Question

Вычислить: 4^(ln800∙lge-3lg2)

Answer 1

$4^{ln800*lge-3lg2}=4^{ln800 frac{lne}{ln10} -lg2^3}=4^{ frac{ln8+2ln10}{ln10} -lg8}=4^{ frac{ln8}{ln10} +2-lg8}=\ =4^{lg8+2-lg8}=4^2=16$