Simplify simplify 3 log of x^2+1- log of x-5

simplify $3 \log (x^{2} + 1) - \log (x - 5)$

Step 1

Simplify $3 \log (x^{2} + 1)$ by moving $3$ inside the logarithm.

$\log ({(x^{2} + 1)}^{3}) - \log (x - 5)$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log (\frac{{(x^{2} + 1)}^{3}}{x - 5})$