Solve for X: Log 1331 Log 11 = Logx - Mathematics

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

Sum

`("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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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 8.7

If x = log 0.6; y = log 1.25 and z = log 3 - 2 log 2, find the values of :
(i) x+y- z
(ii) 5^{x + y - z}

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Show that : log_a m ÷ log_ab m + 1 + log _ab

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Solve : log₅( x + 1 ) - 1 = 1 + log₅( x - 1 ).

Solve for x, if : log_x49 - log_x7 + log_x`1/343` + 2 = 0

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

Solve the following:
log(x²+ 36) - 2log x = 1

If log ₃ m = x and log₃ n = y, write down
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