Advertisements
Advertisements
प्रश्न
If log 27 = 1.431, find the value of : log 300
Advertisements
उत्तर
log 27 = 1.431
⇒ log 3 x 3 x 3 = 1.431
⇒ log 33 = 1.431
⇒ 3log3 = 1.431
⇒ log 3 = `1.431/3`
⇒ log 3 = 0.477 ...(1)
log 300
= log( 3 x 100 )
= log 3 + log 100
= log 3 + 2 ...[ ∵ log10100 = 2 ]
= 0.477 + 2
= 2.477
APPEARS IN
संबंधित प्रश्न
If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2
If log (a + b) = log a + log b, find a in terms of b.
Given: log3 m = x and log3 n = y.
Write down `3^(1 - 2y + 3x)` in terms of m and n.
Prove that:
log10 125 = 3(1 - log102).
Express the following in terms of log 2 and log 3: log 54
Express the following in terms of log 2 and log 3: `"log"root(5)(216)`
Express the following as a single logarithm:
`"log"(81)/(8) - 2"log"(3)/(5) + 3"log"(2)/(5) + "log"(25)/(9)`
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2
If log 27 = 1.431, find the value of the following: log 9
If x2 + y2 = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)
