Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3101	Solve for x	10^x=0.1	$10^{x} = 0.1$
3102	Solve for x	10^(-x)=4	$10^{- x} = 4$
3103	Solve for x	10^(2x)+4(10^x)-21=0	$10^{2 x} + 4 (10^{x}) - 21 = 0$
3104	Solve for x	11^(x+1)=7^(x-1)	$11^{x + 1} = 7^{x - 1}$
3105	Solve for x	13^(-8x)+9=15	$13^{- 8 x} + 9 = 15$
3106	Solve for x	15/x-4=6/x+3	$\frac{15}{x} - 4 = \frac{6}{x} + 3$
3107	Solve for x	\|x-19\|=-(x-19)	$\| x - 19 \| = - (x - 19)$
3108	Solve for x	\|x-1\|+\|x-2\|=3	$\| x - 1 \| + \| x - 2 \| = 3$
3109	Solve for x	\|3x+7\|=5	$\| 3 x + 7 \| = 5$
3110	Solve for x	\|3x+4\|=\|2x-3\|	$\| 3 x + 4 \| = \| 2 x - 3 \|$
3111	Solve for x	\|7-3x\|=-2	$\| 7 - 3 x \| = - 2$
3112	Solve for x	(3^x-3^(-x))/4=5	$\frac{3^{x} - 3^{- x}}{4} = 5$
3113	Solve for x	log base 3 of (x-1)^2=2	$\log_{3} ({(x - 1)}^{2}) = 2$
3114	Solve for x	(x^2+5x+6)/((x^2-1)(x-7))=1	$\frac{x^{2} + 5 x + 6}{(x^{2} - 1) (x - 7)} = 1$
3115	Solve for x	\|2x-1\|=x+4	$\| 2 x - 1 \| = x + 4$
3116	Solve for x	\|3x\|=15	$\| 3 x \| = 15$
3117	Solve for x	(x^2-1)^2-6(x^2-1)-16=0	${(x^{2} - 1)}^{2} - 6 (x^{2} - 1) - 16 = 0$
3118	Solve for x	( square root of 3)^(x+5)=81^x	${(\sqrt{3})}^{x + 5} = 81^{x}$
3119	Solve for x	(9/4)^x=5^(1-x)	${(\frac{9}{4})}^{x} = 5^{1 - x}$
3120	Solve for x	( square root of 2)^(x+4)=4^x	${(\sqrt{2})}^{x + 4} = 4^{x}$
3121	Solve for x	(1/9)^(x-5)=3^(3x)	${(\frac{1}{9})}^{x - 5} = 3^{3 x}$
3122	Solve for x	(1/3)^(3x+6)=9^(x-3)	${(\frac{1}{3})}^{3 x + 6} = 9^{x - 3}$
3123	Solve for x	(1/2)^(-x)=(1/4)^(x+1)	${(\frac{1}{2})}^{- x} = {(\frac{1}{4})}^{x + 1}$
3124	Solve for x	square root of 4+x+ square root of 4-x=4	$\sqrt{4 + x} + \sqrt{4 - x} = 4$
3125	Solve for x	(2/3)^x=81/16	${(\frac{2}{3})}^{x} = \frac{81}{16}$
3126	Solve for x	(x-1)^2=25	${(x - 1)}^{2} = 25$
3127	Solve for t	sin(t)=-( square root of 3)/2	$\sin (t) = - \frac{\sqrt{3}}{2}$
3128	Solve for t	PV=nRt	$P V = n R t$
3129	Solve for t	s=1/15gt^2	$s = \frac{1}{15} g t^{2}$
3130	Solve for t	t=( natural log of 2)/0.085	$t = \frac{\ln (2)}{0.085}$
3131	Solve for t	x=2cos(t)	$x = 2 \cos (t)$
3132	Solve for u	csc(u)-cot(u)=(sin(u))/(1+cos(u))	$\csc (u) - \cot (u) = \frac{\sin (u)}{1 + \cos (u)}$
