Advertisements
Advertisements
प्रश्न
Evaluate: `(log_5 8)/(log_25 16 xx Log_100 10)`
Advertisements
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 log√27x = 2 `(2)/(3)` , find x.
Evaluate: logb a × logc b × loga c.
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_x^(15√5) = 2 - log_x^(3√5)`.
Solve the following:
log 4 x + log 4 (x-6) = 2
If log x = a and log y = b, write down
10a-1 in terms of x
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1
If a b + b log a - 1 = 0, then prove that ba.ab = 10
Prove that `("log"_"p" x)/("log"_"pq" x)` = 1 + logp q
