Question

best and fully explained will be marked as BRAINLIEST

Answer 1

${2}^{x} - {2}^{x - 1} = 400 \\ {2}^{x - 1} (2 - 1) = 400 \\ {2}^{x - 1} = 400 \\ x - 1 = log_{2}(400) \\ x - 1 = 8.6438561898 \\ x = 1 + 8.6438561898 \\ x = 9.6438561898$
You can see the above method we use to find that:

X = 9.6438561898