Explain what happens to the graph of the function f(x) = logbx when b is equal to 1.
If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?
Do you mean $\displaystyle log(b\cdot x) $ ?
If so, if b=1, $\displaystyle log(1 \cdot x) = log(x) $
If $\displaystyle g(x)=b\cdot x \, \mbox{ and } h(x)=log(b\cdot x) $
Now if b=1, then $\displaystyle g(x) = x \mbox{ and } h(x) = log(x) $
g(x) and h(x) does not intersect, look at graph.
Really should try to be more clear in your question, now we don´t know if you mean $\displaystyle log_{1}(x) \mbox{ or } log(x) $