# Exponential Equations

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• Sep 15th 2009, 03:51 PM
abc10
Exponential Equations
$2^x+2 - 2^x =48$

***NOTE*** THE + 2 IS ALSO ON THE EXPONENT!!!

So many things run through my head when I think about this? Can any of you break this down for me? Mucho appreciation guys!

The answer is 4 btw.
• Sep 15th 2009, 04:02 PM
pickslides
$2^{x+2} - 2^x =48$

Using index laws

$2^{x}2^{2} - 2^x =48$

Now factoring

$2^{x}(2^{2} -1) =48$

$2^{x}(4 -1) =48$

$3\times 2^{x} =48$

You got it from here?