równanie Ja: równanie: log_x10 + 2 log_10x10 − 3 log_100x10 = 0

ZKS: Dziedzina 0 < x ≠ 1

1		2		3
	+		−		= 0
log (x)		log (10x)		log (100x)

1		2		3
	+		−		= 0 / * log (x)(1 + log (x))(2 + log (x))
log (x)		1 + log (x)		2 + log (x)

(1 + log (x))(2 + log (x)) + 2log (x)(2 + log (x)) − 3log (x)(1 + log (x)) = 0 log (x) = t t² + 3t + 2 + 2t² + 4t − 3t² − 3t = 0

	1
4t + 2 = 0 ⇒ 4t = −2 ⇒ t = −
	2

	1		√10
log (x) = −		⇒ x =
	2		10

Skipper: .. moeże tak ...−

log100x10		log100x100
	+		−log100x1000=0
log100xx		log100x10x