Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11201	Solve for x	2 log base 5 of x+4 = log base 5 of 5+1	$2 \log_{5} (x + 4) = \log_{5} (5 + 1)$
11202	Solve for x	-2 log base 5 of x=2	$- 2 \log_{5} (x) = 2$
11203	Solve for x	2 log base 6 of x-5+ log base 6 of 4=2	$2 \log_{6} (x - 5) + \log_{6} (4) = 2$
11204	Solve for x	2 log base 8 of x-2+ log base 8 of 16=2	$2 \log_{8} (x - 2) + \log_{8} (16) = 2$
11205	Solve for x	2 log base 7 of 1-x = log base 7 of 7-x	$2 \log_{7} (1 - x) = \log_{7} (7 - x)$
11206	Solve for x	\|2x-3\|=6	$\| 2 x - 3 \| = 6$
11207	Solve for x	2-3/(x+4)=12/(x^2+4x)	$2 - \frac{3}{x + 4} = \frac{12}{x^{2} + 4 x}$
11208	Solve for x	2-1/x-9/(x^2)=0	$2 - \frac{1}{x} - \frac{9}{x^{2}} = 0$
11209	Solve for x	2\|4x-3\|+2x=4x-3	$2 \| 4 x - 3 \| + 2 x = 4 x - 3$
11210	Solve for x	2\|6x+1\|+1=4	$2 \| 6 x + 1 \| + 1 = 4$
11211	Solve for x	2cos(x)^2+5cos(x)+2=0	$2 \cos^{2} (x) + 5 \cos (x) + 2 = 0$
11212	Solve for x	2cos(x)^2=1-cos(x)	$2 \cos^{2} (x) = 1 - \cos (x)$
11213	Solve for x	2cos(x)^2-cos(x)-3=0	$2 \cos^{2} (x) - \cos (x) - 3 = 0$
11214	Solve for x	2e^(2x)-9e^x+4=0	$2 e^{2 x} - 9 e^{x} + 4 = 0$
11215	Solve for x	16^x-13*4^x+12=0	$16^{x} - 13 \cdot 4^{x} + 12 = 0$
11216	Solve for x	2cos(x)^3+cos(x)^2-2cos(x)-1=0	$2 \cos^{3} (x) + \cos^{2} (x) - 2 \cos (x) - 1 = 0$
11217	Solve for x	2 log base 2 of x+1 = log base 2 of 4+2	$2 \log_{2} (x + 1) = \log_{2} (4) + 2$
11218	Solve for x	2 log base 2 of x- log base 2 of x+5=4	$2 \log_{2} (x) - \log_{2} (x + 5) = 4$
11219	Solve for x	2e^(2x)-11e^x+5=0	$2 e^{2 x} - 11 e^{x} + 5 = 0$
11220	Solve for x	2e^(5x)=18	$2 e^{5 x} = 18$
11221	Solve for x	2e^x=25	$2 e^{x} = 25$
11222	Solve for x	2 log base 2 of x-7+ log base 2 of 4=4	$2 \log_{2} (x - 7) + \log_{2} (4) = 4$
11223	Solve for x	2 log base 4 of x=3 log base 4 of 2+ log base 4 of 8	$2 \log_{4} (x) = 3 \log_{4} (2) + \log_{4} (8)$
11224	Solve for x	2 log base 2 of x-4+ log base 2 of 2=3	$2 \log_{2} (x - 4) + \log_{2} (2) = 3$
11225	Solve for x	2 log base 2 of x-5+ log base 2 of 8=5	$2 \log_{2} (x - 5) + \log_{2} (8) = 5$
11226	Solve for x	3\|x\|+14=13	$3 \| x \| + 14 = 13$
11227	Solve for x	3\|x+2\|=2\|x-1\|-1	$3 \| x + 2 \| = 2 \| x - 1 \| - 1$
11228	Solve for x	3.4e^(-x/3)=5.6	$3.4 e^{- \frac{x}{3}} = 5.6$
11229	Solve for x	3(2)^(x-2)+1=100	$3 {(2)}^{x - 2} + 1 = 100$
