Advertisements
Advertisements
प्रश्न
State, true or false :
If `log 25/log 5 = log x`, then x = 2.
Advertisements
उत्तर
Given that
`log 25/log 5` = log x
⇒ `[ log 5 xx 5 ]/[ log 5 ]` = log x
⇒ `[ log5^2 ]/[ log 5 ] = log x`
⇒ `[ 2log5 ]/[ log5 ] = log x ...[ log_am^n = nlog_a m ]`
⇒ 2 = log10x
⇒ 102 = x
⇒ x = 100
Thus, the statement, x = 2 is false.
APPEARS IN
संबंधित प्रश्न
Express in terms of log 2 and log 3:
log 144
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Evaluate the following without using tables :
log 4 + `1/3` log 125 - `1/5`log 32
Solve for x : log10 (x - 10) = 1
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 : log 1 x log 1000 = 0
State, true or false :
`log x/log y` = log x - log y
State, true or false :
log x x log y = log x + log y
