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Популярные задачи

Рейтинг	Тема	Задача	Форматированная задача
10501	Risolvere per x	(1/8)^x=64	${(\frac{1}{8})}^{x} = 64$
10502	Risolvere per x	(1/9)^(x+3)=27^(x+3)	${(\frac{1}{9})}^{x + 3} = 27^{x + 3}$
10503	Risolvere per x	( логарифм по основанию x от x)^2- логарифм по основанию 2 от (x)^2=15	${\log_{x}}^{2} (x) - \log_{2} ({(x)}^{2}) = 15$
10504	Risolvere per x	( логарифм по основанию 6 от x)^2 = логарифм по основанию 6 от x	${\log_{6}}^{2} (x) = \log_{6} (x)$
10505	Risolvere per x	(9/16)^(3x-2)=(3/4)^(5x+4)	${(\frac{9}{16})}^{3 x - 2} = {(\frac{3}{4})}^{5 x + 4}$
10506	Risolvere per x	(9/16)^(x-1)=27/64	${(\frac{9}{16})}^{x - 1} = \frac{27}{64}$
10507	Risolvere per x	(e^x)^x*e^45=e^(14x)	${(e^{x})}^{x} \cdot e^{45} = e^{14 x}$
10508	Risolvere per x	(e^x)^xe^40=e^(13x)	${(e^{x})}^{x} e^{40} = e^{13 x}$
10509	Risolvere per x	(x^2-144)/19=12+x	$\frac{x^{2} - 144}{19} = 12 + x$
10510	Risolvere per x	(x^2-17)^2-16(x^2-17)+64=0	${(x^{2} - 17)}^{2} - 16 (x^{2} - 17) + 64 = 0$
10511	Risolvere per x	(0.25)^5=4^((5x-3)/3)(0.125)^(6x)	${(0.25)}^{5} = 4^{\frac{5 x - 3}{3}} {(0.125)}^{6 x}$
10512	Risolvere per x	(x^2-8)^2-2(x^2-8)=-1	${(x^{2} - 8)}^{2} - 2 (x^{2} - 8) = - 1$
10513	Risolvere per x	(2)^(3x)=128	${(2)}^{3 x} = 128$
10514	Risolvere per x	(2.221)^x=(1/2)(0.75^(x+2))	${(2.221)}^{x} = (\frac{1}{2}) ({0.75}^{x + 2})$
10515	Risolvere per x	(2x^2-3x-4)/(x-4)=0	$\frac{2 x^{2} - 3 x - 4}{x - 4} = 0$
10516	Risolvere per x	(3x+3)^2=25	${(3 x + 3)}^{2} = 25$
10517	Risolvere per x	\|2x-1\|=6	$\| 2 x - 1 \| = 6$
10518	Risolvere per x	(e^x-e^(-x))/2=4	$\frac{e^{x} - e^{- x}}{2} = 4$
10519	Risolvere per x	\|2x-12\|=6	$\| 2 x - 12 \| = 6$
10520	Risolvere per x	\|2x+5\|=13	$\| 2 x + 5 \| = 13$
10521	Risolvere per x	\|x^2-3x\|=-4x+6	$\| x^{2} - 3 x \| = - 4 x + 6$
10522	Risolvere per x	\|x^2-4\|=0	$\| x^{2} - 4 \| = 0$
10523	Risolvere per x	\|2x+4\|+2=10	$\| 2 x + 4 \| + 2 = 10$
10524	Risolvere per x	\|x^2-64\|=0	$\| x^{2} - 64 \| = 0$
10525	Risolvere per x	\|x^2-8x\|=9x	$\| x^{2} - 8 x \| = 9 x$
10526	Risolvere per x	\|2x\|=12	$\| 2 x \| = 12$
10527	Risolvere per x	(x^2-9x+14)/(4x-5)=0	$\frac{x^{2} - 9 x + 14}{4 x - 5} = 0$
10528	Risolvere per x	\|(2x-1)/(x+1)\|=5	$\| \frac{2 x - 1}{x + 1} \| = 5$
10529	Risolvere per x	( квадратный корень из 2)/2=x/18	$\frac{\sqrt{2}}{2} = \frac{x}{18}$
10530	Risolvere per x	(x^2-64)/(x-8)=0	$\frac{x^{2} - 64}{x - 8} = 0$