3133	Solve for u	sin(u)=-8/17	$\sin (u) = - \frac{8}{17}$
3134	Solve for x	(cot(x)+1)(csc(x)+1)=0	$(\cot (x) + 1) (\csc (x) + 1) = 0$
3135	Solve for w	log base 6 of w-1+ log base 6 of w-2=1	$\log_{6} (w - 1) + \log_{6} (w - 2) = 1$
3136	Solve for v	v^2-5=8-2v^2	$v^{2} - 5 = 8 - 2 v^{2}$
3137	Solve for t	12/t+t-8=0	$\frac{12}{t} + t - 8 = 0$
3138	Solve for S	log of S = log of c+k log of A	$\log (S) = \log (c) + k \log (A)$
3139	Solve for r	T=gr+gvt	$T = g r + g v t$
3140	Solve for s	a=(7(1-(-2/5)^3))/(1-(-2/5))	$a = \frac{7 (1 - {(- \frac{2}{5})}^{3})}{1 - (- \frac{2}{5})}$
3141	Solve for r	A=50(1+r/12)^12	$A = 50 {(1 + \frac{r}{12})}^{12}$
3142	Solve for r	r=5cos(x)	$r = 5 \cos (x)$
3143	Solve for r	r = square root of 5^2+12^2	$r = \sqrt{5^{2} + 12^{2}}$
3144	Solve for t	2cos(t)^2-cos(t)-1=0	$2 \cos^{2} (t) - \cos (t) - 1 = 0$
3145	Solve for t	8(1+1/t)^2+22(1+1/t)+15=0	$8 {(1 + \frac{1}{t})}^{2} + 22 (1 + \frac{1}{t}) + 15 = 0$
3146	Solve for t	1543=16t^2	$1543 = 16 t^{2}$
3147	Solve for t	9t^3-25t=0	$9 t^{3} - 25 t = 0$
3148	Simplify	((e^5)/(e^2))^-1	${(\frac{e^{5}}{e^{2}})}^{- 1}$
3149	Simplify	((x^3y^-2)/(xy^3))^2	${(\frac{x^{3} y^{- 2}}{x y^{3}})}^{2}$
3150	Simplify	((a^2b^-3)/(x^-1y^2))^3((x^-2b^-1)/(a^(3/2)y^(1/3)))	${(\frac{a^{2} b^{- 3}}{x^{- 1} y^{2}})}^{3} (\frac{x^{- 2} b^{- 1}}{a^{\frac{3}{2}} y^{\frac{1}{3}}})$
3151	Simplify	(x-(4-3i))(x-(4+3i))	$(x - (4 - 3 i)) (x - (4 + 3 i))$
3152	Simplify	(x-6)(x+3)(x-5)	$(x - 6) (x + 3) (x - 5)$
3153	Simplify	x-7y^2	$x - 7 y^{2}$
3154	Simplify	(x-1)(x+4)(x-5)	$(x - 1) (x + 4) (x - 5)$
3155	Simplify	(x-2)(x-4)(x-1)	$(x - 2) (x - 4) (x - 1)$
3156	Simplify	(x-2)(x-1)(x+3)	$(x - 2) (x - 1) (x + 3)$
3157	Simplify	(x-3)(x+2)(3x-2)	$(x - 3) (x + 2) (3 x - 2)$
3158	Simplify	(x-4)(x-2i)(x+2i)	$(x - 4) (x - 2 i) (x + 2 i)$
3159	Simplify	(x+4)(x-4)(x-7)	$(x + 4) (x - 4) (x - 7)$
3160	Simplify	(x+4)(x-4)(x-5)	$(x + 4) (x - 4) (x - 5)$
3161	Simplify	(x+3)(x-3)(x-5)	$(x + 3) (x - 3) (x - 5)$
3162	Simplify	(x+1)(x-1)(x-9)	$(x + 1) (x - 1) (x - 9)$
3163	Simplify	(-cos(x)+sec(x))cot(x)	$(- \cos (x) + \sec (x)) \cot (x)$
