Advertisements
Advertisements
Question
Find the value of:
`("log"sqrt(8))/(8)`
Advertisements
Solution
`("log"sqrt(8))/(8)`
= `("log"2sqrt(2))/(8)`
= `(1)/(8)("log"2 + "log"sqrt(2))`
= `(1)/(8)("log"2 + "log"2^(1/2))`
= `(1)/(8)"log"2 + (1)/(8)"log"2^(1/2)`
= `(1)/(8)"log"2 + (1)/(2)(1)/(8)"log"2`
= `(1)/(8)"log"2 + (1)/(16)"log"2`
= `(2)/(16)"log"2 + (1)/(16)"log"2`
= `(3)/(16)"log"2`.
APPEARS IN
RELATED QUESTIONS
If 2 log y - log x - 3 = 0, express x in terms of y.
Given: log3 m = x and log3 n = y.
If 2 log3 A = 5x - 3y; find A in terms of m and n.
Express the following in terms of log 5 and/or log 2: log80
Express the following in terms of log 5 and/or log 2: log250
Write the logarithmic equation for:
E = `(1)/(2)"m v"^2`
Express the following as a single logarithm:
`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y: log105
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540
If log 4 = 0.6020, find the value of each of the following: log8
If x2 + y2 = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)
