Advertisements
Advertisements
Question
Write the logarithmic equation for:
F = `"G"("m"_1"m"_2)/"d"^2`
Advertisements
Solution
F = `"G"("m"_1"m"_2)/"d"^2`
Considering log on both the sides, we get
logF = `"log"("G"("m"_1"m"_2)/"d"^2)`
= log (Gm1m2) - log d2
= logG + logm1 + logm2 - 2 log d.
APPEARS IN
RELATED QUESTIONS
If x = (100)a , y = (10000)b and z = (10)c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.
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 5 and/or log 2: log500
Write the logarithmic equation for:
V = `(4)/(3)pi"r"^3`
Express the following as a single logarithm:
log 18 + log 25 - log 30
Express the following as a single logarithm:
`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`
Simplify the following:
`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`
Simplify the following:
`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`
If log 27 = 1.431, find the value of the following: log300
