If log 2(x3)= log 2(x2)+ log 2 5- log 2 3, then x is equal to

Question

If log 2(x3)= log 2(x2)+ log 2 5- log 2 3, then x is equal to (A) (5/3) (B) (3/5) (C) 15 (D) (1/15)

Tardigrade Admin · Accepted Answer

Note that x should be positive Now, 3 log 2 x=2 log 2 x+ log 2((5/3)) ⇒ log 2 x= log 2((5/3)) ⇒ x=(5/3)

Q. If $lo g_{2} (x^{3}) = lo g_{2} (x^{2}) + lo g_{2} 5 - lo g_{2} 3$ , then $x$ is equal to