How do you sketch the graph of #y=log_2(x-1)#?

1 Answer
Nov 22, 2017

It is the graph of log base 2, with a horizontal translation of 1 unit right.


To graph how to graph #y=log2x# , you could always change it to an exponential equation, which would be #2^y=x# and pick some values of y to find x values. This would give you the 'original' graph.

From that graph, the value of k is -1, which means that the graph of log base 2 is translated 1 unit right.

Also note that due to this translation, the vertical asymptote is translated 1 unit left, and would then become x=1.

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