Advertisements
Advertisements
प्रश्न
If log102 = a and log103 = b; express each of the following in terms of 'a' and 'b' : log 60
उत्तर
log 60
= log1010 x 2 x 3 ...[ logamn = logam + logan ]
= 1 + log102 + log103 ...[ ∵ log1010 = 1 ]
= 1 + a + b ...[ ∵ log102 = a and log103 = b ]
APPEARS IN
संबंधित प्रश्न
Express in terms of log 2 and log 3 :
`"log"26/51 - "log"91/119`
Express the following in a form free from logarithm:
2 log x - log y = 1
Evaluate the following without using tables :
log108 + log1025 + 2 log103 - log1018
Prove that : `2"log" 15/18 - "log"25/162 + "log"4/9 = log 2 `
If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 25
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b': log 12
State, true or false : log 1 x log 1000 = 0
State, true or false :
`log x/log y` = log x - log y
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.
