Advertisements
Advertisements
प्रश्न
State, true of false:
If `("log"49)/("log"7)` = log y, then y = 100.
पर्याय
True
False
Advertisements
उत्तर
True.
`("log"49)/("log"7)` = log y
⇒ `("log"7^2)/("log"7)` = log y
⇒ `(2"log"7)/("log"7)` = log y
⇒ 2(1) = log y
⇒ 2log10 10 = log y
⇒ log10 102 = log10 y
⇒ log10 100 = log10 y
⇒ y = 100.
APPEARS IN
संबंधित प्रश्न
Solve for x, if : logx49 - logx7 + logx `1/343` + 2 = 0
Evaluate : log38 ÷ log916
Evaluate: `(log_5 8)/(log_25 16 xx Log_100 10)`
Solve the following:
log(x2 + 36) - 2log x = 1
Solve the following:
log (x + 1) + log (x - 1) = log 48
If `"log" x^2 - "log"sqrt(y)` = 1, express y in terms of x. Hence find y when x = 2.
If a = `"log" 3/5, "b" = "log" 5/4 and "c" = 2 "log" sqrt(3/4`, prove that 5a+b-c = 1
Express the following in a form free from logarithm:
3 log x - 2 log y = 2
Prove that log (1 + 2 + 3) = log 1 + log 2 + log 3. Is it true for any three numbers x, y, z?
If log (a + 1) = log (4a - 3) - log 3; find a.
