Solve for X : Log (X2 - 21) = 2

Solve for x : log (x² - 21) = 2.

बेरीज

log ( x² - 21 ) = 2
⇒ log ( x² - 21) = log 100
⇒ x² - 21 - 100 = 0
⇒ x² - 121 = 0
⇒ x² = 121
⇒ x = `+- sqrt121`
⇒ x =`+-`11

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Laws of Logarithm

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पाठ 8: Logarithms - Exercise 8 (B) [पृष्ठ १०६]

पाठ 8 Logarithms
Exercise 8 (B) | Q 7.2 | पृष्ठ १०६

Express in terms of log 2 and log 3 : log 36

Express in terms of log 2 and log 3:

`log26/51 - log91/119`

Express the following in a form free from logarithm:
a log x - b log y = 2 log 3

Evaluate the following without using tables :
log 5 + log 8 - 2 log 2

Express log₁₀2 + 1 in the form of log₁₀x .

Solve for x : log (x - 2) + log (x + 2) = log 5

If log 2 = 0.3010 and log 3 = 0.4771; find the value of:

`2/3` log 8

Solve for x :
`log 225/log15` = log x

State, true or false :
If `log 25/log 5 = log x`, then x = 2.

If log₁₀ 8 = 0.90, find the value of:

log₁₀ 4