Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2801	Solve for x	5^(x-2)=4^(2x+3)	$5^{x - 2} = 4^{2 x + 3}$
2802	Solve for x	5^(x-3)=25	$5^{x - 3} = 25$
2803	Solve for x	5^(x+2)=7^(x-2)	$5^{x + 2} = 7^{x - 2}$
2804	Solve for x	5^(7x)=4.3	$5^{7 x} = 4.3$
2805	Solve for x	5^x+125(5^(-x))=30	$5^{x} + 125 (5^{- x}) = 30$
2806	Solve for x	5^(3x)=625	$5^{3 x} = 625$
2807	Solve for x	5^(3x+1)=125	$5^{3 x + 1} = 125$
2808	Solve for x	5^(2x)+5^x-6=0	$5^{2 x} + 5^{x} - 6 = 0$
2809	Solve for x	4^(x+2)=16^(3x-1)	$4^{x + 2} = 16^{3 x - 1}$
2810	Solve for x	4^(x+6)=5	$4^{x + 6} = 5$
2811	Solve for x	4^(x+7)=8^(x+3)	$4^{x + 7} = 8^{x + 3}$
2812	Solve for x	4^x(1/2)^(3-2x)=8(2^x)^2	$4^{x} \cdot {(\frac{1}{2})}^{3 - 2 x} = 8 \cdot {(2^{x})}^{2}$
2813	Solve for x	4^x=1/256	$4^{x} = \frac{1}{256}$
2814	Solve for x	4^(3x-7)=32^(2x)	$4^{3 x - 7} = 32^{2 x}$
2815	Solve for x	4^(5x)=16^(2x-1)	$4^{5 x} = 16^{2 x - 1}$
2816	Solve for x	5/(x-5)-13/(x^2-5x)=2	$\frac{5}{x - 5} - \frac{13}{x^{2} - 5 x} = 2$
2817	Solve for x	5^(9-3x)=125	$5^{9 - 3 x} = 125$
2818	Solve for x	5^(-x/100)=2	$5^{- \frac{x}{100}} = 2$
2819	Solve for x	4^(12-4x)=256	$4^{12 - 4 x} = 256$
2820	Solve for x	4/(x-1)+2/(x+1)=35/(x^2-1)	$\frac{4}{x - 1} + \frac{2}{x + 1} = \frac{35}{x^{2} - 1}$
2821	Solve for x	4^(1-2x)=2	$4^{1 - 2 x} = 2$
2822	Solve for x	4^(1-8x)=5^x	$4^{1 - 8 x} = 5^{x}$
2823	Solve for x	3^(x+3)=27^(x-2)	$3^{x + 3} = 27^{x - 2}$
2824	Solve for x	3^(x-1)=1/81	$3^{x - 1} = \frac{1}{81}$
2825	Solve for x	3^(5x+1)=9	$3^{5 x + 1} = 9$
2826	Solve for x	3^(x+4)=2^(1-3x)	$3^{x + 4} = 2^{1 - 3 x}$
2827	Solve for x	3^(3x+1)=9	$3^{3 x + 1} = 9$
2828	Solve for x	3^(4-x)=27^x	$3^{4 - x} = 27^{x}$
2829	Solve for x	3^(5x+6)=81^(2x+3)	$3^{5 x + 6} = 81^{2 x + 3}$
2830	Solve for x	3^(1-2x)=5^(x+5)	$3^{1 - 2 x} = 5^{x + 5}$
2831	Solve for x	3/(x-4)=1+5/(x+4)	$\frac{3}{x - 4} = 1 + \frac{5}{x + 4}$
2832	Solve for x	6^(2x)+6^x-30=0	$6^{2 x} + 6^{x} - 30 = 0$
2833	Solve for x	6^x=28	$6^{x} = 28$
2834	Solve for x	6^(x-2)=5^(2x+3)	$6^{x - 2} = 5^{2 x + 3}$
2835	Solve for x	60/(1+e^(-x))=4	$\frac{60}{1 + e^{- x}} = 4$
