logarithms are the inverse of an exponential function f(x) = a^x
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where: a>0, a can not = 1
x = a^y is written as y = logax
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where: a>0, a can not = 1 x>0
y=log base 2 (x+4) would be horizontal shift down 4 units same concept as translations vert. and horz. streches
asymptope is determined by the horizontial compression or decompression
for example: y=log base 2 (x+4) …. this would have an asymptote of -4
the point of the graph always is (1,0) and changes according to the equation itself
for example: y=log base 2 (x+2)-3
would change starting from (1,0) down by 2 units and left 3 units
