Advertisements
Advertisements
प्रश्न
Solve for x :
`log 225/log15` = log x
उत्तर
⇒ log x = ` (log 225 ) / (log15 )`
⇒ log x = ` ( log 15 xx 15 ) / ( log 15 ) `
⇒ log x = ` ( log 15 ^ 2 ) / ( log 15 ) `
⇒ log x = ` ( 2 log 15 ) / ( log 15 ) ` .... [ n loga m = loga mn ]
⇒ log x = 2
⇒ log10 x = 2
⇒102 = x
⇒ x = 10 x 10
⇒ x = 100.
APPEARS IN
संबंधित प्रश्न
Express in terms of log 2 and log 3 : log 4.5
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Evaluate the following without using tables :
log108 + log1025 + 2 log103 - log1018
Solve for x : log10 (x - 10) = 1
Solve for x : log (x2 - 21) = 2.
Solve for x : `(log 81)/(log27 )` = x
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
If log102 = a and log103 = b; express each of the following in terms of 'a' and 'b' : log `3 1/8`
State, true or false :
`log x/log y` = log x - log y