<p>If 2^x + 2^x + 2^x + 2^x = 2^7, what is the value of x?</p>
<p>Thanks.</p>
<p>The original equation is equivalent to 4(2^x)=2^7
which can be further manipulated to become 2^2(2^x)=2^7
according to the addition of power 2^2+X=2^7
then x+2=7
X=5</p>
<p>You can avoid some of the algebra if you want. Once you have 4(2^x)=2^7, you can divide 2^7 by 4 in your calculator to get 2^x=32, from which it follows that x=5.</p>
<p>Also note that forthesakeofedu’s third line should read 2^(2+x)=2^7.</p>