11230	Solve for x	3(2^(3x-1))+5=101	$3 (2^{3 x - 1}) + 5 = 101$
11231	Solve for x	3*4^(2x-1)+4=14	$3 \cdot 4^{2 x - 1} + 4 = 14$
11232	Solve for x	3*4^(2x-3)+6=16	$3 \cdot 4^{2 x - 3} + 6 = 16$
11233	Solve for x	3*5^(2x-1)=75	$3 \cdot 5^{2 x - 1} = 75$
11234	Solve for x	-3*e^(5x)=-88	$- 3 \cdot e^{5 x} = - 88$
11235	Solve for x	3.5=2 natural log of x	$3.5 = 2 \ln (x)$
11236	Solve for x	x^2+15x+ square root of x^2+15x=20	$x^{2} + 15 x + \sqrt{x^{2} + 15 x} = 20$
11237	Solve for x	3(2x)=42	$3 (2 x) = 42$
11238	Solve for x	3(x-4)-4(x-3)=x+3-(x-3)	$3 (x - 4) - 4 (x - 3) = x + 3 - (x - 3)$
11239	Solve for x	3(2x-1)=7x-(3-5x)+(-x+24)	$3 (2 x - 1) = 7 x - (3 - 5 x) + (- x + 24)$
11240	Solve for x	3(3x+1)=7-5(3x-3)	$3 (3 x + 1) = 7 - 5 (3 x - 3)$
11241	Solve for x	3(3x+1)-8x=8	$3 (3 x + 1) - 8 x = 8$
11242	Solve for x	2sin(x-pi/4)+ square root of 3=0	$2 \sin (x - \frac{π}{4}) + \sqrt{3} = 0$
11243	Solve for x	x = square root of 5-x^2-1	$x = \sqrt{5 - x^{2}} - 1$
11244	Solve for x	(x^2-5)^(3/2)=27	${(x^{2} - 5)}^{\frac{3}{2}} = 27$
11245	Solve for x	\|x^2-2x\|=8	$\| x^{2} - 2 x \| = 8$
11246	Solve for x	2sin(x)-csc(x)=0	$2 \sin (x) - \csc (x) = 0$
11247	Solve for x	2x+ square root of x+13=10	$2 x + \sqrt{x + 13} = 10$
11248	Solve for x	2x+7=31	$2 x + 7 = 31$
11249	Solve for x	2x=4+ square root of 7x-12	$2 x = 4 + \sqrt{7 x - 12}$
11250	Solve for x	2x+4-x=4x-5	$2 x + 4 - x = 4 x - 5$
11251	Solve for x	3x^2=75x	$3 x^{2} = 75 x$
11252	Solve for x	3x^(-1/2)=27	$3 x^{- \frac{1}{2}} = 27$
11253	Solve for x	3x^2- square root of 11x-2=0	$3 x^{2} - \sqrt{11 x} - 2 = 0$
11254	Solve for x	3x^(1/2)+5x^(1/4)=2	$3 x^{\frac{1}{2}} + 5 x^{\frac{1}{4}} = 2$
11255	Solve for x	3tan(3)^3=tan(x)	$3 \tan^{3} (3) = \tan (x)$
11256	Solve for x	3x^2+13x-5=5	$3 x^{2} + 13 x - 5 = 5$
11257	Solve for x	3 square root of 3tan(x)=3	$3 \sqrt{3} \tan (x) = 3$
11258	Solve for x	3 log base 2 of x-1=5- log base 2 of 4	$3 \log_{2} (x - 1) = 5 - \log_{2} (4)$
11259	Solve for x	3 log base 2 of x+1=7	$3 \log_{2} (x + 1) = 7$
11260	Solve for x	3 log base 2 of x+1=9	$3 \log_{2} (x + 1) = 9$
11261	Solve for x	3 log base 5 of x=- log base 5 of 125	$3 \log_{5} (x) = - \log_{5} (125)$
11262	Solve for x	3cot(x)^2=1	$3 \cot^{2} (x) = 1$
11263	Solve for x	3e^(4x)=45	$3 e^{4 x} = 45$
11264	Solve for x	3e^(2x)=21	$3 e^{2 x} = 21$
