How do you solve this log equation? I tried using the quotient rule for logarithms, but am not getting anywhere.
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Originally Posted by math619 How do you solve this log equation? I tried using the quotient rule for logarithms, but am not getting anywhere. $\displaystyle log_2(5) = log_2(x + 32) - log_2(x)$ $\displaystyle log_2(5) = log_2 \left ( \frac{x + 32}{x} \right )$ Now equate the arguments: $\displaystyle 5 = \frac{x + 32}{x}$ $\displaystyle 5x = x + 32$ $\displaystyle 4x = 32$ $\displaystyle x = 8$ -Dan
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