Question

Find the domain of the function sin inverse log x by 3 base 2

Answer 1

please see the attachment

Answer 2

Domain of sin-1 ranges from -1 to +1

=> -1 ≤ {log3(x/3)} ≤ 1

=> 3-¹ ≤ x/3 ≤ 3¹

=> 1 ≤ x ≤ 9

Hence x belongs to [1,9].