Secondary 3 A Maths
Chapter 2. Logarim
1)Changing indices to
log
ax =
b
x = loga b
Example
103 =1000
3=log10 1000
3x =2
x=log3 2
Do IT
Q1)3x =4
Q2)2y =2
2)Changing log to
indices
loga b = y
b =
ay
example
log3 x = 2
x = 32
x = 9
Q1) log4 y
= 3
Q2) log2 x
=2
3) Changing Of Base
Log b
Loga b =
-------
Log a
Log 5
Log4 5 =
-------
Log 4
Q1) find log6 7
Q2) find log8 9
<Logarithm/> tags
4) Power law of log
alog b = log ba
2log 3 = log 32
Take note
(Log b)2 = (log b)(logb)
not equal to log b2
5) Addition law of
log
Log (ab) = Log a +
logb
Log (12) = Log 3 +
log4
Log (3x) = log 3 +
logx
6) Subtraction law of
log
log (a/b) = log a –
log b
log (x/8) = log x-
log 8
Qn1) Log(4x)
Qn2) log (7/x)