Question 209800
In order for a point to be an 'x-intercept', the y coordinate must be 0.

Let's substitute in y=0 and then attempt to solve for x
{{{ y=(0.5)^x}}}
{{{Log(y) = x* Log(0.5)}}}
{{{Log(0) = x*Log(0.5)}}}
The Log(0) is undefined, so y cannot be 0.

You can also try it another way
As x increases, the value of {{{(0.5)^x}}} approaches 0. However, 0 is the asymptote --> y never 'quite gets to 0, just really really close'