2836	Solve for x	(7x^2)/8=2(x-1)	$\frac{7 x^{2}}{8} = 2 (x - 1)$
2837	Solve for x	7/(2-x)=(10-4x)/(x^2+3x-10)	$\frac{7}{2 - x} = \frac{10 - 4 x}{x^{2} + 3 x - 10}$
2838	Solve for x	(7x)/(x-7)-4/x=28/(x^2-7x)	$\frac{7 x}{x - 7} - \frac{4}{x} = \frac{28}{x^{2} - 7 x}$
2839	Solve for x	8^(x+1)=16	$8^{x + 1} = 16$
2840	Solve for x	9^(2x)=27^(3x-4)	$9^{2 x} = 27^{3 x - 4}$
2841	Solve for x	8^(6+3x)=4^(x+1)	$8^{6 + 3 x} = 4^{x + 1}$
2842	Solve for x	9^x-3^x=0	$9^{x} - 3^{x} = 0$
2843	Solve for x	9^x-3^(x+1)+1=0	$9^{x} - 3^{x + 1} + 1 = 0$
2844	Solve for x	9^(4x-1)=27	$9^{4 x - 1} = 27$
2845	Solve for x	\|x+6\|=\|x-5\|	$\| x + 6 \| = \| x - 5 \|$
2846	Solve for x	9^(x+2)=27^(-x)	$9^{x + 2} = 27^{- x}$
2847	Solve for x	e^(2x)-e^x-2=0	$e^{2 x} - e^{x} - 2 = 0$
2848	Solve for x	e^(1-4x)=2	$e^{1 - 4 x} = 2$
2849	Solve for x	e^(2x)+e^x-12=0	$e^{2 x} + e^{x} - 12 = 0$
2850	Solve for x	e^(2x)+4e^x-12=0	$e^{2 x} + 4 e^{x} - 12 = 0$
2851	Solve for x	e^(-2x)=1/3	$e^{- 2 x} = \frac{1}{3}$
2852	Solve for x	e^(2x+5)=8	$e^{2 x + 5} = 8$
2853	Solve for x	e^(2x)-9e^x+14=0	$e^{2 x} - 9 e^{x} + 14 = 0$
2854	Solve for x	e^(2x)-4e^x=5	$e^{2 x} - 4 e^{x} = 5$
2855	Solve for x	e^(2x)-3e^x-4=0	$e^{2 x} - 3 e^{x} - 4 = 0$
2856	Solve for x	e^(2x)-2e^x-8=0	$e^{2 x} - 2 e^{x} - 8 = 0$
2857	Solve for x	e^(2x)+9e^x+36=0	$e^{2 x} + 9 e^{x} + 36 = 0$
2858	Solve for x	e^(-2x)=8	$e^{- 2 x} = 8$
2859	Solve for x	(ax+b)/(cx+d)=11	$\frac{a x + b}{c x + d} = 11$
2860	Solve for x	a^2x+(a-1)=(a+1)x	$a^{2} x + (a - 1) = (a + 1) x$
2861	Solve for x	e^(6x-1)=(e^2)^(-x)	$e^{6 x - 1} = {(e^{2})}^{- x}$
2862	Solve for x	e^(4x)-3e^(2x)-18=0	$e^{4 x} - 3 e^{2 x} - 18 = 0$
2863	Solve for x	e^(4x)+4e^(2x)-32=0	$e^{4 x} + 4 e^{2 x} - 32 = 0$
2864	Solve for x	e^(4x)+5e^(2x)-24=0	$e^{4 x} + 5 e^{2 x} - 24 = 0$
2865	Solve for x	e^(2x-1)=(e^3)^(-x)	$e^{2 x - 1} = {(e^{3})}^{- x}$
2866	Solve for x	e^(3x)=10	$e^{3 x} = 10$
2867	Solve for x	e^(-3x)=9	$e^{- 3 x} = 9$
2868	Solve for x	e^x-9+20e^(-x)=0	$e^{x} - 9 + 20 e^{- x} = 0$
2869	Solve for x	e^x=20.6	$e^{x} = 20.6$
2870	Solve for x	e^x=22	$e^{x} = 22$
2871	Solve for x	e^(-x)=2 natural log of x	$e^{- x} = 2 \ln (x)$
