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 = log x, b3 = log y and 3a2 - 2b3 = 6 log z, express y in terms of x and z .
If m = log 20 and n = log 25, find the value of x, so that :
2 log (x - 4) = 2 m - n.
Show that : loga m ÷ logab m + 1 + log ab
If p = log 20 and q = log 25 , find the value of x , if 2log( x + 1 ) = 2p - q.
Solve for x, if : logx49 - logx7 + logx `1/343` + 2 = 0
Solve the following:
log ( x + 1) + log ( x - 1) = log 11 + 2 log 3
If x + log 4 + 2 log 5 + 3 log 3 + 2 log 2 = log 108, find the value of x.
If a b + b log a - 1 = 0, then prove that ba.ab = 10
If log (a + 1) = log (4a - 3) - log 3; find a.
If `"a" = "log""p"^2/"qr", "b" = "log""q"^2/"rp", "c" = "log""r"^2/"pq"`, find the value of a + b + c.
