zadania dla Syty Julek: 1) log₆ √6 log₆ √6 = x 6^x = 6^1/2

	1
x =
	2

2) log₅ 0,2 = x

	2
5x =
	10

	1
5x =
	5

5^x = 5⁻¹ x = −1 3)

log6125
	= log5125
log65

log₅125 = x 5^x = 125 5^x = 5³ x = 3 4) log₂ p = 3 p>0 2³ = p p = 8 log_1/2 p = −2 p>0

	1
(		)−2 = p
	2

2² = p p = 4 log_p (5p − 4) = 2

	4
p >
	5

p≠1 p>0 p² = 5p − 4 p² − 5p + 4 = 0 p² − 4p − p + 4 = 0 p(p − 4) − (p − 4) = 0 (p−4)(p−1) = 0 p₁ = 4 p₂ = 1 ∉D Odp : p = 4 Zadania dla Syty ; D