Advertisements
Advertisements
Question
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b': log 12
Advertisements
Solution
Given that log102 = a and log103 = b
log 12
= log 2 x 2 x 3
= log 2 x 2 + log 3 ...[ logamn = logam + logan ]
= log 22 + log 3
= 2log 2 + log 3 ...[ nlogam = logamn ]
= 2a + b ...[ ∵ log102 = a and log103 = b ]
APPEARS IN
RELATED QUESTIONS
Express in terms of log 2 and log 3 :
`"log"75/16 - 2"log"5/9 + "log"32/243`
Express log102 + 1 in the form of log10x .
If log 2 = 0.3010 and log 3 = 0.4771; find the value of:
`2/3` log 8
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b': log `2 1/4`
Solve for x :
`log 225/log15` = log x
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b' : log 5.4
If log102 = a and log103 = b; express each of the following in terms of 'a' and 'b' : log 60
State, true or false :
If `log 25/log 5 = log x`, then x = 2.
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.
If log10 8 = 0.90, find the value of:
log10 4