10531	Risolvere per x	( квадратный корень из 3)^x=9	${(\sqrt{3})}^{x} = 9$
10532	Risolvere per x	( квадратный корень из 7)^x=49	${(\sqrt{7})}^{x} = 49$
10533	Risolvere per x	( кубический корень из x-5)^2+14=50	${(\sqrt[3]{x - 5})}^{2} + 14 = 50$
10534	Risolvere per x	(e^x+81e^(-x))/2=9	$\frac{e^{x} + 81 e^{- x}}{2} = 9$
10535	Risolvere per x	(e^x+9e^(-x))/2=3	$\frac{e^{x} + 9 e^{- x}}{2} = 3$
10536	Risolvere per x	логарифм по основанию 2 от (x)^2+ логарифм по основанию 2 от x-6=0	$\log_{2} ({(x)}^{2}) + \log_{2} (x - 6) = 0$
10537	Risolvere per x	логарифм по основанию 2 от (x-1)^3+ логарифм по основанию 2 от 4=5	$\log_{2} ({(x - 1)}^{3}) + \log_{2} (4) = 5$
10538	Risolvere per x	(x-5)^2=27	${(x - 5)}^{2} = 27$
10539	Risolvere per x	(2^(x^2))/(64^x)=128	$\frac{2^{x^{2}}}{64^{x}} = 128$
10540	Risolvere per x	(x-5)^(3/2)=8	${(x - 5)}^{\frac{3}{2}} = 8$
10541	Risolvere per x	(x-6)^(2/3)=9	${(x - 6)}^{\frac{2}{3}} = 9$
10542	Risolvere per x	1/(8^(2x+1))=32^(x-3)	$\frac{1}{8^{2 x + 1}} = 32^{x - 3}$
10543	Risolvere per x	(e^x)/(x^3)=2x+1	$\frac{e^{x}}{x^{3}} = 2 x + 1$
10544	Risolvere per x	(e^x+36e^(-x))/2=6	$\frac{e^{x} + 36 e^{- x}}{2} = 6$
10545	Risolvere per x	логарифм по основанию 0.5 от (3x+1)^(1/3)=-2	$\log_{0.5} ({(3 x + 1)}^{\frac{1}{3}}) = - 2$
10546	Risolvere per x	(e^x-e^(-x))/2=1	$\frac{e^{x} - e^{- x}}{2} = 1$
10547	Risolvere per x	(e^x+e^(-x))/(e^x-e^(-x))=3	$\frac{e^{x} + e^{- x}}{e^{x} - e^{- x}} = 3$
10548	Risolvere per x	4/(3^(1-x))=5^x	$\frac{4}{3^{1 - x}} = 5^{x}$
10549	Risolvere per x	(9^(4x-1))/(27^(x+3))=81	$\frac{9^{4 x - 1}}{27^{x + 3}} = 81$
10550	Risolvere per x	\|7x-4\|-3=0	$\| 7 x - 4 \| - 3 = 0$
10551	Risolvere per x	\|3x-2\|=2 квадратный корень из x+8	$\| 3 x - 2 \| = 2 \sqrt{x + 8}$
10552	Risolvere per x	\|7x-6\|-1=0	$\| 7 x - 6 \| - 1 = 0$
10553	Risolvere per x	\|8x+3\|=7	$\| 8 x + 3 \| = 7$
10554	Risolvere per x	\|5x-8\|-7=0	$\| 5 x - 8 \| - 7 = 0$
10555	Risolvere per x	\|5x+4\|=-11	$\| 5 x + 4 \| = - 11$
10556	Risolvere per x	\|3x-9\|=6	$\| 3 x - 9 \| = 6$
10557	Risolvere per x	\|3x+1\|=5	$\| 3 x + 1 \| = 5$
10558	Risolvere per x	\|3x-2\|=5x+4	$\| 3 x - 2 \| = 5 x + 4$
10559	Risolvere per x	\|4x+2\|+8=15	$\| 4 x + 2 \| + 8 = 15$
10560	Risolvere per x	\|x-1\|+2=5	$\| x - 1 \| + 2 = 5$
10561	Risolvere per x	\|x+7\|+9=8	$\| x + 7 \| + 9 = 8$
10562	Risolvere per x	\|x+2\|=x+2	$\| x + 2 \| = x + 2$
10563	Risolvere per x	\|x+3\|=2x-2	$\| x + 3 \| = 2 x - 2$
