Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
19401	Solve for x	(1.1x- square root of x^2+9)/( square root of x^2+9)=0	$\frac{1.1 x - \sqrt{x^{2} + 9}}{\sqrt{x^{2} + 9}} = 0$
19402	Solve for x	1/x+1/y=1	$\frac{1}{x} + \frac{1}{y} = 1$
19403	Solve for x	(3^x)/19683=(3^x)^4	$\frac{3^{x}}{19683} = {(3^{x})}^{4}$
19404	Solve for x	10^(2-3x)=10^(5x-6)	$10^{2 - 3 x} = 10^{5 x - 6}$
19405	Solve for x	11^(x+2)=4^(7x)	$11^{x + 2} = 4^{7 x}$
19406	Solve for x	(17x)/(921-17x)=1	$\frac{17 x}{921 - 17 x} = 1$
19407	Solve for x	3/(x-3)-2/(x+3)=9/(x^2-9)	$\frac{3}{x - 3} - \frac{2}{x + 3} = \frac{9}{x^{2} - 9}$
19408	Solve for x	-20000/3x+60000=0	$- \frac{20000}{3} x + 60000 = 0$
19409	Solve for x	3^(2x)-18*3^x+81=0	$3^{2 x} - 18 \cdot 3^{x} + 81 = 0$
19410	Find the Derivative - d/dx	square root of 15x	$\sqrt{15 x}$
19411	Solve for x	-(24 square root of x)/x+2=0	$- \frac{24 \sqrt{x}}{x} + 2 = 0$
19412	Solve for x	-5/(x+2)*2/3=12	$- \frac{5}{x + 2} \cdot \frac{2}{3} = 12$
19413	Solve for x	(4x)/(x-9)=y	$\frac{4 x}{x - 9} = y$
19414	Solve for x	9^x-3^(x+1)=54	$9^{x} - 3^{x + 1} = 54$
19415	Solve for x	9^x+4^x-6^x-3^x=1	$9^{x} + 4^{x} - 6^{x} - 3^{x} = 1$
19416	Solve for x	(64x)/(3(16x^2-16)^(1/3))=0	$\frac{64 x}{3 {(16 x^{2} - 16)}^{\frac{1}{3}}} = 0$
19417	Solve for x	(dy)/(dx)=3x-2	$\frac{d y}{d x} = 3 x - 2$
19418	Solve for x	90/(1+e^(-x))=4	$\frac{90}{1 + e^{- x}} = 4$
19419	Solve for x	e^(-x^2)=e^(x^2-12x)	$e^{- x^{2}} = e^{x^{2} - 12 x}$
19420	Solve for x	0=10x^3-116640	$0 = 10 x^{3} - 116640$
19421	Solve for x	0=pi/2+picos((pix)/2)	$0 = \frac{π}{2} + π \cos (\frac{π x}{2})$
19422	Solve for x	108x-12x^2=0	$108 x - 12 x^{2} = 0$
19423	Solve for x	12x^2-128x+484=0	$12 x^{2} - 128 x + 484 = 0$
19424	Solve for x	12x^2-228x+740=0	$12 x^{2} - 228 x + 740 = 0$
19425	Solve for z	z=4cos(150)+isin(150)	$z = 4 \cos (150) + i \sin (150)$
19426	Find the 2nd Derivative	2csc(x)	$2 \csc (x)$
19427	Solve for x	12x^2=104	$12 x^{2} = 104$
19428	Solve for x	12x^3-12x^2=0	$12 x^{3} - 12 x^{2} = 0$
19429	Solve for x	12x^3-12x=0	$12 x^{3} - 12 x = 0$
19430	Solve for x	120x-12x^2=0	$120 x - 12 x^{2} = 0$
19431	Evaluate the Summation	sum from k=1 to 16 of k	$\sum_{k = 1}^{16} k$
19432	Solve for x	-12x=0	$- 12 x = 0$
19433	Solve for x	149-x-5(5x-4)-3(6x-5)=0	$149 - x - 5 (5 x - 4) - 3 (6 x - 5) = 0$
