Advertisements
Advertisements
Question
Evaluate the following without using tables :
log 5 + log 8 - 2 log 2
Advertisements
Solution
Consider the given expression
log 5 + log 8 - 2 log 2 .....[ nlogam = logamn ]
= log 5 + log 8 x 8 - log 22 ......[ nlogam = logamn ]
= log 5 x 8 - log 22
= log 40 - log 4
= log`40/4` .....[ logam - logan = loga`(m/n)`]
= log 10
= 1
APPEARS IN
RELATED QUESTIONS
Express in terms of log 2 and log 3 : log 36
Express in terms of log 2 and log 3:
log 144
Express in terms of log 2 and log 3 :
`"log"75/16 - 2"log"5/9 + "log"32/243`
Solve for x : log (x - 2) + log (x + 2) = log 5
If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 3.6
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b': log 12
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b': log `2 1/4`
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b' : log 5.4
State, true or false : log 1 x log 1000 = 0
Given that log x = m + n and log y = m - n, express the value of log ` ( 10x ) / ( y ^ 2 )` in terms of m and n.
