Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1201	Simplify	((2x^3)^2z^5)/(2z^9)	$\frac{{(2 x^{3})}^{2} z^{5}}{2 z^{9}}$
1202	Simplify	(9-x^2)(3-x)	$(9 - x^{2}) (3 - x)$
1203	Simplify	(7-i)(4+2i)	$(7 - i) (4 + 2 i)$
1204	Simplify	(8+4i)(6-8i)	$(8 + 4 i) (6 - 8 i)$
1205	Simplify	(5-3i)(2+4i)	$(5 - 3 i) (2 + 4 i)$
1206	Simplify	(3-2i)-(4+3i)	$(3 - 2 i) - (4 + 3 i)$
1207	Simplify	((x^8y^-4)/(16y^(4/3)))^(-1/4)	${(\frac{x^{8} y^{- 4}}{16 y^{\frac{4}{3}}})}^{- \frac{1}{4}}$
1208	Solve for t	5^(-t/2)=0.20	$5^{- \frac{t}{2}} = 0.2$
1209	Solve for t	sin(t)=( square root of 3)/2	$\sin (t) = \frac{\sqrt{3}}{2}$
1210	Solve for x	(x+3)^(2/3)=4	${(x + 3)}^{\frac{2}{3}} = 4$
1211	Solve for x	(1/4)^x=75	${(\frac{1}{4})}^{x} = 75$
1212	Solve for x	( square root of 3)^(x+1)=9^x	${(\sqrt{3})}^{x + 1} = 9^{x}$
1213	Solve for x	\|x-10\|=x^2-10x	$\| x - 10 \| = x^{2} - 10 x$
1214	Solve for x	10^x=7	$10^{x} = 7$
1215	Solve for x	10^(2x)+2(10^x)-24=0	$10^{2 x} + 2 (10^{x}) - 24 = 0$
1216	Solve for x	1/(x-1)-2/(x^2)=0	$\frac{1}{x - 1} - \frac{2}{x^{2}} = 0$
1217	Solve for x	1/2* natural log of x+3- natural log of x=0	$\frac{1}{2} \cdot \ln (x + 3) - \ln (x) = 0$
1218	Solve for x	1/3=3^(2x+2)	$\frac{1}{3} = 3^{2 x + 2}$
1219	Solve for x	1.2^x=(0.5)^(-x)	${1.2}^{x} = {(0.5)}^{- x}$
1220	Solve for x	1/2x-3/7=1-x/3	$\frac{1}{2} x - \frac{3}{7} = 1 - \frac{x}{3}$
1221	Solve for x	2^(x-1)=20	$2^{x - 1} = 20$
1222	Solve for x	2^(x^3-x)=1	$2^{x^{3} - x} = 1$
1223	Solve for x	2^(2x)-2^x-6=0	$2^{2 x} - 2^{x} - 6 = 0$
1224	Solve for x	2^(3x)=128	$2^{3 x} = 128$
1225	Solve for x	2^(2x)+2^x-42=0	$2^{2 x} + 2^{x} - 42 = 0$
1226	Solve for x	2^x*8^(-x)=4^x	$2^{x} \cdot 8^{- x} = 4^{x}$
1227	Solve for x	square root of 8x-1=3	$\sqrt{8 x - 1} = 3$
1228	Solve for ?	tan(x)=-3	$\tan (x) = - 3$
1229	Solve for ?	tan(x)=-4/3	$\tan (x) = - \frac{4}{3}$
1230	Solve for ?	sin(x)+cos(x)=0	$\sin (x) + \cos (x) = 0$
1231	Solve for ?	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
1232	Solve for ?	r=2-2cos(x)	$r = 2 - 2 \cos (x)$
1233	Solve for a	x/a+y/b+z/c=1	$\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$
1234	Solve for a	81=a^2	$81 = a^{2}$
1235	Solve for ?	(tan(x)-1)(sec(x)-1)=0	$(\tan (x) - 1) (\sec (x) - 1) = 0$
