Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
24101	Simplify/Condense	6 natural log of x-1/8* natural log of y	$6 \ln (x - \frac{1}{8} \cdot \ln (y))$
24102	Simplify/Condense	4 log base a of 5x^6-1/3* log base a of 2x+11	$4 \log_{a} (5 x^{6}) - \frac{1}{3} \cdot \log_{a} (2 x + 11)$
24103	Simplify/Condense	4 log base a of 5x^8-1/6* log base a of 7x+19	$4 \log_{a} (5 x^{8}) - \frac{1}{6} \cdot \log_{a} (7 x + 19)$
24104	Simplify/Condense	4 log base a of 6x^9-1/7* log base a of 8x+11	$4 \log_{a} (6 x^{9}) - \frac{1}{7} \cdot \log_{a} (8 x + 11)$
24105	Simplify/Condense	4 log base b of x-1/3* log base b of w+3 log base b of z	$4 \log_{b} (x) - \frac{1}{3} \cdot \log_{b} (w) + 3 \log_{b} (z)$
24106	Simplify/Condense	4 log base b of y-7-6 log base b of y+5	$4 \log_{b} (y - 7) - 6 \log_{b} (y + 5)$
24107	Simplify/Condense	4 natural log of e^7- natural log of e^8	$4 \ln (e^{7}) - \ln (e^{8})$
24108	Simplify/Condense	4 natural log of x^4-5 natural log of y^3-3 natural log of x^7+ natural log of x	$4 \ln (x^{4}) - 5 \ln (y^{3}) - 3 \ln (x^{7}) + \ln (x)$
24109	Simplify/Condense	4 natural log of x^4+2-1÷3 natural log of x-2 natural log of x+1	$4 \ln (x^{4} + 2) - 1 \div 3 \ln (x) - 2 \ln (x + 1)$
24110	Simplify/Condense	4 natural log of 2x^3-2 natural log of xy+3 natural log of x^2y^3	$4 \ln (2 x^{3}) - 2 \ln (x y) + 3 \ln (x^{2} y^{3})$
24111	Simplify/Condense	4 natural log of 3-5 natural log of 5	$4 \ln (3) - 5 \ln (5)$
24112	Simplify/Condense	4 natural log of 6+5 natural log of x+5 natural log of x^2+6	$4 \ln (6) + 5 \ln (x) + 5 \ln (x^{2} + 6)$
24113	Simplify/Condense	4 natural log of 7x-2 natural log of x+1-5 natural log of 3+2/3* natural log of 5- natural log of x+6+1/2* natural log of 2x-3+3/8* natural log of x^2-3x+11	$4 \ln (7 x) - 2 \ln (x + 1) - 5 \ln (3) + \frac{2}{3} \cdot \ln (5) - \ln (x + 6) + \frac{1}{2} \cdot \ln (2 x - 3) + \frac{3}{8} \cdot \ln (x^{2} - 3 x + 11)$
24114	Simplify/Condense	4 natural log of x+6-7 natural log of x	$4 \ln (x + 6) - 7 \ln (x)$
24115	Simplify/Condense	4 natural log of z+4 natural log of z+5-2 natural log of z-5	$4 \ln (z) + 4 \ln (z + 5) - 2 \ln (z - 5)$
24116	Simplify/Condense	4 log of square root of 3x-1- log of 2-3x+ log of 8	$4 \log (\sqrt{3 x - 1}) - \log (2 - 3 x) + \log (8)$
24117	Simplify/Condense	4 log of 100- log of 1000	$4 \log (100) - \log (1000)$
24118	Simplify/Condense	4 log of 3a+2 log of 3b-4 log of 3c	$4 \log (3) a + 2 \log (3) b - 4 \log (3) c$
24119	Find the Reference Angle	300 degrees	$300 °$
24120	Simplify/Condense	4 log of 4	$4 \log (4)$
24121	Simplify/Condense	4 log base 6 of x+7- log base 6 of x+8- log base 6 of x-16	$4 \log_{6} (x + 7) - \log_{6} (x + 8) - \log_{6} (x - 16)$
24122	Simplify/Condense	4 log base 6 of z-1/4* log base 6 of w+7 log base 6 of y	$4 \log_{6} (z) - \frac{1}{4} \cdot \log_{6} (w) + 7 \log_{6} (y)$
24123	Simplify/Condense	4 log base 7 of 3+1/4* log base 7 of r-1-1/2* log base 7 of r	$4 \log_{7} (3) + \frac{1}{4} \cdot \log_{7} (r - 1) - \frac{1}{2} \cdot \log_{7} (r)$
24124	Simplify/Condense	4 log base 5 of u-12 log base 5 of v	$4 \log_{5} (u) - 12 \log_{5} (v)$
