Advertisements
Advertisements
प्रश्न
Prove that : If a log b + b log a - 1 = 0, then ba. ab = 10
Advertisements
उत्तर
Given that
a log b + b log a - 1 = 0
⇒ a log b + b log a = 1
⇒ log ba + logab =1
⇒ log ba + log ab = log 10
⇒ log ( ba . ab ) = log 10
⇒ ba . ab = 10
APPEARS IN
संबंधित प्रश्न
If x = (100)a , y = (10000)b and z = (10)c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.
Given: log3 m = x and log3 n = y.
If 2 log3 A = 5x - 3y; find A in terms of m and n.
Express the following in terms of log 5 and/or log 2: log20
Express the following in terms of log 5 and/or log 2: log125
Express the following in terms of log 5 and/or log 2: log500
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
Write the logarithmic equation for:
V = `(1)/("D"l) sqrt("T"/(pi"r")`
Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540
If log 4 = 0.6020, find the value of each of the following: log8
