Answer:
The x-intercept is (3,0)
Step-by-step explanation:
First to find x intercept you need to substitute y for 0 as the x-axis is just the line y=0. After doing this we find:
⇒ 4^x-64=0
add 64
4^x=64
The two methods to solve are either:
Figure out that 64=4^3 so:
4^3=4^x
and so the solution must be x=3 because of the rule: a^b=a^c, b=c
The other way is to use logarithms so
[tex]log_{4}(64)=x=3[/tex]
