Advertisements
Advertisements
प्रश्न
State, true of false:
If `("log"49)/("log"7)` = log y, then y = 100.
पर्याय
True
False
Advertisements
उत्तर
True.
`("log"49)/("log"7)` = log y
⇒ `("log"7^2)/("log"7)` = log y
⇒ `(2"log"7)/("log"7)` = log y
⇒ 2(1) = log y
⇒ 2log10 10 = log y
⇒ log10 102 = log10 y
⇒ log10 100 = log10 y
⇒ y = 100.
APPEARS IN
संबंधित प्रश्न
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 a2 = log x, b3 = log y and 3a2 - 2b3 = 6 log z, express y in terms of x and z .
Solve for x and y ; if x > 0 and y > 0 ; log xy = log `x/y` + 2 log 2 = 2.
Solve for x: log (x + 5) = 1
Solve for x: `("log"27)/("log"243)` = x
If log x = a and log y = b, write down
102b in terms of y
If log 3 m = x and log 3 n = y, write down
32x-3 in terms of m
If 2 log x + 1 = log 360, find: log(2 x -2)
Express the following in a form free from logarithm:
3 log x - 2 log y = 2
If log (a + 1) = log (4a - 3) - log 3; find a.
