If 2^x + 2^x + 2^x + 2^x = 2^16, what is the value of x?

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If 2^x + 2^x + 2^x + 2^x = 2^16, what is the value of x?

Add up the left side, we get:
4(2^x) = 2^16

But 4 = 2^2, so we have:
2^2(2^x) = 2^16

Using our exponent rule, we have:
2^(x + 2) = 2^16
x + 2 = 16

Subtract 2 from each side, we get:
x = 14