2872	Solve for x	e^x=3.7	$e^{x} = 3.7$
2873	Solve for x	e^x+5=60	$e^{x} + 5 = 60$
2874	Solve for x	sin(x)^2-sin(x)-2=0	$\sin^{2} (x) - \sin (x) - 2 = 0$
2875	Solve for x	tan(x)^2=4	$\tan^{2} (x) = 4$
2876	Solve for x	tan(x)^3=tan(x)	$\tan^{3} (x) = \tan (x)$
2877	Solve for x	square root of 2cos(2x)+1=0	$\sqrt{2} \cos (2 x) + 1 = 0$
2878	Solve for x	square root of 18x-9=x+4	$\sqrt{18 x - 9} = x + 4$
2879	Solve for x	tan(x)^2-tan(x)=0	$\tan^{2} (x) - \tan (x) = 0$
2880	Solve for x	square root of 2x+7-x=2	$\sqrt{2 x + 7} - x = 2$
2881	Solve for x	square root of x+ square root of x-20=10	$\sqrt{x} + \sqrt{x - 20} = 10$
2882	Solve for x	x^2=4x	$x^{2} = 4 x$
2883	Solve for x	square root of 3tan(x)-1=0	$\sqrt{3} \tan (x) - 1 = 0$
2884	Solve for x	log base x of 8=0.5	$\log_{x} (8) = 0.5$
2885	Solve for x	log base x of 8=2	$\log_{x} (8) = 2$
2886	Solve for x	log base x of 729=3	$\log_{x} (729) = 3$
2887	Solve for x	log base x of 729=3/2	$\log_{x} (729) = \frac{3}{2}$
2888	Solve for x	log base x of 3=1/2	$\log_{x} (3) = \frac{1}{2}$
2889	Solve for x	log base 9 of x+6+ log base 9 of x+3=2	$\log_{9} (x + 6) + \log_{9} (x + 3) = 2$
2890	Solve for x	log base 81 of x+ log base 9 of x+ log base 3 of x=14	$\log_{81} (x) + \log_{9} (x) + \log_{3} (x) = 14$
2891	Solve for x	log base x of 1/64=-3/2	$\log_{x} (\frac{1}{64}) = - \frac{3}{2}$
2892	Solve for x	log base x of 1/27=3	$\log_{x} (\frac{1}{27}) = 3$
2893	Solve for x	log base 64 of x+ log base 8 of x+ log base 2 of x=9	$\log_{64} (x) + \log_{8} (x) + \log_{2} (x) = 9$
2894	Solve for x	log base 7 of x=5	$\log_{7} (x) = 5$
2895	Solve for x	log base 8 of x+ log base 8 of x-3=2/3	$\log_{8} (x) + \log_{8} (x - 3) = \frac{2}{3}$
2896	Solve for x	log base 8 of x=4/3	$\log_{8} (x) = \frac{4}{3}$
2897	Solve for x	log base 8 of x+6=1- log base 8 of x+4	$\log_{8} (x + 6) = 1 - \log_{8} (x + 4)$
2898	Solve for x	square root of 2 square root of x+2 = square root of x+2	$\sqrt{2 \sqrt{x + 2}} = \sqrt{x + 2}$
2899	Solve for x	log base 7 of x+2=-2	$\log_{7} (x + 2) = - 2$
2900	Solve for x	log base 8 of x=3	$\log_{8} (x) = 3$