Solve for $x$ if $2^{x+1}+2^{x+2}=192$.
Given:
$2^{x+1}+2^{x+2}=192$
To do:
We have to find the value of $x$.
Solution:
$2^{x+1}+2^{x+2}=192$
$2\times2^x+2^2\times2^x=192$
$(2+4)\times2^x=192$
$2^x=\frac{192}{6}$
$2^x=32$
$2^x=2^5$
Comparing powers on both sides, we get,
$x=5$
The value of $x$ is $5$.
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