Solve the Following: Log(X2 + 36) - 2log X = 1

Solve the following:
log(x²+ 36) - 2log x = 1

Sum

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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Chapter 7: Logarithms - Exercise 10.2

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