Question

Oblicz x jeśli:

a) log3x=-1

b)log5x=3

c) log½x=-2

d) log1/3x=-1/2

e)logx25=2

f)logx81=4

g)logx3=1/2

h)logx2=1/3

Answer 1

a)log₃x=-1

x=  3⁻¹

x=1/3

 

b)log₅x=3

x=5³

x=125

 

c)log₁/₂x=-2

x= 1/2⁻²

x=2²=4

 

d)log₁/₃x=-1/2

x=1/3⁻¹/²

x=3¹/²=√3

 

e)logx25=2

x²=25

x²=5²

x=5

 

f)logx81=4

x⁴=81

x⁴=3⁴

x=3

 

g)logx3=1/2

x¹/²=3

( x¹/²)²=3²

x=9

 

h)logx2=1/3

x¹/³=2

( x¹/³)³=2³

x=8