Page 144 - Mathematics_Form_Two

Logarithms

21. Find the value of x, if 25. Given that log x = u, log y = ,
v
3
27
log 2 ( x − ) 1 + log 2 ( x+ ) 3 = 4,. and x = 3 , express z in terms of u
z
y
22. Determine the value of x if: and v.
(a) log x+log x+1= log 12 ⎛ ⎞ 26. If log 2 0.36103,= and log7 = 0.8451.,
3
3
3
log3 0.47712,=
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⎞
⎛
9
3
⎜ ⎟
⎟
Mathematics for Secondary Schools 23. Find the value of x in the equation (a) log (18)
⎜
log5 0.69897,=
⎟+3log2−log⎜ ⎟
(b) log x = log⎜
⎟
⎟
⎜ ⎜
⎟
⎜ ⎟
5 ⎝ ⎠
⎝
25⎠

evaluate each of the following:

log x +
1) log 12.=
log (x +
2
3
3
3
(b) log (45)
15
24. Determine the value of log x in the
(c) log (200)
7
a
2 3
equation x =
9
cd 2 b if log a = 1.2, (d) log (27)
8
logb = 1.5, logc = 0.5, log d = 0.8. (e) log (20)

(f) log 64
4

138
Student's Book Form Two

11/10/2024 20:13:09
MATHEMATIC F2 v5.indd 138
MATHEMATIC F2 v5.indd 138 11/10/2024 20:13:09