This preview shows pages 1–4. Sign up to view the full content.
Masnari/Escuti/BrickleyECE200 – Fall 2008– Homework 1 Solution Basic Math and Preliminary Concepts You Need to Know Completely Page 1 of 5 Logarithms1.Calculate the following: [1 pt each]a.log101()=0b.log100( )=!", or does not existc.log100.5()=-0.301d.log102()=0.301e.log10200()= 2.301f.ln 200()=5.298g.eln 200()=200h.lne200()=200i.102.2=158.489j.e2.2=9.025k.10log10(200)=200l.10log10ln(200)()e!1=2.664m.log10AB()=log10A()+log10B()n.lnA B()=lnA()!lnB()o.log10A2()=2log10A()2.Sketch (with axis labels) the following (by hand or with software such as MATLAB): [3 pts each]a.W=x2b.X=10yc.Y=10log10x()(note that this is known as the Decibel (dB)scale, and we will say that Yis the quantity xexpressed in dB)
This preview
has intentionally blurred sections.
Sign up to view the full version.