Advertisements
Advertisements
प्रश्न
Prove that:
log10 125 = 3(1 - log102).
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
If log10 a = b, find 103b - 2 in terms of a.
Express the following in terms of log 2 and log 3: `"log" root(3)(144)`
Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`
Write the logarithmic equation for:
E = `(1)/(2)"m v"^2`
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 75
If log a = p and log b = q, express `"a"^3/"b"^2` in terms of p and q.
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 4 = 0.6020, find the value of each of the following: log2.5
