Advertisements
Advertisements
प्रश्न
Prove that:
log10 125 = 3(1 - log102).
Advertisements
उत्तर
3 (1 - log10 2)
⇒ 3 (log10 10 - log10 2)
⇒ 3 log10 ` ((10 ) / ( 2 )) `
⇒ 3 log10 5
⇒ log10 53
⇒ log10 125
Hence proved.
APPEARS IN
संबंधित प्रश्न
Given 2 log10 x + 1 = log10 250, find :
(i) x
(ii) log10 2x
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 54
Express the following in terms of log 2 and log 3: log 216
Express the following in terms of log 2 and log 3: `"log"root(5)(216)`
Express the following as a single logarithm:
`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`
Express the following as a single logarithm:
`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 2.25
If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`
If x2 + y2 = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)