19434	Solve for x	198-x^2=48+1/2x^2	$198 - x^{2} = 48 + \frac{1}{2} x^{2}$
19435	Solve for x	x^5-8x^4+44x^3-91x^2+85x-26=0	$x^{5} - 8 x^{4} + 44 x^{3} - 91 x^{2} + 85 x - 26 = 0$
19436	Solve for x	0=12x^3-12x^2	$0 = 12 x^{3} - 12 x^{2}$
19437	Solve for x	0=4cos(4x)	$0 = 4 \cos (4 x)$
19438	Evaluate the Summation	sum from n=1 to 4 of 2n+0.5	$\sum_{n = 1}^{4} 2 n + 0.5$
19439	Solve for x	e^(2x-5)=10	$e^{2 x - 5} = 10$
19440	Solve for x	e^xy=1	$e^{x} y = 1$
19441	Find the 3rd Derivative	f(x) = natural log of x	$f (x) = \ln (x)$
19442	Solve for x	x^2-16x+65=0	$x^{2} - 16 x + 65 = 0$
19443	Solve for x	x^2+xy+y^2=7	$x^{2} + x y + y^{2} = 7$
19444	Evaluate the Integral	integral of (x+1)e^(7x^2+14x) with respect to x	$\int (x + 1) e^{7 x^{2} + 14 x} d x$
19445	Solve for x	x^2=sin(x)	$x^{2} = \sin (x)$
19446	Solve for x	x^(2/3)+y^(2/3)=4	$x^{\frac{2}{3}} + y^{\frac{2}{3}} = 4$
19447	Evaluate the Integral	integral of csc(4x) with respect to x	$\int \csc (4 x) d x$
19448	Solve for x	sin(3x)^2=0	$\sin^{2} (3 x) = 0$
19449	Solve for x	sec(x)^2+tan(x)-3=0	$\sec^{2} (x) + \tan (x) - 3 = 0$
19450	Solve for x	(sin(x))/(cos(x))=0	$\frac{\sin (x)}{\cos (x)} = 0$
19451	Solve for x	square root of 3^x=50	$\sqrt{3^{x}} = 50$
19452	Solve for x	square root of 25-x^2-(x^2)/( square root of 25-x^2)=0	$\sqrt{25 - x^{2}} - \frac{x^{2}}{\sqrt{25 - x^{2}}} = 0$
19453	Solve for x	sin(xy)^2+xy^2=x^3+1	$\sin^{2} (x y) + x y^{2} = x^{3} + 1$
19454	Solve for x	square root of 2cos((pi/4)+x)=0	$\sqrt{2} \cos ((\frac{π}{4}) + x) = 0$
19455	Solve for x	square root of 3=x(27)^(1/3)	$\sqrt{3} = x {(27)}^{\frac{1}{3}}$
19456	Solve for x	square root of 4-x^2-(x^2)/( square root of 4-x^2)=0	$\sqrt{4 - x^{2}} - \frac{x^{2}}{\sqrt{4 - x^{2}}} = 0$
19457	Solve for x	cube root of x+1-2=0	$\sqrt[3]{x} + 1 - 2 = 0$
19458	Solve for x	x/(1.07^30)=6030	$\frac{x}{{1.07}^{30}} = 6030$
19459	Solve for x	(-x)/(2(16-x^2)^(3/4))=-4	$\frac{- x}{2 {(16 - x^{2})}^{\frac{3}{4}}} = - 4$
19460	Solve for x	x/(2p)+x/8-11/4=0	$\frac{x}{2 p} + \frac{x}{8} - \frac{11}{4} = 0$
19461	Solve for x	-x/5=x/2	$- \frac{x}{5} = \frac{x}{2}$
19462	Solve for x	x/4+2 square root of x+15=x	$\frac{x}{4} + 2 \sqrt{x} + 15 = x$
19463	Solve for x	x/(x-6)-1/2=x/6+(x+6)/(6-x)	$\frac{x}{x - 6} - \frac{1}{2} = \frac{x}{6} + \frac{x + 6}{6 - x}$
19464	Solve for x	square root of x-5+5=5	$\sqrt{x - 5} + 5 = 5$
