Evaluate the logarithm log 17 square root 17 (Picture provided)

Accepted Solution

Answer: option a.Step-by-step explanation:  By definition we know that:  [tex]log_a(a^n)=n[/tex] Where a is the base of the logarithm.  We also know that: [tex]\sqrt{x}=x^{\frac{1}{2}}[/tex] Then you can rewrite the logarithm given in the problem, as you can see below: [tex]log_{17}(\sqrt{17})[/tex] And keeping on mind the property, you obtain: [tex]=log_{17}(17^{\frac{1}{2}})=\frac{1}{2}[/tex] Therefore, you can conclude that the answer is the option a.