Range of the function f(x)=log2⁡2−log2⁡16sin2⁡x+1 is :

f(x)=log2⁡2−2log2⁡16sin2⁡x+10≤log2⁡16sin2⁡x+1≤log2⁡17 ⇒2−2log2⁡17≤2−2log2⁡16sin2⁡x+1≤2⇒ 0<2−2log2⁡16sin2⁡x+1≤2⇒f(x)≤1