Mathway | Problèmes fréquents

Problèmes fréquents

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