[math]log\left(a^2-10a+25\right)+\frac{1}{2}log\left(\frac{1}{\left(a-5\right)^3}\right)-log\left(\sqrt{a-5}\right)[/math][br]Step 1[br][math]log\left(a^2-10a+25\right)+log\left(\frac{1}{\left(a-5\right)^3}\right)^{\frac{1}{2}}-log\left(\sqrt{a-5}\right)[/math][br]Step 2[br][math]log\left(a^2-10a+25\right)+log\left(\frac{1}{\left(a-5\right)^{\frac{3}{2}}}\right)-log\left(a-5\right)^{\frac{1}{2}}[/math][br]Step 3[br][math]log\left(a^2-10a+25\right)+log\left(\frac{1}{\left(a-5\right)^{\frac{4}{2}}}\right)[/math][br]Step 4[br][math]log\left(a^2-10a+25\right)+log\left(\frac{1}{\left(a-5\right)^2}\right)[/math][br]Step 5[br][math]log\left(\frac{\left(a^2-10a+25\right)}{\left(a-5\right)^2}\right)[/math][br]Step 6[br][math]log\left(\frac{\left(a^2-10a+25\right)}{\left(a^2-10a+25\right)}\right)[/math][br]Step 7[br][math]log\left(1\right)[/math][br]Step 8[br]0