can we have a graph where y = log base x (5) ? or x^y = 5 ?
When I draw this graph out it has a horizontal asymptote at x = 0 on the right end, and it has values in the negative x-axis from -5 < x < -1
Edit : I'm just picking up graphs of logarithms and was wondering if there can be a graph of y = log base x (5), since I havent seen those examples yet
$$x^y=5 \\ y\cdot\ln(x)=\ln(5) \\ y=\dfrac{\ln(5)}{\ln(x)}=\dfrac{\text{constant}}{\ln(x)} $$
This function is easily analyzed by derivatives and graphical methods. It has a vertical asymptote at $x=1$ and approaches $0$ as $x\to0$. Rough graph:
The derivative of the function approaches $-\infty$ as $x\to 0$. Actual graph (from WolframAlpha):
Note the tendency of graph to become vertical near $x=0$.