Explanation

Note that if we set log_(√2)4 = x₁, solving gives x₁ =4 if log _1/216= x₂, ⇒ x₂ = −4 Also for log₄ 32= x₃ =2.5 Combining results, x₁ + x₂ +x₃ = 4+ (−4) −2.5 = −2.5 Note that the solution has been separated to simplify solving difficulty due to different bases.

Note that if we set log_(√2)4 = x₁, solving gives x₁ =4 if log _1/216= x₂, ⇒ x₂ = −4 Also for log₄ 32= x₃ =2.5 Combining results, x₁ + x₂ +x₃ = 4+ (−4) −2.5 = −2.5 Note that the solution has been separated to simplify solving difficulty due to different bases.