On simplifying the logarithmic equation, [tex]log(16x^{2} )+ 2log(\frac{1}{x})= log(16)[/tex].
A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.
[tex]=log(16x^{2} )+ 2log(\frac{1}{x})\\ \\= log(16x^{2} )+ log(\frac{1}{x^{2} })\\\\=log(16x^{2} *\frac{1}{x^{2} })\\\\= log(16)[/tex]
Learn more about logarithmic equation here
https://brainly.com/question/3181916
#SPJ3