Solve for x : log (x^2 − 21) = 2

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ log (x2 − 21) = 2 ⇒ log (x2 − 21) = 2 log 10 ⇒ log (x2 − 21) = log 100 ⇒ (x2 − 21) = 100 ⇒ x2 = 100 + 21 ⇒ x2 = 121 ⇒ x = ⇒ x = 11. Hence, the value of x = 11.

Mathematics

Solve for x :
log (x² − 21) = 2

Logarithms

Related Questions

Solve for x :
log (x + 4) − log (x − 4) = log 2

Solve for x :
log (x + 3) − log (x − 3) = 1

Solve for x :
2 log x + 1 = log 250

Mathematics

Solve for x :log (x2 − 21) = 2

Logarithms

Related Questions

Solve for x :log (x + 4) − log (x − 4) = log 2

Solve for x :log (x + 3) − log (x − 3) = 1

Solve for x :2 log x + 1 = log 250

Solve for x :
log (x² − 21) = 2

Solve for x :
log (x + 4) − log (x − 4) = log 2

Solve for x :
log (x + 3) − log (x − 3) = 1

Solve for x :
2 log x + 1 = log 250