Advertisements
Advertisements
Question
Write the logarithmic equation for:
V = `(4)/(3)pi"r"^3`
Advertisements
Solution
V = `(4)/(3)pi"r"^3`
Considering log on both the sides, we get
log V = `"log"(4/3 pi"r"^3)`
= log4 + logπ + logr3 - log3
= log22 + logπ + 3logr - log3
= 2log2 - log3 + logπ + 3logr.
APPEARS IN
RELATED QUESTIONS
If log10 8 = 0.90; find the value of : log 0.125
If log10 8 = 0.90; find the value of : log√32
Given log x = 2m - n , log y = n - 2m and log z = 3m - 2n , find in terms of m and n, the value of log `(x^2y^3 ) /(z^4) `.
Express the following in terms of log 5 and/or log 2: log500
Express the following as a single logarithm:
`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`
Simplify the following:
`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 2.25
If 2 log x + 1 = 40, find: log 5x
If log 8 = 0.90, find the value of each of the following: log4
If log 27 = 1.431, find the value of the following: log 9
