Solve for X: Log 121 Log 11 = Logx

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

Sum

`("log"121)/("log"11)` = logx

⇒ `("log"11^2)/("lo"11)` = logx

⇒ `(2"log"11)/("log"11)` = logx
= 2 = logx
⇒ 2log 10 = logx ...(since log 10 = 1)
⇒ log 10² = logx
∴ x = 10²
= 100.

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More About Logarithm

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Chapter 7: Logarithms - Exercise 10.2

Chapter 7 Logarithms
Exercise 10.2 | Q 8.4

If x = 1 + log 2 - log 5, y = 2 log3 and z = log a - log 5; find the value of a if x + y = 2z.

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}

If a² = log x, b³ = log y and 3a² - 2b³ = 6 log z, express y in terms of x and z .

State, true of false:
log_ba =-log_ab

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If 2 log x + 1 = log 360, find: log (3 x² - 8)

Express the following in a form free from logarithm:
m log x - n log y = 2 log 5

Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1

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.