logarithm
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"The base of the log raised to the power of what's on the other side of the equal sign will equal the number that the log is operating on." 
40 Sin, cos, tan, arcsin, arccos, arctan
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http://kallery.net/Q_strg/trustle/20_2481_9685.png 

01 Hippasus
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According to Pythagoras theorem the diagonal length of a square with each side measuring one unit would be square root of two.
The assumption that square root of two could be expressed as a ratio of two integers deduces a contradiction. 
09 Solving Algebraic Equations With Roots and Exponents
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Solving Algebraic Equations With Roots and Exponents 
05 Leonardo Fibonacci
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Fibonacci asked himself how many pairs of rabbits originated from a single pair in one year. Each pair of rabbits will produce exactly one more pair of both sexes per month which in turn would be fertile from the second month after birth. 
40 Sin, cos, tan, csc, sec, cot
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http://kallery.net/Q_strg/trustle/20_2475_9614.png 
