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December 18th, 2018, 07:08 AM  #1 
Newbie Joined: Aug 2016 From: Romania Posts: 23 Thanks: 0  Exponential equation problem
I have the following equation 2^x+2^(x)=3 4^x+4^(x)=? The solution is 7, but I don't know how to reach that answer. Can anyone help me? Last edited by skipjack; December 18th, 2018 at 02:20 PM. 
December 18th, 2018, 07:38 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,468 Thanks: 1342 
$2^x + 2^{x} = 3$ $\begin{align*} &9 = \\ &(2^x+2^{x})^2 = \\ &2^{2x}+2+2^{2x} = \\ &4^x + 2 + 4^{x}\\ &4^x + 4^{x} = 7 \end{align*}$ 

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