#### Answer

$x = - \frac{3}{8}$

#### Work Step by Step

$\log_{16} (2x+1) = -0.5$
$\log_{16} (2x+1) = -\frac{1}{2}$
$16^{-\frac{1}{2}} = 2x+1$
$2x + 1 = \frac{1}{4}$
$8x + 4 = 1$
$8x = 1 - 4$
$8x = -3$
$x = - \frac{3}{8}$

Published by
Brooks Cole

ISBN 10:
0-53449-636-9

ISBN 13:
978-0-53449-636-4

$x = - \frac{3}{8}$

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