If x+(1/x)=3, then value of log 2(x3+(1/x3)+2)- log 2(x2+(1/x2)+3) equals

Question

If x+(1/x)=3, then value of log 2(x3+(1/x3)+2)- log 2(x2+(1/x2)+3) equals (A) 0 (B) 1 (C) 2 (D) 4

Tardigrade Admin · Accepted Answer

x 3+(1/ x 3)+3(3)=27 text similarly, x 2+(1/ x 2)=7 x 3+(1/ x 3)=18 ⇒ log 2( x 3+(1/ x 3)+2)- log 2( x 2+(1/ x 2)+3)= log 2 2=1

Q. If $x + \frac{1}{x} = 3$ , then value of $lo g_{2} (x^{3} + \frac{1}{x ^{3}} + 2) - lo g_{2} (x^{2} + \frac{1}{x ^{2}} + 3)$ equals