3.4 Exercises

From Förberedande kurs i matematik 1

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Revision as of 16:57, 13 June 2008

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Övning 3.4:1

Lös ekvationerna

a) \displaystyle e^x=13 b) \displaystyle 13e^x=2\cdot3^{-x} c) \displaystyle 3e^x=7\cdot2^x

Övning 3.4:2

Lös ekvationerna

a) \displaystyle 2^{\scriptstyle x^2-2}=1 b) \displaystyle e^{2x}+e^x=4 c) \displaystyle 3e^{x^2}=2^x

Övning 3.4:3

Lös ekvationerna

a) \displaystyle 2^{-x^2}=2e^{2x} b) \displaystyle \ln{(x^2+3x)}=\ln{(3x^2-2x)}
c) \displaystyle \ln{x}+\ln{(x+4)}=\ln{(2x+3)}