Advertisements
Advertisements
Question
Express the following in terms of log 5 and/or log 2: log500
Solution
log500
= log (22 x 53)
= log 22 + log 53
= 2 log 2 + 3 log 5.
APPEARS IN
RELATED QUESTIONS
Given 3log x + `1/2`log y = 2, express y in term of x.
If log (a + b) = log a + log b, find a in terms of b.
If 2 log y - log x - 3 = 0, express x in terms of y.
Given: log3 m = x and log3 n = y.
Write down `3^(1 - 2y + 3x)` in terms of m and n.
Express the following in terms of log 2 and log 3: log 216
Express the following as a single logarithm:
`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`
Express the following as a single logarithm:
`(1)/(2)"log"25 - 2"log"3 + "log"36`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 2.25
If 2 log y - log x - 3 = 0, express x in terms of y.
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2