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
Given 3log x + `1/2`log y = 2, express y in term of x.
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b': log 2.25
Given: log3 m = x and log3 n = y.
Write down `3^(1 - 2y + 3x)` in terms of m and n.
Simplify : log (a)3 - log a
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 2 and log 3: log 216
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y: log103
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
Find the value of:
`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`
