Логарифмические уравнения (стр. 4 из 5)

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3 25		2		4 2	3		8
2	81	49	3 2	3 3	8	64	81
2	± 2	4	3	16		35
15	1		7	0	–40	–4	−
5		4	3	−	–3	–2	–3
2	–3	3	–5		−		−
32	–9	64	−		–125		−
log 53	log 46	log 87	log 92	log 38	log 74	log 59	log 25

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a b c d e f g h

5. Решить уравнения:

log4 | x | 0 = 1−x	(x2−4)log2 x=0	x2 −x = 0 log2 x	(5x x− 2)log5x2=0	x2 −9 = 0 1−log3 x	log3 x2 0 = x+1	x2 + 4x = 0 log (2 x+5)	1− | x | = 0 log−x 2
log 9 9x =x3	log 34 x = x	log 58 x =x2	log 32 x =− 1x	1 log3⎛⎜1⎞⎟x =−x ⎝ 2⎠	1 x log0,5⎛⎜ ⎞⎟ = 1 ⎝3⎠ x	log 43 =−	log 4 x =−x2
log 8| |x = 3	log 91 =−2 | |x	log 81x2 =−2	log 112 = 2 − x	log 3| |x =−2	log3x2 18= 2	log 1 25= 4	log 49x2 =
log 2x x2−3 = 0	1 log 25 x = 0	log x 3x2−2x = 0	log 5x x2− +4 3x =0	log 4x 1−x2 = 0	log 5x | | 2x+ = 0	logx2+13x x3− =0	log|x+1| 2x2+2x=0
4x2 =	1 10−| |x = 9	3−2x =4	1 7| |x =3	2 6 x = 2	1 5−x2 = 3	8−| |x =5	2 − 3 x =10
log2−x x= 0	log1−x(x− =2) 0	log (x x−1) = 0	log (2−x −x) = 0	log1 2− x(2 )x = 0	x log3−x = 0 2	log2+x(−x) = 0	log (2−x x+ =2) 0
1 log3 = 0 x	log (4 x2 + =2) 0	log9 x2 =1	2 log4 = 0 x	log 53 x = 0	log (5 x2 + =1) 1	log 62 x =1	log2 x2 = 0
log (3 x+1) = 2	log (14 − =x) 2	log (3 x−1) =−2	log (2 −x−1) =−3	log (22 −x) = 2	log (3 −x−2) =3	log (3 x+2) =−3	log (4 x− =−2) 2

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