Advertisements
Advertisements
Question
Express the following in terms of log 2 and log 3: `"log"root(5)(216)`
Advertisements
Solution
`"log"root(5)(216)`
= `"log"(216)^(1/5)`
= `(1)/(5)"log"216`
= `(1)/(5)"log"(2^3 xx 3^3)`
= `(1)/(5)"log"2^3 + (1)/(5)"log"3^3`
= `(3)/(5)"log"2 + (3)/(5)"log"3`.
APPEARS IN
RELATED QUESTIONS
If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.
If log 27 = 1.431, find the value of : log 9
Express the following in terms of log 5 and/or log 2: log20
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`
Express the following as a single logarithm:
`"log"(81)/(8) - 2"log"(3)/(5) + 3"log"(2)/(5) + "log"(25)/(9)`
Simplify the following:
`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 12
If 2 log x + 1 = 40, find: log 5x
If log 4 = 0.6020, find the value of each of the following: log8
