Question

Solve for x: `("log"1331)/("log"11)` = logx

Answer 1

`("log"1331)/("log"11)` = logx

⇒ `("log"11^3)/("log"11)` = logx

⇒ `(3"log"11)/(log"11)` = logx
⇒ 3 = logx
⇒ 3log10 = logx    ...(since log10 = 1)
⇒ log 10³ = logx
∴ x = 10³
= 1000.