What is the x intercept of y= 3.1(2)^x

Answer 1

The x-intercept is the point where a line/curve crosses the x-axis, and the y-intercept is the point where a line/curve crosses the y-axis.

The point at which the curve crosses the x-axis, y = 0.

Substituting y=0 in the equation for the curve:

y = 3.1 (2)^x

3.1 (2)^x = 0

Dividing by 3.1 on both sides:

(2)^x = 0

Taking logarithm on both sides:

x ln2 = ln 0

Since ln 0 is not defined, There's no x-intercept for this curve.

In other words, the curve doesn't touch/cross x-axis at all.

The curve has an asymptote y=0, i.e., it looks like the curve is touching y=0(x-axis) but never reaches the line.

Answer 2

the y intercept = 3.1 or the point (0,3.1)

there is no x intercept, as y=0 is an asymptote that x approaches but never reaches

an x intercept would be (x,0) but no such point exists (unless you allowed a "surreal" number: negative infinity)