24125	Simplify/Condense	4 log base 5 of x+8 log base 5 of y-8 log base 5 of z	$4 \log_{5} (x) + 8 \log_{5} (y) - 8 \log_{5} (z)$
24126	Evaluate	2 log base 9 of 3	$2 \log_{9} (3)$
24127	Simplify/Condense	3 log of x-1-2 log of 4x+2+1/3* log of x-1	$3 \log (x - 1) - 2 \log (4 x + 2) + \frac{1}{3} \cdot \log (x - 1)$
24128	Simplify/Condense	4 log of xy-3 log of yz	$4 \log (x y) - 3 \log (y z)$
24129	Simplify/Condense	4 log of y- log of z	$4 \log (y) - \log (z)$
24130	Simplify/Condense	5 log of x-(8 log of y+3 log of z)	$5 \log (x) - (8 \log (y) + 3 \log (z))$
24131	Find the x and y Intercepts	x^3-4x^2-x+4	$x^{3} - 4 x^{2} - x + 4$
24132	Simplify/Condense	5 log base 2 of x+4 log base 2 of y	$5 \log_{2} (x) + 4 \log_{2} (y)$
24133	Simplify/Condense	5 log base 2 of x+5 log base 2 of y	$5 \log_{2} (x) + 5 \log_{2} (y)$
24134	Simplify/Condense	5 log base 2 of x+6- log base 2 of x-7- log base 2 of x-13	$5 \log_{2} (x + 6) - \log_{2} (x - 7) - \log_{2} (x - 13)$
24135	Simplify/Condense	5 log base 2 of x-6-7 log base 2 of x+9	$5 \log_{2} (x - 6) - 7 \log_{2} (x + 9)$
24136	Simplify/Condense	5 log base 22.71 of x	$5 \log_{22.71} (x)$
24137	Simplify/Condense	5 log base 3 of x+1+3 log base 3 of x-1-0.5 log base 3 of x^2+4-7 log base 3 of x-3	$5 \log_{3} (x + 1) + 3 \log_{3} (x - 1) - 0.5 \log_{3} (x^{2} + 4) - 7 \log_{3} (x - 3)$
24138	Simplify/Condense	5 log base 4 of x+2 log base 4 of y-3 log base 4 of z	$5 \log_{4} (x) + 2 \log_{4} (y) - 3 \log_{4} (z)$
24139	Simplify/Condense	5 log base 5 of a-25 log base 5 of b	$5 \log_{5} (a) - 25 \log_{5} (b)$
24140	Simplify/Condense	5 log base 6 of u+2 log base 6 of v	$5 \log_{6} (u) + 2 \log_{6} (v)$
24141	Solve for t	sin(t)=1/2	$\sin (t) = \frac{1}{2}$
24142	Simplify/Condense	5 log base 7 of y-1/5 log base 7 of w+6 log base 7 of z	$5 \log_{7} (y - \frac{1}{5}) \log_{7} (w) + 6 \log_{7} (z)$
24143	Simplify/Condense	3 log of x-2- log of x+1-1/2* log of x-3	$3 \log (x - 2) - \log (x + 1) - \frac{1}{2} \cdot \log (x - 3)$
24144	Solve for ?	sin(theta)+1=0	$\sin (θ) + 1 = 0$
24145	Simplify/Condense	3 log of x-8-2 log of x-5	$3 \log (x - 8) - 2 \log (x - 5)$
24146	Simplify/Condense	4( log base 3 of xx-5 log base 3 of xw)+3 log base 3 of z	$4 (\log_{3} (x) x - 5 \log_{3} (x) w) + 3 \log_{3} (z)$
24147	Solve for ?	sin(theta)=-1	$\sin (θ) = - 1$
24148	Solve for x	x(5x-29)=42	$x (5 x - 29) = 42$
24149	Simplify/Condense	4 log base 2 of x+9- log base 2 of x-15- log base 2 of x-9	$4 \log_{2} (x + 9) - \log_{2} (x - 15) - \log_{2} (x - 9)$
24150	Simplify/Condense	4 log base 3 of A+5 log base 3 of B-4 log base 3 of C	$4 \log_{3} (A) + 5 \log_{3} (B) - 4 \log_{3} (C)$
24151	Simplify/Condense	4 log base 3 of x+7- log base 3 of x-11- log base 3 of x-4	$4 \log_{3} (x + 7) - \log_{3} (x - 11) - \log_{3} (x - 4)$
24152	Simplify/Condense	4 log base 3 of x+8- log base 3 of x-12- log base 3 of x-20	$4 \log_{3} (x + 8) - \log_{3} (x - 12) - \log_{3} (x - 20)$
24153	Solve for x	2x^2-50=0	$2 x^{2} - 50 = 0$
24154	Simplify/Condense	4 log base 4 of 11-3 log base 7 of cube root of 7	$4 \log_{4} (11) - 3 \log_{7} (\sqrt[3]{7})$
24155	Simplify/Condense	4 log base 4 of 2x- log base 4 of x^5+ log base 4 of 4x	$4 \log_{4} (2 x) - \log_{4} (x^{5}) + \log_{4} (4 x)$
