Advertisements
Advertisements
Question
Write the logarithmic equation for:
V = `(1)/("D"l) sqrt("T"/(pi"r")`
Advertisements
Solution
V = `(1)/("D"l) sqrt("T"/(pi"r")`
⇒ V = `(1)/("D"l)("T"/(pi"r"))^(1/2)`
Considering log on both the sides, we get
log V = `"log"[(1)/("D"l)("T"/(pi"r"))^(1/2)]`
= `"log"(1/("D"l)) + "log"("T"/(pi"r"))^(1/2)`
= `("log"1 - "log""D" - "log"l) + (1)/(2)"log"("T"/(pi"r"))`
= `(0 - "log""D" - "log"l) + (1)/(2)("log""T" - "log"pi - "log""r")`
= `(1)/(2)("log""T" - "log"pi - "log""r") - "log""D" - "log"l`.
APPEARS IN
RELATED QUESTIONS
Prove that : (log a)2 - (log b)2 = log `(( a )/( b ))` . Log (ab)
Given: log3 m = x and log3 n = y.
Express 32x - 3 in terms of m.
Express the following in terms of log 2 and log 3: log128
Express the following in terms of log 5 and/or log 2: log160
Express the following in terms of log 5 and/or log 2: log250
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: log60
If log 4 = 0.6020, find the value of each of the following: log2.5
If log 27 = 1.431, find the value of the following: log300
If x2 + y2 = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)
