Logarithms Do we need to solve inequality twice in this question? First for argument and then for Base ?

Logarithms Do we need to solve inequality twice in this question? First for argument and then for Base ?

Logarithms ...IMG_20240724_113314.jpg 54.18 KB

logarithms let,w=(log (base2) b)^2+6log(base2)b+12 and b is a real number,then  b^w=1/256,hasa) no solutionb) exactly one solutionc) exactly 2 distinct solutionsd)exactly 3 distinct solution

logarithms let,w=(log (base2) b)^2+6log(base2)b+12 and b is a real number,then  b^w=1/256,hasa) no solutionb) exactly one solutionc) exactly 2 distinct solutionsd)exactly 3 distinct solution