Advertisements
Advertisements
Question
Express the following in terms of log 2 and log 3: log 648
Solution
log 648
= log (23 x 34)
= log 23 + 34
= 3 log 2 + 4 log 3.
APPEARS IN
RELATED QUESTIONS
Given 2 log10 x + 1 = log10 250, find :
(i) x
(ii) log10 2x
If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 12
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b': log 2.25
If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15
If 2 log y - log x - 3 = 0, express x in terms of y.
Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`
Write the logarithmic equation for:
n = `sqrt(("M"."g")/("m".l)`
Simplify the following:
`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`
If 2 log x + 1 = 40, find: log 5x
If x2 + y2 = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)