Advertisements
Advertisements
प्रश्न
Express the following as a single logarithm:
`2 + 1/2 "log" 9 - 2 "log" 5`
Advertisements
उत्तर
`2 + 1/2 "log" 9 - 2 "log" 5`
= `2 + 1/2 "log" 3^2 - 2 "log" 5`
= `2 "log" 10 + 1/2 xx 2 "log" 3 - 2 "log" 5`
= log 102 + log 3 - log 52
= log 100 + log 3 - log 25
= `"log" (100 xx 3)/(25)`
= log 12.
APPEARS IN
संबंधित प्रश्न
If log 27 = 1.431, find the value of : log 9
Simplify : log (a)3 ÷ log a
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
Write the logarithmic equation for:
V = `(4)/(3)pi"r"^3`
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 x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y: log103
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2
