What is the solution to the given equation? log 7 plus the log of open paren x minus 4 close paren is equal to 1

The logarithm rule log a + log b = log(ab) gives log(7(x − 4)) = 1. Since this is a common logarithm, its argument must equal 10, so 7(x − 4) = 10. Solving gives x = 38/7, which is greater than 4 and satisfies the domain requirement; the correct choice is x is equal to 38 sevenths.

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