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

Solve for x : log (x² - 21) = 2.

योग

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

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

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State, true or false :
log x x log y = log x + log y