Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11301	Solve for x	log of 2x-3- log of 7x=2	$\log (2 x - 3) - \log (7 x) = 2$
11302	Solve for x	log of 5 log base 2 of x=1	$\log (5 \log_{2} (x)) = 1$
11303	Solve for x	log of 7x+4- log of x-5=1	$\log (7 x + 4) - \log (x - 5) = 1$
11304	Solve for x	log of 7x-12=3 log of x	$\log (7 x - 12) = 3 \log (x)$
11305	Solve for x	log of x=3.0987	$\log (x) = 3.0987$
11306	Solve for x	log of x+7- log of 2 = log of 2x+1	$\log (x + 7) - \log (2) = \log (2 x + 1)$
11307	Solve for x	log of x-2- log of 2x+1 = log of 1/x	$\log (x - 2) - \log (2 x + 1) = \log (\frac{1}{x})$
11308	Solve for x	W=-66x^2+526x+1030	$W = - 66 x^{2} + 526 x + 1030$
11309	Solve for x	x-1/(2-3x)>(2x-1)/2+(6x+1)/(3x-2)	$x - \frac{1}{2 - 3 x} > \frac{2 x - 1}{2} + \frac{6 x + 1}{3 x - 2}$
11310	Solve for x	x+0.25x=531.25	$x + 0.25 x = 531.25$
11311	Solve for x	x+13=25	$x + 13 = 25$
11312	Solve for x	x+2(2x-3)=14	$x + 2 (2 x - 3) = 14$
11313	Solve for x	x+6<11	$x + 6 < 11$
11314	Solve for x	x+6y+16=0	$x + 6 y + 16 = 0$
11315	Solve for x	y-2x=1	$y - 2 x = 1$
11316	Solve for x	z=12x-19y	$z = 12 x - 19 y$
11317	Solve for x	z=15x+6y	$z = 15 x + 6 y$
11318	Solve for x1	3x1+4x2=20	$3 x \cdot 1 + 4 x \cdot 2 = 20$
11319	Solve for x1	5x1+3x2=10	$5 x \cdot 1 + 3 x \cdot 2 = 10$
11320	Solve for x1	x1+5x2=13	$x \cdot 1 + 5 x \cdot 2 = 13$
11321	Solve for y	0.03(100)+0.5y=50	$0.03 (100) + 0.5 y = 50$
11322	Solve for y	(-1+y)^2+y^2=421	${(- 1 + y)}^{2} + y^{2} = 421$
11323	Solve for y	(x^2)/(y^(1/2))=n	$\frac{x^{2}}{y^{\frac{1}{2}}} = n$
11324	Solve for y	1/x-1/y=1/k	$\frac{1}{x} - \frac{1}{y} = \frac{1}{k}$
11325	Solve for y	3/2y-2x=1	$\frac{3}{2} y - 2 x = 1$
11326	Solve for y	3^(2/y)=1/81	$3^{\frac{2}{y}} = \frac{1}{81}$
11327	Solve for y	-4/5y=6	$- \frac{4}{5} y = 6$
11328	Solve for y	log base 3 of 243=y	$\log_{3} (243) = y$
11329	Solve for y	square root of 3y+1=8	$\sqrt{3 y + 1} = 8$
11330	Solve for y	x/6-y/6=3	$\frac{x}{6} - \frac{y}{6} = 3$
11331	Find the Number of Possibilities	25 choose 5	${}_{25}C_{5}$
11332	Solve for y	y/3=4-y/6	$\frac{y}{3} = 4 - \frac{y}{6}$
11333	Solve for y	y/-5>3/2	$\frac{y}{- 5} > \frac{3}{2}$
11334	Solve for y	y/9=9	$\frac{y}{9} = 9$
11335	Solve for y	y/g=(gv)/v	$\frac{y}{g} = \frac{g v}{v}$
11336	Solve for x	3x-4y=-14	$3 x - 4 y = - 14$
11337	Solve for x	-2x-y^2=4	$- 2 x - y^{2} = 4$
