X do potęgi log przy podstawie 2 z X = 64X log2X X = 64X

X ^ log ₂ X = 64X /log D=x∈R+ log[X ^ log ₂ X]=log(64X) log ₂ X*logX =log64+logX log ₂ X*log₂X/log₂10 =log64+log₂X/log₂10 log₂²X/log₂10 =log64+log₂X/log₂10 log₂X=t t²/log₂10=log64+t/log₂10 t²/log₂10 - t/log₂10 -log64=0 Δ=1/log₂²10+ 4* log64/log₂10=1/log₂²10+ 4* log₂64/log₂10*log₂10= =1/log₂²10+ 4* log₂2⁶/log₂²10=1/log₂²10+ 4*6/log₂²10= 25/log₂²10 √Δ=5/log₂10 t₁=(1/log₂10-5/log₂10)/ [2/log₂10]=-4/log₂10*log₂10/2=-4/2=-2 t₂=(1/log₂10+5/log₂10)/ [2/log₂10]=6/log₂10*log₂10/2=6/2=3 log₂X=-2 lub log₂X=3 x=2⁻² lub x=2³ x=1/4 lub x=8