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16^(x+2) = 1/4 . Solve

16^(x+2) = 1/4 . Solve
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4 votes
16^(x+2) = 1/4 . Solve

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User Bdeem
by
7.6k points

1 Answer

3 votes
16^(x+2) = 1/4
(4^2)^(x+2) = 1/4
4^(2x+4) = 1/4
4 * 4^(2x+4) = 1
4^(1+2x+4) = 1
4^(2x+5) = 1
4^(2x+5) = 4^0

2x+5 = 0
2x = -5
x = -5/2
x = -2.5
answered
User Gladhus
by
7.2k points
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