1. solve the log equation

How do you solve this log equation? I tried using the quotient rule for logarithms, but am not getting anywhere.

2. Originally Posted by math619
How do you solve this log equation? I tried using the quotient rule for logarithms, but am not getting anywhere.

$log_2(5) = log_2(x + 32) - log_2(x)$

$log_2(5) = log_2 \left ( \frac{x + 32}{x} \right )$

Now equate the arguments:
$5 = \frac{x + 32}{x}$

$5x = x + 32$

$4x = 32$

$x = 8$

-Dan