Write the expression as a single logarithm.
$2 \log_{3} (x + 3) - \log_{3} (x - 20) - \log_{3} (x - 9)$
$2 \log_{3} (x + 3) - \log_{3} (x - 20) - \log_{3} (x - 9) =$
(Simplify your answer.)

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So, the expression $2 \log_{3} (x + 3) - \log_{3} (x - 20) - \log_{3} (x - 9)$ can be written as a single logarithm as $\log_{3} (\frac{(x + 3)^{2}}{(x - 20) (x - 9)})$

Steps

Step 1 ：Rewrite the expression using the property of logarithms a*log_b(c) = log_b(c^a): $\log_{3} ((x + 3)^{2}) - \log_{3} (x - 20) - \log_{3} (x - 9)$

Step 2 ：Simplify the expression using the property of logarithms log_b(c) - log_b(d) = log_b(c/d): $\log_{3} (\frac{(x + 3)^{2}}{(x - 20) (x - 9)})$

Step 3 ：So, the expression $2 \log_{3} (x + 3) - \log_{3} (x - 20) - \log_{3} (x - 9)$ can be written as a single logarithm as $\log_{3} (\frac{(x + 3)^{2}}{(x - 20) (x - 9)})$

Write the expression as a single logarithm.2log3⁡(x+3)−log3⁡(x−20)−log3⁡(x−9)2log3⁡(x+3)−log3⁡(x−20)−log3⁡(x−9)=(Simplify your answer.)

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Popular Problems

Write the expression as a single logarithm.
$2 \log_{3} (x + 3) - \log_{3} (x - 20) - \log_{3} (x - 9)$
$2 \log_{3} (x + 3) - \log_{3} (x - 20) - \log_{3} (x - 9) =$
(Simplify your answer.)