Use the Laws of Logarithms to combine the expression. $5log x - frac{1}{4}log(x^2 + 1) + 5log(x - 1)$
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Step 1: Apply the power rule of logarithms to simplify the expression: \[5\log{x} - \log(x^2 + 1) + 5\log(x - 1)\] \[= \log{x^5} - \log(x^2 + 1)^{1/4} + \log(x - 1)^5\] \[= \log{x^5} - \log(x^2 + 1)^{1/4} + \log(x - 1)^5\] Show more…
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