Advertisements
Advertisements
प्रश्न
If log10 8 = 0.90; find the value of : log 0.125
उत्तर
Given that log108 = 0.90
⇒ log102 x 2 x 2 = 0.90
⇒ log1023 = 0.90
⇒ 3log102 = 0.90
⇒ log102 = `0.90/3`
⇒ log102 = 0.30 ...(1)
log 0.125
= log10`125/1000`
= log10`1/8`
= `log_10 (1/(2 xx 2 xx 2))`
= `log_10(1/2^3)`
= log102-3
= - 3 x ( 0.30 ) [ from(1) ]
= - 0.9
APPEARS IN
संबंधित प्रश्न
If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.
If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2
Simplify : log (a)3 - log a
Express the following in terms of log 2 and log 3: log 144
Express the following in terms of log 5 and/or log 2: log250
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
Express the following as a single logarithm:
`(1)/(2)"log"25 - 2"log"3 + "log"36`
If 2 log y - log x - 3 = 0, express x in terms of y.
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60
If log 4 = 0.6020, find the value of each of the following: log8
