Solve for x : log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3 ⇒ log (x + 5)(x - 5) = log 2⁴ + log 3² ⇒ log (x² - 5x + 5x - 25) = log (2⁴ × 3²) ⇒ log (x² - 25) = log (16 × 9) ⇒ log (x² - 25) = log 144 ⇒ x² - 25 = 144 ⇒ x² = 144 + 25 ⇒ x² = 169 ⇒ x = . Since, x cannot be negative as that will make (x + 5) and (x - 5) negative. Hence, x = 13.

Mathematics

Solve for x :
log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3

Logarithms

Related Questions

Solve for x :
log (x² - 21) = 2

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log (x - 2) + log (x + 2) = log 5

Mathematics

Solve for x :log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3

Logarithms

Related Questions

Solve for x :log (x2 - 21) = 2

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

Solve for x :
log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3

Solve for x :
log (x² - 21) = 2

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