Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
54701	Solve for x	e^(4x)+4e^(2x)-21=0	$e^{4 x} + 4 e^{2 x} - 21 = 0$
54702	Solve by Graphing	y=-1/2x+5 y=1/2x+6	$y = - \frac{1}{2} x + 5$ $y = \frac{1}{2} x + 6$
54703	Simplify	( square root of 75a+ square root of 12a- square root of 27a)/( square root of 3a)	$\frac{\sqrt{75 a} + \sqrt{12 a} - \sqrt{27 a}}{\sqrt{3 a}}$
54704	Solve for x	e^(2x)-7e^x+12=0	$e^{2 x} - 7 e^{x} + 12 = 0$
54705	Solve for x	e^(2x)=10	$e^{2 x} = 10$
54706	Solve for x	e^(x^2)=e^(3x)*1/(e^2)	$e^{x^{2}} = e^{3 x} \cdot \frac{1}{e^{2}}$
54707	Solve for x	log base 3 of x=-1	$\log_{3} (x) = - 1$
54708	Solve for x	log base 25 of x=5/2	$\log_{25} (x) = \frac{5}{2}$
54709	Solve for x	log base 3 of 1/9=x	$\log_{3} (\frac{1}{9}) = x$
54710	Solve by Graphing	y=-1/3x y=-1/3x-5	$y = - \frac{1}{3} x$ $y = - \frac{1}{3} x - 5$
54711	Solve for x	e^(x+3)=1/e	$e^{x + 3} = \frac{1}{e}$
54712	Solve for x	log base x of 169=2	$\log_{x} (169) = 2$
54713	Solve for x	log base 4 of 8x=3	$\log_{4} (8 x) = 3$
54714	Solve for x	log base 49 of 1/7=x	$\log_{49} (\frac{1}{7}) = x$
54715	Solve for x	log base 5 of x- log base 5 of x-2=3	$\log_{5} (x) - \log_{5} (x - 2) = 3$
54716	Solve for x	log base 6 of x=4	$\log_{6} (x) = 4$
54717	Solve by Graphing	y=1/(x-3) y=3-x^3	$y = \frac{1}{x - 3}$ $y = 3 - x^{3}$
54718	Solve for x	log base 5 of x-7=1- log base 5 of x-3	$\log_{5} (x - 7) = 1 - \log_{5} (x - 3)$
54719	Solve for x	log base 9 of x^2-8x=1	$\log_{9} (x^{2} - 8 x) = 1$
54720	Solve by Graphing	y=2/3x-5 4x-6y=30	$y = \frac{2}{3} x - 5$ $4 x - 6 y = 30$
54721	Solve for x	log base x of 1/16=-4	$\log_{x} (\frac{1}{16}) = - 4$
54722	Solve for x	5^(x-2)=3^(2x)	$5^{x - 2} = 3^{2 x}$
54723	Solve for x	5^(3x)=25	$5^{3 x} = 25$
54724	Solve for x	5^(3x-1)=25	$5^{3 x - 1} = 25$
54725	Solve for x	6^x=46656	$6^{x} = 46656$
54726	Solve by Graphing	y=\|x^2-3x+1\| , y=x-1	$y = \| x^{2} - 3 x + 1 \|$ , $y = x - 1$
54727	Solve for x	7^(6x)=12	$7^{6 x} = 12$
54728	Solve for x	7/9x+7=8x+4/9	$\frac{7}{9} x + 7 = 8 x + \frac{4}{9}$
54729	Solve by Graphing	y=2x y=x^2-3	$y = 2 x$ $y = x^{2} - 3$
54730	Solve for x	7^(x+2)=410	$7^{x + 2} = 410$
54731	Solve for x	3^(x+2)=27	$3^{x + 2} = 27$
54732	Solve for x	3^(x-5)=27	$3^{x - 5} = 27$
54733	Solve by Graphing	y=2x+1 y=-3x-1	$y = 2 x + 1$ $y = - 3 x - 1$
54734	Solve for x	3^x=13	$3^{x} = 13$
54735	Solve for x	3^(1+2x)=243	$3^{1 + 2 x} = 243$
54736	Solve for x	3/(x-2)=12/(x^2-4)	$\frac{3}{x - 2} = \frac{12}{x^{2} - 4}$
54737	Solve for x	3^(2x)+3^x-2=0	$3^{2 x} + 3^{x} - 2 = 0$
54738	Solve by Graphing	y=2x+8 5x+y=-6	$y = 2 x + 8$ $5 x + y = - 6$
54739	Solve for x	3^(2x-1)=3^(x+2)	$3^{2 x - 1} = 3^{x + 2}$
54740	Solve for x	(3x)/5=(2x)/3+1	$\frac{3 x}{5} = \frac{2 x}{3} + 1$
54741	Solve by Graphing	y=2x-1 y=2x+6	$y = 2 x - 1$ $y = 2 x + 6$
54742	Solve for x	-4/9*(2x-4)=48	$- \frac{4}{9} \cdot (2 x - 4) = 48$
54743	Solve for x	4^(7+3x)=1/16	$4^{7 + 3 x} = \frac{1}{16}$
54744	Solve by Graphing	y=2x-4 y=-x+5	$y = 2 x - 4$ $y = - x + 5$
54745	Solve by Graphing	y=-2x-5 y=x-2	$y = - 2 x - 5$ $y = x - 2$
54746	Write in Standard Form	(7+3i)/(2-5i)	$\frac{7 + 3 i}{2 - 5 i}$
54747	Solve for x	x^3=-27	$x^{3} = - 27$
