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 (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)
Given: log3 m = x and log3 n = y.
If 2 log3 A = 5x - 3y; find A in terms of m and n.
Express the following in terms of log 5 and/or log 2: log20
Express the following in terms of log 2 and log 3: `"log"root(5)(216)`
Express the following as a single logarithm:
`2 + 1/2 "log" 9 - 2 "log" 5`
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 4 = 0.6020, find the value of each of the following: log8
If log 27 = 1.431, find the value of the following: log 9
Find the value of:
`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`
