Question

Решите логарифм: log2( (1/8)³*(2^-0,5)/(1/4)³/(2^1/5) )

Answer 1

(1/8)³=(2⁻³)³=2⁻⁹      2¹/₅=2⁰₎²
(1/4)³=(2⁻²)³=2⁻⁶

㏒₂2⁻⁹ * 2⁻⁰₎⁵ :2⁻⁶:2⁰₎² = ㏒₂2⁻⁹ ⁺⁽⁻⁰₎⁵⁾ ⁻⁽⁻⁶⁾⁻⁰₎² =  ㏒₂2⁻⁹ ⁻⁰₎⁵ ⁺⁶ ⁻⁰₎² = ㏒₂2⁻³₎⁷=

=-3,7*㏒₂2 = -3.7*1= -3,7