10564	Risolvere per x	\|x+1\|=x^2-5	$\| x + 1 \| = x^{2} - 5$
10565	Risolvere per x	\|x-5\|=2	$\| x - 5 \| = 2$
10566	Risolvere per x	\|x-2\|-\|3x-8\|+\|x-7\|=-2	$\| x - 2 \| - \| 3 x - 8 \| + \| x - 7 \| = - 2$
10567	Risolvere per x	\|x-12\|=12	$\| x - 12 \| = 12$
10568	Risolvere per x	\|x-3\|=\|3x+1\|	$\| x - 3 \| = \| 3 x + 1 \|$
10569	Risolvere per x	\|x-4\|=\|8x+3\|	$\| x - 4 \| = \| 8 x + 3 \|$
10570	Risolvere per x	0.5^x=2	${0.5}^{x} = 2$
10571	Найти область определения	f(x) = square root of x^2-64	$f (x) = \sqrt{x^{2} - 64}$
10572	Risolvere per x	0.9^x=7	${0.9}^{x} = 7$
10573	Risolvere per x	1.06^x=4.1	${1.06}^{x} = 4.1$
10574	Risolvere per x	1.45^x=6.1	${1.45}^{x} = 6.1$
10575	Risolvere per x	1.2^x=0.5^(-x)	${1.2}^{x} = {0.5}^{- x}$
10576	Risolvere per x	1/(x^2-7x+10)=x/(x-5)+1/(x-2)	$\frac{1}{x^{2} - 7 x + 10} = \frac{x}{x - 5} + \frac{1}{x - 2}$
10577	Risolvere per x	1/10-9x=-9x+9/10	$\frac{1}{10} - 9 x = - 9 x + \frac{9}{10}$
10578	Risolvere per x	1/16=4^x	$\frac{1}{16} = 4^{x}$
10579	Risolvere per x	17^(-5x)=2^(-x+4)	$17^{- 5 x} = 2^{- x + 4}$
10580	Risolvere per x	19^x=143	$19^{x} = 143$
10581	Risolvere per x	2.3^(2x+1)=1.6^x	${2.3}^{2 x + 1} = {1.6}^{x}$
10582	Risolvere per x	16^x=8^(2x-1)	$16^{x} = 8^{2 x - 1}$
10583	Risolvere per x	16^(x+3)=4^(4x+7)	$16^{x + 3} = 4^{4 x + 7}$
10584	Risolvere per x	17^(-x-3)=16^(-8x)	$17^{- x - 3} = 16^{- 8 x}$
10585	Risolvere per x	16^(3x)=64	$16^{3 x} = 64$
10586	Risolvere per x	1400/x-1000/(x+50)=3	$\frac{1400}{x} - \frac{1000}{x + 50} = 3$
10587	Risolvere per x	125^x=625	$125^{x} = 625$
10588	Risolvere per x	13^(x-4)=11^(-7x)	$13^{x - 4} = 11^{- 7 x}$
10589	Risolvere per x	12^x=5^(x+4)	$12^{x} = 5^{x + 4}$
10590	Risolvere per x	12^(x-4)=3^(x-2)	$12^{x - 4} = 3^{x - 2}$
10591	Risolvere per x	10^x=42	$10^{x} = 42$
10592	Risolvere per x	(10x+3)/(5x+6)=1/2	$\frac{10 x + 3}{5 x + 6} = \frac{1}{2}$
10593	Risolvere per x	11^x=5	$11^{x} = 5$
10594	Risolvere per x	-12/(x^2-7x+10)=3/(x-5)+4/(x-2)	$\frac{- 12}{x^{2} - 7 x + 10} = \frac{3}{x - 5} + \frac{4}{x - 2}$
10595	Risolvere per x	12/x+3/4=3/2	$\frac{12}{x} + \frac{3}{4} = \frac{3}{2}$
10596	Risolvere per x	10^(x+1)=1/1000	$10^{x + 1} = \frac{1}{1000}$
10597	Risolvere per x	10^(-x)=5	$10^{- x} = 5$
10598	Risolvere per x	10^x=4.44	$10^{x} = 4.44$
10599	Risolvere per x	10^(2x)+6(10^x)-16=0	$10^{2 x} + 6 (10^{x}) - 16 = 0$
10600	Risolvere per x	10^(2x)-6*10^x-7=0	$10^{2 x} - 6 \cdot 10^{x} - 7 = 0$