Log по основанию 1/√2(4^3√32)

Question

Log по основанию 1/√2(4^3√32)

Answer 1

Log₁/√₂(4(3*√32)=3*√32*log₁/√₂(4)=3*√32/log√₂(2²)=3*4*√2/log√₂(√2)⁴=
=3*4*√2/4=3*√2.