# Math

4^x = 10 - 4^(x + 1)

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1. It's easier if you let u=4^x. Then
4^(x+1) = 4*4^x = 4u and you have

u = 10-4u
5u=10
u=2
4^x = 2
but, 2 = √4 = 4^(1/2), so
x = 1/2

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