Advertisements
Advertisements
प्रश्न
Find the value of:
`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`
Advertisements
उत्तर
`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`
= `("log"(125)^(1/2) - "log"(27)^(1/2) - "log"(8)^(1/2))/("log"6 - "log"5)`
= `("log"(5)^(3xx1/2) - "log"(3)^(3xx1/2) - "log"(2)^(3xx1/2))/("log"6 - "log"5)`
= `(3/2 "log"(5) - 3/2"log"(3) - 3/2"log"(2))/("log"(2 xx 3) - "log"5)`
= `(3/2["log"(5) - "log"(3) - "log"(2)])/("log"2 + "log"3 - "log"5)`
= `(3/2["log"(5) - "log"(3) - "log"(2)])/(-["log"5 - "log"3 - "log"2])`
= `-(3)/(2)`.
APPEARS IN
संबंधित प्रश्न
If log (a + b) = log a + log b, find a in terms of b.
If log 27 = 1.431, find the value of : log 9
If log5 x = y, find 52y+ 3 in terms of x.
Simplify : log (a)3 ÷ log a
Express the following in terms of log 5 and/or log 2: log250
Express the following as a single logarithm:
log 18 + log 25 - log 30
Express the following as a single logarithm:
`"log"(81)/(8) - 2"log"(3)/(5) + 3"log"(2)/(5) + "log"(25)/(9)`
If log a = p and log b = q, express `"a"^3/"b"^2` in terms of p and q.
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
