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viniterranova

  • 4 years ago

Solve the equation, 2^(x+1)-2^(x-1)+2^(x-3)-2^(x-4)=50.

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  1. dumbcow
    • 4 years ago
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    expand \[2*2^{x} - \frac{1}{2}2^{x}+\frac{1}{8}2^{x}-\frac{1}{16}2^{x} = 50\] \[2^{x}(\frac{25}{16}) = 50\] \[2^{x} = 32\] \[x=5\]

  2. viniterranova
    • 4 years ago
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    Hey dumbcow may u explain why 2^x(25/16)=50 become 2^x=32.

  3. dumbcow
    • 4 years ago
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    multiply by (16/25) on both sides

  4. viniterranova
    • 4 years ago
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    thanks

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