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Question
Solve the following:
log(x2 + 36) - 2log x = 1
Sum
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Solution
log(x2 + 36) - 2log x = 1
⇒ log (x2 + 36) - log x2 = 1
⇒ `"log"((x^2 + 36)/x^2)` = 1
= log 10
⇒ `((x^2 + 36)/x^2)` = 10
⇒ x2 + 36 = 10x2
⇒ 9x2 = 36
⇒ x2 = 4
⇒ x = 2.
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