Advertisements
Advertisements
प्रश्न
Evaluate: `(log_5 8)/(log_25 16 xx Log_100 10)`
उत्तर
`(log_5 8)/(log_25 16 xx log_100 10)`
= `( log_10 8/ log_10 5)/(log_10 16/log_10 25 xx log_10 10/ log_10 100)`
= `( log_10 2^3/ log_10 5)/(log_10 2^4/log_10 5^2 xx log_10 10/ log_10 10^2)`
= `log_10 2^3/log_10 5 xx log_10 5^2/ log_10 2^4 xx log_10 10^2/ log_10 10 `
= `[3log_10 2]/log_10 5 xx [2log_10 5]/ [4log_10 2] xx[2log_10 10]/ [log_10 10] `
= 3
APPEARS IN
संबंधित प्रश्न
If a2 + b2 = 23ab, show that:
log `(a + b)/5 = 1/2`(log a + log b).
Find x, if : logx (5x - 6) = 2
Show that : loga m ÷ logab m + 1 + log ab
Solve for x, if : logx49 - logx7 + logx `1/343` + 2 = 0
Given x = log1012 , y = log4 2 x log109 and z = log100.4 , find :
(i) x - y - z
(ii) 13x - y - z
Solve for x: `("log"121)/("log"11)` = logx
Solve for x: `("log"125)/("log"5)` = logx
If log 3 m = x and log 3 n = y, write down
32x-3 in terms of m
Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1
If log (a + 1) = log (4a - 3) - log 3; find a.
