Solve for X: Log 1331 Log 11 = Logx

Solve for x: `("log"1331)/("log"11)` = logx

बेरीज

`("log"1331)/("log"11)` = logx

⇒ `("log"11^3)/("log"11)` = logx

⇒ `(3"log"11)/(log"11)` = logx
⇒ 3 = logx
⇒ 3log10 = logx ...(since log10 = 1)
⇒ log 10³ = logx
∴ x = 10³
= 1000.

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More About Logarithm

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पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 8.7

If log`( a - b )/2 = 1/2( log a + log b )`, Show that : a² + b² = 6ab.

If a² + b² = 23ab, show that:

log `(a + b)/5 = 1/2`(log a + log b).

If log₂(x + y) = log₃(x - y) = `log 25/log 0.2`, find the values of x and y.

Evaluate : log₃8 ÷ log₉16

Solve the following:
log ( x + 1) + log ( x - 1) = log 11 + 2 log 3

Solve the following:
`log_2x + log_4x + log_16x = (21)/(4)`

Solve for x: `("log"121)/("log"11)` = logx

State, true of false:

If `("log"49)/("log"7)` = log y, then y = 100.

Prove that log (1 + 2 + 3) = log 1 + log 2 + log 3. Is it true for any three numbers x, y, z?

Prove that `("log"_"p" x)/("log"_"pq" x)` = 1 + log_p q