Please help me with this question solving for x. Thanks.

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
    4^x = 2
    but, 2 = √4 = 4^(1/2), so
    x = 1/2

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