Advertisements
Advertisements
Question
Express the following in a form free from logarithm:
3 log x - 2 log y = 2
Advertisements
Solution
3 log x - 2 log y = 2
⇒ log x3 - log y2
= 2 log 10
⇒ `"log"(x^3/y^2)` = log 102
= log 100
⇒ `(x^3/y^2)` = 100
⇒ x3 = 100 y2.
APPEARS IN
RELATED QUESTIONS
If `3/2 log a + 2/3` log b - 1 = 0, find the value of a9.b4 .
If x = log 0.6; y = log 1.25 and z = log 3 - 2 log 2, find the values of :
(i) x+y- z
(ii) 5x + y - z
If log√27x = 2 `(2)/(3)` , find x.
Solve the following:
log (3 - x) - log (x - 3) = 1
If 2 log x + 1 = log 360, find: log (3 x2 - 8)
If a = `"log" 3/5, "b" = "log" 5/4 and "c" = 2 "log" sqrt(3/4`, prove that 5a+b-c = 1
Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1
Prove that log (1 + 2 + 3) = log 1 + log 2 + log 3. Is it true for any three numbers x, y, z?
Prove that: `(1)/("log"_2 30) + (1)/("log"_3 30) + (1)/("log"_5 30)` = 1
If a = log 20 b = log 25 and 2 log (p - 4) = 2a - b, find the value of 'p'.