11265	Solve for x	3e^(5x)=1977	$3 e^{5 x} = 1977$
11266	Solve for x	3e^x+2e^(-x)=7	$3 e^{x} + 2 e^{- x} = 7$
11267	Solve for x	3e^(5x)=11	$3 e^{5 x} = 11$
11268	Solve for x	3e^x+8e^(-x)=10	$3 e^{x} + 8 e^{- x} = 10$
11269	Solve for x	3 = log base x of 512	$3 = \log_{x} (512)$
11270	Solve for x	-3=mx-3	$- 3 = m x - 3$
11271	Solve for x	30arcsin(x)=5pi	$30 \arcsin (x) = 5 π$
11272	Solve for x	3+yi=x-7i	$3 + y i = x - 7 i$
11273	Solve for x	-300+x-300cos(30)=0	$- 300 + x - 300 \cos (30) = 0$
11274	Solve for x	32*(4^(x/3))=512	$32 \cdot (4^{\frac{x}{3}}) = 512$
11275	Solve for x	3x^3-x^2-12x+4=0	$3 x^{3} - x^{2} - 12 x + 4 = 0$
11276	Solve for x	3x^3+13x^2-32x-12=0	$3 x^{3} + 13 x^{2} - 32 x - 12 = 0$
11277	Solve for x	3x^3-x^2-9x+3=0	$3 x^{3} - x^{2} - 9 x + 3 = 0$
11278	Solve for x	3+4 natural log of x=2	$3 + 4 \ln (x) = 2$
11279	Solve for x	3+4 natural log of x=5	$3 + 4 \ln (x) = 5$
11280	Solve for x	3x^4+3x^3-17x^2+x-6=0	$3 x^{4} + 3 x^{3} - 17 x^{2} + x - 6 = 0$
11281	Solve for x	2x^3=8x-5	$2 x^{3} = 8 x - 5$
11282	Solve for x	2x^3-15x^2+27x-10=0	$2 x^{3} - 15 x^{2} + 27 x - 10 = 0$
11283	Solve for x	2x^3+5x^2-8x-10=0	$2 x^{3} + 5 x^{2} - 8 x - 10 = 0$
11284	Solve for x	2x^3-5x^2-6x+4=0	$2 x^{3} - 5 x^{2} - 6 x + 4 = 0$
11285	Solve for x	2x^4+9x^3-87x^2-49x+45=0	$2 x^{4} + 9 x^{3} - 87 x^{2} - 49 x + 45 = 0$
11286	Solve for x	2x^-2=72	$2 x^{- 2} = 72$
11287	Solve for x	2x^2=250	$2 x^{2} = 250$
11288	Solve for x	2x^2+8x+3=0	$2 x^{2} + 8 x + 3 = 0$
11289	Solve for x	2 = log base x of 49	$2 = \log_{x} (49)$
11290	Solve for x	2x^5-15x^3-27x=0	$2 x^{5} - 15 x^{3} - 27 x = 0$
11291	Solve for x	2x^3-4x^2-14x-28=0	$2 x^{3} - 4 x^{2} - 14 x - 28 = 0$
11292	Solve for x	2x^3-5x^2+x+2=0	$2 x^{3} - 5 x^{2} + x + 2 = 0$
11293	Solve for x	2x^4-3x^3-24x^2+13x+12=0	$2 x^{4} - 3 x^{3} - 24 x^{2} + 13 x + 12 = 0$
11294	Solve for x	2x^4-5x^2-12=0	$2 x^{4} - 5 x^{2} - 12 = 0$
11295	Solve for x	2x^6-8x^4-10x^3=0	$2 x^{6} - 8 x^{4} - 10 x^{3} = 0$
11296	Solve for x	2=(x+10)/(x-2)	$2 = \frac{x + 10}{x - 2}$
11297	Solve for x	2=(x+10)/(x-9)	$2 = \frac{x + 10}{x - 9}$
11298	Solve for x	20-6/5x=-6/5x+20	$20 - \frac{6}{5} x = - \frac{6}{5} x + 20$
11299	Solve for x	4x^2+12x+3=0	$4 x^{2} + 12 x + 3 = 0$
11300	Solve for x	24sin(x)^2=24-12cos(x)	$24 \sin^{2} (x) = 24 - 12 \cos (x)$