Advertisements
Advertisements
प्रश्न
Express the following as a single logarithm:
`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`
Advertisements
उत्तर
`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`
= `2 "log" 3 - (1)/(2) "log" 2^4 + "log" (2^2 xx 3)`
= `2 "log" 3 - (1)/(2) xx 4 "log" 2 + "log" 2^2 + "log" 3`
= 2 log 3 - 2 log 2 + 2 log 2 + log 3
= 3 log 3
= log 33
= log 27.
APPEARS IN
संबंधित प्रश्न
If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b': log 2.25
Express the following in terms of log 5 and/or log 2: log250
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y: log105
If 2 log y - log x - 3 = 0, express x in terms of y.
If log 4 = 0.6020, find the value of each of the following: log8
If log 27 = 1.431, find the value of the following: log300
