Respuesta :

This is an exponential equation, you set each term to the same base (4)

Since 65536 is 4⁸

You write 4ˣ = 4⁸

Of course the exponents are equal so...

x = 8
65536 is also 4^8

To solve:
4^x=4^8
The exponent values can be set equal now that they share the same base.

Answer: x=8