26
Number Notations, Arithmetical Operations, and Calculators
11 Logarithms and antiloganthms
A Determine the logarithms of the following numbers
(a) log 63 2 =
(h) In 16 05 =
(b) log 906 =
(i) In 1 536 =
(c) log 0 0000451 =
0) In 0 000219 =
(d) log (7 32 x 10-') =
(k) In (5 77 x 10~
9
) =
(e) log 43,620 =
(1) In 170,300 =
(f) log (6 344 x 10") =
(m) In (4 696 x 10
1V ) =
(g) log (-27 6) =
(n) In (-13 3) -
B Determine the antiloganthms of the following numbers
(o) antilog 4 37891 =
(u) antiln 2 19722 =
(p) antilog 0 90309 =
(v) antiln 0 12345 =
(q) antilog (-5 65432) =
(w) antiln (-27 27546) =
(r) antilog (-9 00576) =
(x) antiln (- 1 98765) =
(s) antilog (2 55555) =
(y) antiln (0 00026) =
(t) antilog (-0 17562) =
(z) antiln (-7 77777) =
C Express the following numbers in standard scientific notation
(aa) 10
437891
(ee) 10
300
""
(bb) 10°
90309
(ff) 10°
497H
(cc) IQ-"
65432
(gg) io-o
oo °o"
7
(dd) IQ900576
12 "Solving for A' " Solve for whatever variable is used (x Y Q etc )
A Simple manipulations
. 8 3 12
(a) — - = —
25
x
14 9x 27
(b) T
= -
(0
= 60
(d) (F - 32) = 70
(f) 15 = 4 + TV*
(g) (0 17)(HO)(100 - T 2 ) = (0 53)(480)(7 2 - 22) + (40)(r 2 - 22)
(M
5X -
4
5 ~
4X
(h> -J9~ = —3—
B Problems involving logarithms Solve for whatever variable is used
(i) log Y = 483651
0) log ^—j = 5 17624
(k) log jT2 = -5 63257
(1) log (A) = 2 19607
(m) log P = ~
53
1
2 19 + 20 22784 (Find P for T = 298)