3.3 Exercises

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Övning 3.3:1

Bestäm \displaystyle \,x\, om

a) \displaystyle 10^x=1\,000 b) \displaystyle 10^x=0{,}1
c) \displaystyle \displaystyle \frac{1}{10^x}=100 d) \displaystyle \displaystyle \frac{1}{10^x}=0{,}000\,1

Övning 3.3:2

Beräkna

a) \displaystyle \lg{ 0{,}1} b) \displaystyle \lg{ 10\,000} c) \displaystyle \lg {0{,}001} d) \displaystyle \lg {1}
e) \displaystyle 10^{\lg{2}} f) \displaystyle \lg{10^3} g) \displaystyle 10^{-\lg{0{,}1}} h) \displaystyle \lg{\displaystyle \frac{1}{10^2}}