SOLUTION: Solve each equation in part analytically. Then solve the associated inequalities in parts (b) and (c). (a)(1/2)^-x=(1/4)^x+1 (b) (1/2)^-1> or = to (1/4)^x+1 (c) (1/2)^-x< or =
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-> SOLUTION: Solve each equation in part analytically. Then solve the associated inequalities in parts (b) and (c). (a)(1/2)^-x=(1/4)^x+1 (b) (1/2)^-1> or = to (1/4)^x+1 (c) (1/2)^-x< or =
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Question 744778: Solve each equation in part analytically. Then solve the associated inequalities in parts (b) and (c). (a)(1/2)^-x=(1/4)^x+1 (b) (1/2)^-1> or = to (1/4)^x+1 (c) (1/2)^-x< or =to (1/4)^x+1. Thanks! I am at a lose on how to do this.
Thanks! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Solve each equation in part analytically. Then solve the associated inequalities in parts (b) and (c).
(a)(1/2)^-x=(1/4)^x+1
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2^x = (2^-2)^(x+1)
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2^x = 2^(-2x-2)
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x = -2x-2
3x = -2
x = -2/3
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(b) (1/2)^-1> or = to (1/4)^x+1
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2 or (2^-2)^(x+1)
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2 or 2^(-2x-2)
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(c) (1/2)^-x< or =to (1/4)^x+1.
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2^x or 2^(-2x-2)
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Cheers,
Stan H.
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