Question

Oblicz logarytmy (potrzebuje OBLICZENIA razem z wynikiem):

log₁/₃ z 3

log ₄ z 2

log₀,₃ z 0,027
log₀,₁ z 100

log₅ z 5³
log₈ z 8^ ⅓
log₃/₄ z ¾
log₂ z 1/√2
log ₁/₂ z 4
log₉ z ⅓
log₅ z 1/125
log₂/₃ z 9/4

Answer 1

log₁/₃3=-1   bo (⅓)^⁻¹=3

 

log₄2=1/2     bo 4^(½)=√4=2

 

log₀,₃0,027=3       bo  0,3³=0,3*0,3*0,3=0,027

 

log₀,₁ 100=-2    bo (1/10)⁻²=10²=100

 

log₅5³=3log₅5=3*1=3

 

log₈8^¹/₃=1/3log₈8=1/3*1=1/3

 

log₃/₄3/4=1   bo (3/4)^¹=3/4

 

log₂1/√2=log₂1-log₂√2=0-1/2=-1/2   bo log₂1=0  bo 2⁰=1

                                                                      log₂√2=1/2 bo 2^¹/²=√2

 

log₁/₂4=-2   bo 1/2^⁻²=4

 

log₉1/3=-1/2     bo 9^⁻¹/²=1/3

 

log₅1/125=-3    bo 5⁻³=1/125

 

log₂/₃9/4=-2   bo (3/2)^²=(9/4^)⁻¹=4/9