Powers of Four

Can you work out the value of x in this 'power-full' equation?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


If $4^x+4^x+4^x+4^x = 4^{16}$, what is the value of $x$?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.