11338	Solve for x	2x+11<25	$2 x + 11 < 25$
11339	Solve for x	-2x+16=4	$- 2 x + 16 = 4$
11340	Solve for x	2x+22=6x-2	$2 x + 22 = 6 x - 2$
11341	Solve for x	-2x+3=3x-6	$- 2 x + 3 = 3 x - 6$
11342	Solve for x	y>2-4x	$y > 2 - 4 x$
11343	Solve for x	y>5-10x	$y > 5 - 10 x$
11344	Solve for x	x+y-5z=-25	$x + y - 5 z = - 25$
11345	Solve for x	x=10000000(0.03/((1.03)^21-1))	$x = 10000000 (\frac{0.03}{{(1.03)}^{21} - 1})$
11346	Solve for x	x=(2000(0.003333333333333333333))/((1.0033333333333333333)^120-1)	$x = \frac{2000 (0.00\overline{3})}{{(1.00\overline{3})}^{120} - 1}$
11347	Solve for x	x=3500(0.124/((1.124)^12-1))	$x = 3500 (\frac{0.124}{{(1.124)}^{12} - 1})$
11348	Solve for x	x=(5000((1.06)^10-1))/0.06	$x = \frac{5000 ({(1.06)}^{10} - 1)}{0.06}$
11349	Solve for x	x=1/16+1(1/4)+2(3/8)+3(1/4)+4(1/16)	$x = \frac{1}{16} + 1 (\frac{1}{4}) + 2 (\frac{3}{8}) + 3 (\frac{1}{4}) + 4 (\frac{1}{16})$
11350	Solve for x	x=1/2a+1/2y	$x = \frac{1}{2} a + \frac{1}{2} y$
11351	Solve for x	x=(-16+ square root of (16)^2-4-1216)/(2(-12))	$x = \frac{- 16 + \sqrt{{(16)}^{2} - 4 \cdot - 12 \cdot 16}}{2 (- 12)}$
11352	Solve for x	x=(280+40 square root of 431)/8	$x = \frac{280 + 40 \sqrt{431}}{8}$
11353	Solve for x	x=520/(1-(1+0.052/12)^(-12*15))	$x = \frac{520}{1 - {(1 + \frac{0.052}{12})}^{- 12 \cdot 15}}$
11354	Solve for x	x=(7.5-10)/1.5	$x = \frac{7.5 - 10}{1.5}$
11355	Solve for x	x=0.13*70	$x = 0.13 \cdot 70$
11356	Solve for x	x=0(1/4)+1(1/2)+2(1/4)	$x = 0 (\frac{1}{4}) + 1 (\frac{1}{2}) + 2 (\frac{1}{4})$
11357	Solve for x	x=1(1/4)+2(1/4)+3(1/4)+4(1/4)	$x = 1 (\frac{1}{4}) + 2 (\frac{1}{4}) + 3 (\frac{1}{4}) + 4 (\frac{1}{4})$
11358	Solve for x	x=(376000(1-(1.0425)^-360))/0.0425	$x = \frac{376000 (1 - {(1.0425)}^{- 360})}{0.0425}$
11359	Solve for x	x=3y-1	$x = 3 y - 1$
11360	Solve for x	x=-5x^2+240x-2475	$x = - 5 x^{2} + 240 x - 2475$
11361	Solve for x	x=5800(1+0.08)^42	$x = 5800 {(1 + 0.08)}^{42}$
11362	Solve for x	x=9-10	$x = 9 - 10$
11363	Solve for x	x-4y>4	$x - 4 y > 4$
11364	Solve for x	x-5=-6	$x - 5 = - 6$
11365	Solve for x	x-9=-12	$x - 9 = - 12$
11366	Solve for x	xtan(21.833)=xtan(14.5)x+109tan(14.5)	$x \tan (21.833) = x \tan (14.5) x + 109 \tan (14.5)$
11367	Solve for x	xtan(21.833)=xtan(21.833)+109tan(14.5)	$x \tan (21.833) = x \tan (21.833) + 109 \tan (14.5)$
11368	Solve for x	x-x=8	$x - x = 8$
