1. 1. ii iii '1 'l ill Si it ill it it ill ll iii1. Use the log button on your calculator to evaluate each of the following quantities:l
2. 2. ll ll '1 it It ll ll3. 12. Make a conjecture about the domain of log X. )o3. Make a conjecture about what the log X function actually does. The Pder we muse.LO to t0 get H16 number lAJe'i'i)0lLl4iL (0% Cg,
3. 3. it ll '1 ii iii til itil l ll?llSi Si ll ii Jlil4. Test your conjecture with these values of X.Does your conjecture appear to be true?
4. 4. iiill illit illllll ii iii ll ll ll Jlrii itUse the values in the table from part 1 to sketch the graph 0of the same set of axes. Them plot the graph
5. 5. 6. Make a conjecture about the rule for f "1Incidentally,the way we should really write f(x) =logx isf(x)= log10 x. $"(x): /07. Now consider g(x) =2 .What would g1(x)be? a"(1
6. 6. 9. So, ifk(x)= b"b>0,k1(x)= logbx.What are the domain andrange ofk (x) =logb x ? Domain. }5>O Range:loabgg e/ (32

7. 10. Since y =1ogb x and y =b are inverse functions of each other,the following two equations must be equivalent to one another: y= logbx and x= b". mnihm D? _This,in fact,the definition of the logarithm that you will see in your book5l"l"V 7' gr bx : > lr1lVQ)rSe:X/ /Eb} (imirbf 4 lhygre ; lD 7k' 5 6* 8. I, I Ii! II. IIII. IIl, IIl. IiII . , F-'4 -. ..< __. .< . .l U,__. ., -'r~s 7-44- MT --a -. g 'D>4- _s. ., _-_,__. ., >4-x-A,-n.>>A -. a..:4 ll .1; J;Jj J;J,, J] J,,i, , J,Jr J;J, H};J;J, I11. Use this denition to evaluate each of the following expressions: 32:2 X55a.logz 32 7- X. b.1og93 :1 :71: / /a_ 9. Two bases in particular are frequently used for logs. Common log | og10(x) is the inverse of 10*. l%, .,3C': ~l