Question

Oblicz następujące logarytmy:

Answer 1

 

log₄256 = log₄4⁴ = 4

log₃1/27 = log₃1/3³ = log₃3⁻³ = -3

log₃27 = log₃3³ = 3

log1/100 = log1/10² = log10⁻² = -2

 

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Litterarum radices amarae sunt, fructus iucundiores

 

Pozdrawiam :)

 

Answer 2

a)

log4(256) = log4(16*16) = log4(4*4*4*4) = 4

 

b)

log3(1/27)=log3(1/3 * 1/3 * 1/3) = -3

 

c)

log3(27)=log3(3 * 3 * 3) = 3

 

d)

//   log(x) = log10(x)

log10(1/100)=log10(1/10 * 1/10) = -2