Advertisements
Advertisements
प्रश्न
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
उत्तर
2 log x + 3 log y = log a
⇒ log x2 + log y3 = log a
⇒ log (x2 . y2) = log a
⇒ x2y3 = a.
APPEARS IN
संबंधित प्रश्न
If log`( a - b )/2 = 1/2( log a + log b )`, Show that : a2 + b2 = 6ab.
Find x, if : logx (5x - 6) = 2
Evaluate : `( log _5^8 )/(( log_25 16 ) xx ( log_100 10))`
Solve the following:
log 4 x + log 4 (x-6) = 2
Solve the following:
`log_2x + log_4x + log_16x = (21)/(4)`
Solve for x: `("log"27)/("log"243)` = x
If log 3 m = x and log 3 n = y, write down
`3^(1-2y+3x)` in terms of m an n
Express the following in a form free from logarithm:
5 log m - 1 = 3 log n
Prove that `("log"_"p" x)/("log"_"pq" x)` = 1 + logp q
If `"a" = "log""p"^2/"qr", "b" = "log""q"^2/"rp", "c" = "log""r"^2/"pq"`, find the value of a + b + c.