Advertisements
Advertisements
प्रश्न
Given 3log x + `1/2`log y = 2, express y in term of x.
Advertisements
उत्तर
3log x + `1/2`log y = 2
⇒ log x3 + log√y = 2
⇒ log x3√y = 2
⇒ x3√y = 102
⇒ √y = `10^2/x^3`
Squaring both sides, we get
y = `10000/x^6`
⇒ y = `10000x^-6`
APPEARS IN
संबंधित प्रश्न
If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.
Prove that : (log a)2 - (log b)2 = log `(( a )/( b ))` . Log (ab)
If log5 x = y, find 52y+ 3 in terms of x.
Express the following in terms of log 2 and log 3: log 144
Express the following in terms of log 2 and log 3: log 216
Express the following as a single logarithm:
`(1)/(2)"log"25 - 2"log"3 + "log"36`
Simplify the following:
`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`
If 2 log x + 1 = 40, find: log 5x
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2
If log 4 = 0.6020, find the value of each of the following: log2.5
