math:logarithms

~~DISCUSSION|Math Discussion~~

~~TOC~~

Lab46 Tutorials

Logarithms

Basic Rules & Properties

If <latex>y=b^x</latex> then <latex>x=log_by </latex>

Rule 1

<latex>log_b(xy) = lob_b(x) + log_b(y)</latex>

Rule 2

<latex>log_b(\frac{x}{y}) = log_b(x) - log_b(y)</latex>

Rule 3

<latex>log_b(x^n) = nlob_b(x)</latex>

Rule 4

<latex>log_b(1) = 0</latex>

Rule 5

<latex>log_b(b) = 1</latex>