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Solve for y given that $log_2(2y\; + \;3)-\;2\; = log_2(y - 2)$

      

Solve for y given that
$log_2(2y\; + \;3)-\;2\; = log_2(y - 2)$

  

Answers


John
$log^2(2y\;+\;3)\;-log_24 = log_2(y-2)$

for expressing 2 as log<sub>2</sub>4

$log_2(\frac{2y+3}{4}) \; =\;log_2(y\;-\;2)$

$\frac{2y\;+\;3}{4}\;=\frac{y\;-\;2}{1}$

$2y\;+\;3\;=4y\;-\;8; 11y\; =\; 2y$

y = 5.5
johnmulu answered the question on March 8, 2017 at 04:48


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