Solve the logarithmic equation. Be sure to reject any value of $x$ that is not in the domain of the original logarithmic expressions. Give the exact answer. $\log_3(x+7) + \log_3(x+5) = 1$ Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\boxed{ }$ . (Simplify your answer. Use a comma to separate answers as needed.) B. There are infinitely many solutions. C. There is no solution.
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Step 1: Use the logarithm property $\log_a b + \log_a c = \log_a (bc)$ to combine the two logarithms on the left side of the equation: $\log_3((x+7)(x+5)) = 1$ Show more…
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