11369	Solve for x	x-y+3z=13	$x - y + 3 z = 13$
11370	Solve for x	y-y=m(x-x)	$y - y = m (x - x)$
11371	Solve for x	y<1/7x	$y < \frac{1}{7} x$
11372	Solve for x	y=(x-2)^2+2	$y = {(x - 2)}^{2} + 2$
11373	Solve for x	y=-5x+100	$y = - 5 x + 100$
11374	Solve for x	y=-5x-2	$y = - 5 x - 2$
11375	Solve for x	y=8-1/3x	$y = 8 - \frac{1}{3} x$
11376	Solve for x	y=- log of x	$y = - \log (x)$
11377	Solve for x	y=x-1/95x^3	$y = x - \frac{1}{95} x^{3}$
11378	Simplify	(-3x+3x^2)/(-24x+24)	$\frac{- 3 x + 3 x^{2}}{- 24 x + 24}$
11379	Simplify	((4x+3)(5)-(5x-2)*4)/((4x+3)^2)	$\frac{(4 x + 3) (5) - (5 x - 2) \cdot 4}{{(4 x + 3)}^{2}}$
11380	Simplify	(5+ square root of x+3)^2	${(5 + \sqrt{x + 3})}^{2}$
11381	Simplify	(6y^3+13y^2-10y-24)/(y+2)	$\frac{6 y^{3} + 13 y^{2} - 10 y - 24}{y + 2}$
11382	Simplify	(63x^5-28x^3)/(-7x)	$\frac{63 x^{5} - 28 x^{3}}{- 7 x}$
11383	Simplify	(8m^3+39m^2-12m-26)/(m+5)	$\frac{8 m^{3} + 39 m^{2} - 12 m - 26}{m + 5}$
11384	Simplify	(8x^2)/(56x)	$\frac{8 x^{2}}{56 x}$
11385	Simplify	((a+1)-8)/(-5-4)	$\frac{(a + 1) - 8}{- 5 - 4}$
11386	Simplify	(9^22^3 cube root of 2*27^-27)^2	${(9^{2} \cdot 2^{3} \cdot \sqrt[3]{2} \cdot 27^{- 27})}^{2}$
11387	Simplify	(a^2-b^2-3a-3b)/(4a-4b-12)	$\frac{a^{2} - b^{2} - 3 a - 3 b}{4 a - 4 b - 12}$
11388	Simplify	( cube root of 27xy^5)^2	${(\sqrt[3]{27 x y^{5}})}^{2}$
11389	Simplify	( ninth root of x)^9	${(\sqrt[9]{x})}^{9}$
11390	Simplify	(x^2-11x+30)/(x-6)	$\frac{x^{2} - 11 x + 30}{x - 6}$
11391	Simplify	(x^2-4xy)/x	$\frac{x^{2} - 4 x y}{x}$
11392	Simplify	(10x^3+7x^2-3x-1)/(2x+1)	$\frac{10 x^{3} + 7 x^{2} - 3 x - 1}{2 x + 1}$
11393	Simplify	(14x^4+4x^3+12)/(2x)	$\frac{14 x^{4} + 4 x^{3} + 12}{2 x}$
11394	Simplify	(-2x^2y^5)/((6x^3y)^3)	$\frac{- 2 x^{2} y^{5}}{{(6 x^{3} y)}^{3}}$
11395	Simplify	(2x^5-x^4+3x^2-x+5)/(x-1)	$\frac{2 x^{5} - x^{4} + 3 x^{2} - x + 5}{x - 1}$
11396	Simplify	(2x^5-3x^4+6x-2)/(x-3)	$\frac{2 x^{5} - 3 x^{4} + 6 x - 2}{x - 3}$
11397	Simplify	(2+2 square root of 116)/8	$\frac{2 + 2 \sqrt{116}}{8}$
11398	Simplify	(3m^8n^8+15m^7n^6+21m^11n^7)/(3m^2n)	$\frac{3 m^{8} n^{8} + 15 m^{7} n^{6} + 21 m^{11} n^{7}}{3 m^{2} n}$
11399	Simplify	(6 square root of 5-8 square root of 6)( square root of 5-6 square root of 6)	$(6 \sqrt{5 - 8} \sqrt{6}) (\sqrt{5} - 6 \sqrt{6})$
11400	Simplify	(8 square root of x+9)(7 square root of x-2)	$(8 \sqrt{x} + 9) (7 \sqrt{x} - 2)$