Advertisements
Advertisements
प्रश्न
Simplify the following:
`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`
Advertisements
उत्तर
`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`
= `12 "log" (3)/(2) + 7"log" (5^3)/(3^3) - 5 "log" (5^2)/(2^2 xx 3^2) - 7"log" 5^2 + "log" (2^4)/(3)`
= 12 log 3 − 12 log 2 + 7 log 53 − 7 log 33 − 5 log 52 + 5 log 22 + 5 log 32 − 7 log 52 + log 24 − log 3
= 12 log 3 − 12 log 2 + 21 log 5 − 21 log 3 − 10 log 5 + 10 log 2 + 10 log 3 − 14 log 5 + 4 log 2 − log 3
= 2 log 2 + 3 log 5
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
If log 27 = 1.431, find the value of : log 9
Prove that:
log10 125 = 3(1 - log102).
Simplify : log (a)3 ÷ log a
Express the following in terms of log 5 and/or log 2: log500
Express the following in terms of log 5 and/or log 2: log250
Simplify the following:
`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 2.25
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60
