Advertisements
Advertisements
प्रश्न
Express in terms of log 2 and log 3 : log 4.5
Advertisements
उत्तर
log 4.5
= log`45/10`
= log`[ 5 xx 3 xx 3 ]/[ 5 xx 2 ]`
= log`[ 3^2]/[2 ]`
= log 32 - log 2 .....[ loga`m/n` = logam - logan ]
= 2log3 - log 2 ......[ logamn = nlogam ]
APPEARS IN
संबंधित प्रश्न
Express in terms of log 2 and log 3:
`log26/51 - log91/119`
Express the following in a form free from logarithm:
2 log x - log y = 1
Solve for x : log (x2 - 21) = 2.
Solve for x : log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3
If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 25
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 12
State, true or false :
If `log 25/log 5 = log x`, then x = 2.
State, true or false :
log x x log y = log x + log y
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.
