Investigating Logarithms

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Jeremiah Joseph

Investigating Logarithms

This table to the left clearly shows that the log of 2 numbers added together will equal the log of the number multiplied. The table below clearly shows that log (χ) + log (y) will equal log (χy). Let log x = a, let log y = b. Therefore 10a = x and 10b = y, these two equations can then be simplified to 10(a+b) =x*y. it is then possible to convert this back to log (xy) = a + b.

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This table to the left clearly shows that the log of 2 numbers subtracted from each other will equal the log of the numbers divided by each other.The table below clearly shows the log () – log () will equal log (). Let log x = a, let log y = b. Therefore 10a = x and 10b = y, these two equations can be converted into 10(a – b) = x/y. Finally, this equation can then be converted back into log x – log y = log (x/y).

The table located to the left clearly ...

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