Question

Oblicz x korzystając z definicji logarytmu: a)log4X=3/2

b)log 1/8x2=1/3

c)log9IxI=3/2

d)log1/4x=-2

Answer 1

log₄x=3/2

4 do potegi 3/2=x

x=√64=8

..............

log⅛x²=1/3

(1/8) do potegi 1/3=x²

x²=∛⅛=½

x=√½

x=√2/2  lub x=-√2/2

.............................

log₉ I xI =3/2

9 do potegi 3/2= IxI

IxI=√729

x=27

............

log¼x=-2

(¼)⁻²=x

x=16