Question 91831
1. Why does the graph of the basic exponential function 
{{{y = b^x}}}, where b>0, and b not 1) lie entirely above the x-axis?
{{{y}}} is positive above the x-axis
{{{y = 2^x}}} suggest b = 2
Now, plug some variables:
x = -1 . y = 1/2
x = 0 . y = 1
x = 1 . y = 2
{{{y}}} always remains positive and greater than zero

2. Explain the difference between natural logarithms and common logarithms.
Natural logs: {{{log(e,x)}}} base of {{{e}}}
Common logs: {{{log(10,x)}}} base of {{{10}}}