3164	Simplify	(sec(x)-tan(x))(sec(x)+tan(x))	$(\sec (x) - \tan (x)) (\sec (x) + \tan (x))$
3165	Simplify	(cot(x))(1/(csc(x)))	$(\cot (x)) (\frac{1}{\csc (x)})$
3166	Simplify	(csc(x)-cot(x))(sec(x)+1)	$(\csc (x) - \cot (x)) (\sec (x) + 1)$
3167	Simplify	9+14i+(7-11i)	$9 + 14 i + (7 - 11 i)$
3168	Simplify	(cos(x)-sin(x))(cos(x)+sin(x))	$(\cos (x) - \sin (x)) (\cos (x) + \sin (x))$
3169	Simplify	(3x-1)(x-2)	$(3 x - 1) (x - 2)$
3170	Simplify	(3-4i)(2-i)	$(3 - 4 i) (2 - i)$
3171	Simplify	(-3-i)-(4-5i)	$(- 3 - i) - (4 - 5 i)$
3172	Simplify	(3+7i)-(2+5i)	$(3 + 7 i) - (2 + 5 i)$
3173	Simplify	(3+8i)(3-8i)	$(3 + 8 i) (3 - 8 i)$
3174	Simplify	(3+8i)(4-3i)	$(3 + 8 i) (4 - 3 i)$
3175	Simplify	(3+3i)(3-3i)	$(3 + 3 i) (3 - 3 i)$
3176	Simplify	4-2i+(9+5i)	$4 - 2 i + (9 + 5 i)$
3177	Simplify	(4x^2y^4)(2x^5y)	$(4 x^{2} y^{4}) (2 x^{5} y)$
3178	Simplify	4-8i+(7+5i)	$4 - 8 i + (7 + 5 i)$
3179	Simplify	(5-3i)(1+i)	$(5 - 3 i) (1 + i)$
3180	Simplify	(5+7i)-(-5+i)	$(5 + 7 i) - (- 5 + i)$
3181	Simplify	7+8i+(4-7i)	$7 + 8 i + (4 - 7 i)$
3182	Simplify	6-8i+(7-9i)	$6 - 8 i + (7 - 9 i)$
3183	Simplify	(7-6i)(4+7i)	$(7 - 6 i) (4 + 7 i)$
3184	Simplify	(8+2i)(7+3i)	$(8 + 2 i) (7 + 3 i)$
3185	Simplify	(9x^8y^4)(1/3*(x^4y^6))	$(9 x^{8} y^{4}) (\frac{1}{3} \cdot (x^{4} y^{6}))$
3186	Simplify	(8-12i)-(-13+19i)	$(8 - 12 i) - (- 13 + 19 i)$
3187	Simplify	((4r^2s^2)^2)/((4r^2s)^2)	$\frac{{(4 r^{2} s^{2})}^{2}}{{(4 r^{2} s)}^{2}}$
3188	Simplify	((3x)^3(2x))/(36x^3)	$\frac{{(3 x)}^{3} (2 x)}{36 x^{3}}$
3189	Simplify	(x-4)^3-5	${(x - 4)}^{3} - 5$
3190	Simplify	(tan(x)+cot(x))/(cot(x)-tan(x))	$\frac{\tan (x) + \cot (x)}{\cot (x) - \tan (x)}$
3191	Simplify	((sec(y)-tan(y))(sec(y)+tan(y)))/(sec(y))	$\frac{(\sec (y) - \tan (y)) (\sec (y) + \tan (y))}{\sec (y)}$
3192	Simplify	-(-x)^3	$- {(- x)}^{3}$
3193	Simplify	(x+6)^2-5	${(x + 6)}^{2} - 5$
3194	Simplify	-(x+h)^2	$- {(x + h)}^{2}$
3195	Simplify	(4-i)^2	${(4 - i)}^{2}$
3196	Simplify	(-4x^7)^2	${(- 4 x^{7})}^{2}$
3197	Simplify	((-8a^3)/(a^-6))^(2/3)	${(\frac{- 8 a^{3}}{a^{- 6}})}^{\frac{2}{3}}$
3198	Simplify	(a^(3/4))^5	${(a^{\frac{3}{4}})}^{5}$
3199	Simplify	(1/(x-1))^2	${(\frac{1}{x - 1})}^{2}$
3200	Simplify	(1-i)^11(1+i)^9	${(1 - i)}^{11} {(1 + i)}^{9}$