1236	Solve for ?	(tan(x)^2-9)(2cos(x)+1)=0	$(\tan^{2} (x) - 9) (2 \cos (x) + 1) = 0$
1237	Solve for ?	(2cos(x)-1)(sin(x)-1)=0	$(2 \cos (x) - 1) (\sin (x) - 1) = 0$
1238	Solve for ?	square root of 2cos(x)+1=0	$\sqrt{2} \cos (x) + 1 = 0$
1239	Solve for ?	sin(x)^2=3/4	$\sin^{2} (x) = \frac{3}{4}$
1240	Solve for ?	tan(x)^2=1/3	$\tan^{2} (x) = \frac{1}{3}$
1241	Solve for ?	sec(x)^2=4	$\sec^{2} (x) = 4$
1242	Solve for ?	csc(x)^2=6cot(x)+8	$\csc^{2} (x) = 6 \cot (x) + 8$
1243	Solve for ?	square root of 3sec(x)-2=0	$\sqrt{3} \sec (x) - 2 = 0$
1244	Solve for ?	4sin(x)+5=3	$4 \sin (x) + 5 = 3$
1245	Solve for g	t=gr+gvt	$t = g r + g v t$
1246	Solve for n	natural log of n^2+12 = natural log of -9n-2	$\ln (n^{2} + 12) = \ln (- 9 n - 2)$
1247	Solve for x	x^(4/3)=81	$x^{\frac{4}{3}} = 81$
1248	Solve for x	x^(3/4)=125	$x^{\frac{3}{4}} = 125$
1249	Solve for x	x^(2/3)=9	$x^{\frac{2}{3}} = 9$
1250	Solve for x	natural log of 1/x=-5	$\ln (\frac{1}{x}) = - 5$
1251	Solve for x	x^4+15x^3+40x^2-39x+55=0	$x^{4} + 15 x^{3} + 40 x^{2} - 39 x + 55 = 0$
1252	Solve for x	x^3-5x^2+17x-13=0	$x^{3} - 5 x^{2} + 17 x - 13 = 0$
1253	Solve for x	(x-2)/3+(x+5)/3=1/3	$\frac{x - 2}{3} + \frac{x + 5}{3} = \frac{1}{3}$
1254	Solve for x	(x+9)/(x-5)=(x-7)/(x+7)	$\frac{x + 9}{x - 5} = \frac{x - 7}{x + 7}$
1255	Solve for x	10sin(x)^2=10+5cos(x)	$10 \sin^{2} (x) = 10 + 5 \cos (x)$
1256	Solve for x	2(5^x)=32	$2 (5^{x}) = 32$
1257	Solve for x	16=2^(7x-5)	$16 = 2^{7 x - 5}$
1258	Solve for x	2sin(x)^2-9sin(x)+4=0	$2 \sin^{2} (x) - 9 \sin (x) + 4 = 0$
1259	Solve for x	2 square root of x+1- square root of 2x+3=1	$2 \sqrt{x + 1} - \sqrt{2 x + 3} = 1$
1260	Solve for x	2sin(2x)^2=1	$2 \sin^{2} (2 x) = 1$
1261	Solve for x	2 log base 3 of x-3=4	$2 \log_{3} (x - 3) = 4$
1262	Solve for x	2 log base 2 of x-9+ log base 2 of 2=3	$2 \log_{2} (x - 9) + \log_{2} (2) = 3$
1263	Solve for x	2 log base 3 of x=3 log base 3 of 5	$2 \log_{3} (x) = 3 \log_{3} (5)$
1264	Solve for x	3(x+3)=5(1-x)-1	$3 (x + 3) = 5 (1 - x) - 1$
1265	Solve for x	2x-5 = square root of x+4	$2 x - 5 = \sqrt{x + 4}$
1266	Solve for x	3(2^x)=42	$3 (2^{x}) = 42$
1267	Solve for x	2-3cos(x)=5+3cos(x)	$2 - 3 \cos (x) = 5 + 3 \cos (x)$
1268	Solve for x	2700=300*2^(10x)	$2700 = 300 \cdot 2^{10 x}$
