Advertisements
Advertisements
प्रश्न
Evaluate the following without using tables :
log108 + log1025 + 2 log103 - log1018
Advertisements
उत्तर
Consider the given expression
log108 + log1025 + 2 log103 - log1018
= log108 + log1025 + log1032 - log1018 ....[ nlogam = logamn ]
= log108 + log1025 + log109 - log1018
= log108 x 25 x 9 - log1018 ....[ logal + logam + logan = logalmn ]
= log101800 - log1018
= `log_10(1800/18)`
= `log_10 100` .....[ ∵ log10100 = 2]
= 2
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
Express the following in a form free from logarithm:
a log x - b log y = 2 log 3
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 `2 1/4`
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
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.