54748	Convert to Scientific Notation	25.4	$25.4$
54749	Multiply	(x^2+6x+9)(3x-1)	$(x^{2} + 6 x + 9) (3 x - 1)$
54750	Solve for x	x^2-2x=15	$x^{2} - 2 x = 15$
54751	Solve for x	(x-4)/(y+2)=5	$\frac{x - 4}{y + 2} = 5$
54752	Solve for x	0.5(5-7x)=8-(4x+6)	$0.5 (5 - 7 x) = 8 - (4 x + 6)$
54753	Solve for x	x/2-3(x-1)=5x-7	$\frac{x}{2} - 3 (x - 1) = 5 x - 7$
54754	Solve for x	x/3=8	$\frac{x}{3} = 8$
54755	Solve for x	x/3-1/2=3/4	$\frac{x}{3} - \frac{1}{2} = \frac{3}{4}$
54756	Solve by Graphing	y=-9x^2 , y=1/3x^2 , y=-1/2x^2	$y = - 9 x^{2}$ , $y = \frac{1}{3} x^{2}$ , $y = - \frac{1}{2} x^{2}$
54757	Solve for x	x/4=9	$\frac{x}{4} = 9$
54758	Solve by Graphing	y=f(x-2)	$y = f (x - 2)$
54759	Solve by Graphing	y=f(x-4)	$y = f (x - 4)$
54760	Simplify	(3x)/(x^2+2x+1)+2/(x^2-4x-5)	$\frac{3 x}{x^{2} + 2 x + 1} + \frac{2}{x^{2} - 4 x - 5}$
54761	Solve for x	x^(1/3)=4	$x^{\frac{1}{3}} = 4$
54762	Solve by Graphing	y=-x^2+2 y=x-4	$y = - x^{2} + 2$ $y = x - 4$
54763	Solve for x	x/6=10	$\frac{x}{6} = 10$
54764	Solve for x	x/7-1=x/9+5	$\frac{x}{7} - 1 = \frac{x}{9} + 5$
54765	Solve for x	x/8-1/2=6	$\frac{x}{8} - \frac{1}{2} = 6$
54766	Simplify	(2/x-4/y)/(-5/y+3/x)	$\frac{\frac{2}{x} - \frac{4}{y}}{\frac{- 5}{y} + \frac{3}{x}}$
54767	Evaluate	log of 4/3	$\log (\frac{4}{3})$
54768	Solve for x	x^2+6x-1=0	$x^{2} + 6 x - 1 = 0$
54769	Solve by Graphing	y=-x+2 y=x^2-6x+8	$y = - x + 2$ $y = x^{2} - 6 x + 8$
54770	Solve Using the Quadratic Formula	x^2+4x+4=12	$x^{2} + 4 x + 4 = 12$
54771	Solve by Graphing	y=-x+2 , y=-3x-6	$y = - x + 2$ , $y = - 3 x - 6$
54772	Solve for x	-2(3x-4)=2x	$- 2 (3 x - 4) = 2 x$
54773	Solve for x	2(5^x)-1=15	$2 (5^{x}) - 1 = 15$
54774	Solve by Graphing	y=x+4 y=-x-6	$y = x + 4$ $y = - x - 6$
54775	Solve for x	-2(x+3)=4x-3	$- 2 (x + 3) = 4 x - 3$
54776	Solve for x	0=4+x/5	$0 = 4 + \frac{x}{5}$
54777	Solve by Graphing	y=x-1 y=2x+1	$y = x - 1$ $y = 2 x + 1$
54778	Solve for x	11=3x-7	$11 = 3 x - 7$
54779	Solve by Graphing	y=x-1 y=2x+3	$y = x - 1$ $y = 2 x + 3$
54780	Solve for x	6x^2+9x+1=0	$6 x^{2} + 9 x + 1 = 0$
54781	Solve for x	6x^2+3x-1=0	$6 x^{2} + 3 x - 1 = 0$
54782	Solve for x	6+2 natural log of x=5	$6 + 2 \ln (x) = 5$
54783	Solve for x	5x-5=30	$5 x - 5 = 30$
54784	Solve for x	-5x=0	$- 5 x = 0$
54785	Solve for x	6 natural log of 2x=30	$6 \ln (2 x) = 30$
54786	Solve by Graphing	y=x-2 y=x^2-6x+8	$y = x - 2$ $y = x^{2} - 6 x + 8$
54787	Solve by Graphing	y=x-2 , -x+y=-5	$y = x - 2$ , $- x + y = - 5$
54788	Solve for x	5x^2=35	$5 x^{2} = 35$
54789	Solve for x	4x=y	$4 x = y$
54790	Solve for x	-4x=-20	$- 4 x = - 20$
54791	Solve for x	4x-1=0	$4 x - 1 = 0$
54792	Solve for x	5(2x-3)=15	$5 (2 x - 3) = 15$
54793	Solve for x	4x-y=9	$4 x - y = 9$
54794	Solve by Graphing	y=x-8 y=x^2-2x-3	$y = x - 8$ $y = x^{2} - 2 x - 3$
54795	Solve for x	natural log of 2+x=1	$\ln (2 + x) = 1$
54796	Solve for x	natural log of -3x-1- natural log of 7=2	$\ln (- 3 x - 1) - \ln (7) = 2$
54797	Solve for x	natural log of x+ natural log of x-1 = natural log of 6	$\ln (x) + \ln (x - 1) = \ln (6)$
54798	Solve for x	dx+fy=l	$d x + f y = l$
54799	Solve for x	natural log of square root of x+2=1	$\ln (\sqrt{x + 2}) = 1$
54800	Solve for x	7x-5=72	$7 x - 5 = 72$