1269	Solve for x	2cos(x/2) = square root of 3	$2 \cos (\frac{x}{2}) = \sqrt{3}$
1270	Solve for x	4e^(x+1)=5	$4 e^{x + 1} = 5$
1271	Solve for x	36(1/3)^(x/5)=4	$36 {(\frac{1}{3})}^{\frac{x}{5}} = 4$
1272	Solve for x	3cos(2x)-5cos(x)=1	$3 \cos (2 x) - 5 \cos (x) = 1$
1273	Solve for x	500e^(-x)=300	$500 e^{- x} = 300$
1274	Solve for x	6e^(5x-6)-4=50	$6 e^{5 x - 6} - 4 = 50$
1275	Solve for x	6(5^x)=7	$6 (5^{x}) = 7$
1276	Solve for x	6e^(-1.4x)=21	$6 e^{- 1.4 x} = 21$
1277	Solve for x	6e^(2x)+5e^x-4=0	$6 e^{2 x} + 5 e^{x} - 4 = 0$
1278	Solve for x	5(10^(x-6))=7	$5 (10^{x - 6}) = 7$
1279	Solve for x	log base 12 of 2x-1- log base 12 of x-2=1	$\log_{12} (2 x - 1) - \log_{12} (x - 2) = 1$
1280	Solve for x	log base 2 of x+15=4	$\log_{2} (x + 15) = 4$
1281	Solve for x	log base 4 of x-1=3	$\log_{4} (x - 1) = 3$
1282	Solve for x	log base 5 of 125^x=-3	$\log_{5} (125^{x}) = - 3$
1283	Solve for x	log base 5 of x+ log base 5 of x-4=1	$\log_{5} (x) + \log_{5} (x - 4) = 1$
1284	Solve for x	log base 5 of 2x+3 = log base 5 of 3	$\log_{5} (2 x + 3) = \log_{5} (3)$
1285	Solve for x	log base 3 of x^2-2x-26=2	$\log_{3} (x^{2} - 2 x - 26) = 2$
1286	Solve for x	log base 8 of x+5- log base 8 of x-2=1	$\log_{8} (x + 5) - \log_{8} (x - 2) = 1$
1287	Solve for x	log base 9 of x+6- log base 9 of x = log base 9 of 2	$\log_{9} (x + 6) - \log_{9} (x) = \log_{9} (2)$
1288	Solve for x	log base x of 49=2	$\log_{x} (49) = 2$
1289	Solve for x	log base x of 512=3/2	$\log_{x} (512) = \frac{3}{2}$
1290	Solve for x	log base x of 75=2	$\log_{x} (75) = 2$
1291	Solve for x	sec(x)^2-2tan(x)=4	$\sec^{2} (x) - 2 \tan (x) = 4$
1292	Solve for x	square root of 5x+11- square root of 3x+10=1	$\sqrt{5 x + 11} - \sqrt{3 x + 10} = 1$
1293	Solve for x	square root of 3sin(2x)=cos(2x)	$\sqrt{3} \sin (2 x) = \cos (2 x)$
1294	Solve for x	e^x-20e^(-x)-1=0	$e^{x} - 20 e^{- x} - 1 = 0$
1295	Solve for x	e^(2x-1)=e^4	$e^{2 x - 1} = e^{4}$
1296	Solve for x	e^(3x)=e^(2-x)	$e^{3 x} = e^{2 - x}$
1297	Solve for x	e^(4x)+2e^(2x)-15=0	$e^{4 x} + 2 e^{2 x} - 15 = 0$
1298	Solve for x	e^(4x)=5.7	$e^{4 x} = 5.7$
1299	Solve for x	e^(2x)-10e^x+9=0	$e^{2 x} - 10 e^{x} + 9 = 0$
1300	Solve for x	e^(2x)-9e^x+8=0	$e^{2 x} - 9 e^{x} + 8 = 0$