Advertisements
Advertisements
प्रश्न
Express the following as a single logarithm:
`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`
Advertisements
उत्तर
`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`
`2"log"(5)/(2 xx 3) - "log"(5^2)/(2 xx 3^4) + "log"(2^2)/(3^2)`
= 2 log 5 - 2 log 2 - 2 log 3 - {log 52 - log 2 - log 34} + log 22 - log32
= 2 log 5 - 2log 2 - 2log 3 - 2 log 5 + log 2 + 4 log 3 + 2 log 2 - 2 log 3
= log 2.
APPEARS IN
संबंधित प्रश्न
If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15
If log (a + b) = log a + log b, find a in terms of b.
Prove that : (log a)2 - (log b)2 = log `(( a )/( b ))` . Log (ab)
If log 27 = 1.431, find the value of : log 9
Given: log3 m = x and log3 n = y.
If 2 log3 A = 5x - 3y; find A in terms of m and n.
Simplify the following:
`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`
If 2 log x + 1 = 40, find: log 5x
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`
If x2 + y2 = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)
