Advertisements
Advertisements
Question
Express the following in terms of log 5 and/or log 2: log500
Advertisements
Solution
log500
= log (22 x 53)
= log 22 + log 53
= 2 log 2 + 3 log 5.
APPEARS IN
RELATED QUESTIONS
If x = (100)a , y = (10000)b and z = (10)c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.
Given 3log x + `1/2`log y = 2, express y in term of x.
If log 27 = 1.431, find the value of : log 9
Simplify : log (a)3 - log a
Express the following in terms of log 2 and log 3: log128
Express the following in terms of log 5 and/or log 2: log20
Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`
Express the following as a single logarithm:
`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`
Simplify the following:
`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`
If x2 + y2 = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)
