Advertisements
Advertisements
Question
Evaluate: `(log_5 8)/(log_25 16 xx Log_100 10)`
Advertisements
Solution
`(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
RELATED QUESTIONS
If log2(x + y) = log3(x - y) = `log 25/log 0.2`, find the values of x and y.
Given x = log1012 , y = log4 2 x log109 and z = log100.4 , find :
(i) x - y - z
(ii) 13x - y - z
Solve the following:
log 8 (x2 - 1) - log 8 (3x + 9) = 0
Solve for x: log (x + 5) = 1
Solve for x: `("log"125)/("log"5)` = logx
State, true of false:
logba =-logab
If 2 log x + 1 = log 360, find: x
If 2 log x + 1 = log 360, find: log(2 x -2)
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