19465	Solve for x	square root of 3x+2+ square root of x+7=1	$\sqrt{3 x + 2} + \sqrt{x + 7} = 1$
19466	Solve for x	log base 3 of x+13 log base 3 of x^4=14	$\log_{3} (x) + 13 \log_{3} (x^{4}) = 14$
19467	Solve for x	log base 3 of 2x+5=5	$\log_{3} (2 x + 5) = 5$
19468	Solve for x	log base 5 of px=b	$\log_{5} (p x) = b$
19469	Solve for x	2x^2-3x=14	$2 x^{2} - 3 x = 14$
19470	Solve for x	log base 5 of x+ log base x of 25=3	$\log_{5} (x) + \log_{x} (25) = 3$
19471	Solve for x	e^(2x)=3x^2	$e^{2 x} = 3 x^{2}$
19472	Solve for x	log base 5 of x-7=2	$\log_{5} (x - 7) = 2$
19473	Solve for x	log base 6 of 4x-1=2	$\log_{6} (4 x - 1) = 2$
19474	Solve for x	log base x of 4=2/3	$\log_{x} (4) = \frac{2}{3}$
19475	Solve for x	log of x+9- log of x-9=1	$\log (x + 9) - \log (x - 9) = 1$
19476	Solve for x	e^(-x)=y	$e^{- x} = y$
19477	Solve for x	e^x-1=0	$e^{x} - 1 = 0$
19478	Solve for x	e^(e^x)=10	$e^{e^{x}} = 10$
19479	Solve for x	e^(x-1)=25	$e^{x - 1} = 25$
19480	Solve for x	e^(x+4)=10	$e^{x + 4} = 10$
19481	Solve for x	natural log of (x-2)^4=6	$\ln ({(x - 2)}^{4}) = 6$
19482	Solve for x	natural log of (x-5)^5=3	$\ln ({(x - 5)}^{5}) = 3$
19483	Solve for x	log base 2 of x+1+ log base 2 of x-3=5	$\log_{2} (x + 1) + \log_{2} (x - 3) = 5$
19484	Solve for x	e^x-2xe^x=0	$e^{x} - 2 x e^{x} = 0$
19485	Solve for x	log base 2 of x+2+ log base 2 of x-5=3	$\log_{2} (x + 2) + \log_{2} (x - 5) = 3$
19486	Solve for x	log base 2 of x+4+ log base 2 of x-4=1	$\log_{2} (x + 4) + \log_{2} (x - 4) = 1$
19487	Solve for x	e^(7-4x)=2	$e^{7 - 4 x} = 2$
19488	Solve for x	e^(7-4x)=6	$e^{7 - 4 x} = 6$
19489	Solve for x	e^(7x)=3	$e^{7 x} = 3$
19490	Solve for x	e^(7x+8)-5=0	$e^{7 x + 8} - 5 = 0$
19491	Solve for x	e^(3x-1)=1	$e^{3 x - 1} = 1$
19492	Solve for x	e^(3x-4)=2	$e^{3 x - 4} = 2$
19493	Solve for x	e^(5x)*e^( natural log of 5)=2	$e^{5 x} \cdot e^{\ln (5)} = 2$
19494	Solve for x	e^( natural log of x^2)-16=0	$e^{\ln (x^{2})} - 16 = 0$
19495	Solve for x	e^( natural log of x-3 natural log of x)=5/2	$e^{\ln (x) - 3 \ln (x)} = \frac{5}{2}$
19496	Solve for x	e^( natural log of x+1)=3	$e^{\ln (x + 1)} = 3$
19497	Solve for x	e^x(x+1)=0	$e^{x} (x + 1) = 0$
19498	Solve for x	e^x(x^2-144)=0	$e^{x} (x^{2} - 144) = 0$
19499	Solve for x	y=4x-x^2	$y = 4 x - x^{2}$
19500	Solve for x	e^x=e^(-2x)	$e^{x} = e^{- 2 x}$