### Instruction: If $2^8=16^x$, find $x$.### Response: I recognize that 16 is a power of 2, so I can rewrite it as $2^4$.
That means the equation becomes $2^8=2^{4x}$.
Now I can use the property of exponents that says if the bases are equal, then the exponents must be equal too.
So I can set $8=4x$ and solve for $x$.
Dividing both sides by 4, I get $x=2$.