24156	Simplify/Condense	4 log base 5 of 2x	$4 \log_{5} (2 x)$
24157	Simplify/Condense	3 natural log of x+4 natural log of y-5 natural log of z	$3 \ln (x) + 4 \ln (y) - 5 \ln (z)$
24158	Simplify/Condense	3 natural log of x+7 natural log of y-0.5 natural log of z	$3 \ln (x) + 7 \ln (y) - 0.5 \ln (z)$
24159	Simplify	(sec(theta)tan(theta))/(sin(theta))	$\frac{\sec (θ) \tan (θ)}{\sin (θ)}$
24160	Simplify	(2 square root of 5-3)/( square root of 5-1)	$\frac{2 \sqrt{5} - 3}{\sqrt{5} - 1}$
24161	Simplify/Condense	3 log of x+4 log of x-3-2 log of x	$3 \log (x) + 4 \log (x - 3) - 2 \log (x)$
24162	Simplify/Condense	3 log of x+ log of 1- log of z-4	$3 \log (x) + \log (1) - \log (z - 4)$
24163	Simplify/Condense	3 log of x-4 log of x-9	$3 \log (x) - 4 \log (x - 9)$
24164	Simplify/Condense	3 log of x- log of y-4 log of z	$3 \log (x) - \log (y) - 4 \log (z)$
24165	Convert to Interval Notation	x^2-4<=0	$x^{2} - 4 \leq 0$
24166	Simplify/Condense	3 natural log of x-5 natural log of xy	$3 \ln (x) - 5 \ln (x y)$
24167	Simplify/Condense	3 natural log of x+1/2y-2	$3 \ln (x + \frac{1}{2} y - 2)$
24168	Convert to Interval Notation	2x^2-5x-3<=0	$2 x^{2} - 5 x - 3 \leq 0$
24169	Simplify/Condense	3 natural log of x-1- natural log of x	$3 \ln (x - 1) - \ln (x)$
24170	Simplify/Condense	3 log of x^(1/3)-3/4* log of 2y-4 log of 3 square root of y	$3 \log (x^{\frac{1}{3}}) - \frac{3}{4} \cdot \log (2 y) - 4 \log (3 \sqrt{y})$
24171	Simplify/Condense	3 log of 2-1/2* log base x of 3-x	$3 \log (2) - \frac{1}{2} \cdot \log_{x} (3 - x)$
24172	Simplify/Condense	3 log of 4x	$3 \log (4 x)$
24173	Simplify/Condense	3 log of 53+1/5( log of 5(r-4))-1/2*( log of 5r)	$3 \log (5) \cdot 3 + \frac{1}{5} \cdot (\log (5) (r - 4)) - \frac{1}{2} \cdot (\log (5) r)$
24174	Simplify/Condense	3 log of 5x^2-1/2* log of y- log of 7z	$3 \log (5 x^{2}) - \frac{1}{2} \cdot \log (y) - \log (7 z)$
24175	Simplify/Condense	3 log of 6x-1/2*( log of 6(x^2-2))	$3 \log (6) x - \frac{1}{2} \cdot (\log (6) (x^{2} - 2))$
24176	Simplify/Condense	3 log of 64-x^2- log of 8+x log of 8-x	$3 \log (64 - x^{2}) - \log (8 + x) \log (8 - x)$
24177	Simplify/Condense	3 log of a-2 log of b+ log of c-6 log of d	$3 \log (a) - 2 \log (b) + \log (c) - 6 \log (d)$
24178	Simplify/Condense	3 log of A-5 log of B+2 log of B	$3 \log (A) - 5 \log (B) + 2 \log (B)$
24179	Find the Asymptotes	y = log of x-2+10	$y = \log (x - 2) + 10$
24180	Simplify/Condense	3 natural log of 125+4 natural log of x	$3 \ln (125) + 4 \ln (x)$
24181	Simplify/Condense	3 natural log of 2+2 natural log of 3	$3 \ln (2) + 2 \ln (3)$
24182	Simplify/Condense	3 natural log of 5x+ natural log of 2-2 natural log of 3x	$3 \ln (5 x) + \ln (2) - 2 \ln (3 x)$
24183	Simplify/Condense	3 natural log of 7+6 natural log of b	$3 \ln (7) + 6 \ln (b)$
24184	Convert to Polar Coordinates	(-1,-1)	$(- 1, - 1)$
24185	Find the Difference Quotient	f(x)=x^2+8	$f (x) = x^{2} + 8$
24186	Simplify/Condense	2 natural log of x-3 natural log of y+1/5 natural log of z	$2 \ln (x - 3) \ln (y + \frac{1}{5}) \ln (z)$
24187	Simplify/Condense	2 natural log of y-3 natural log of x+ natural log of 4	$2 \ln (y) - 3 \ln (x) + \ln (4)$
24188	Find the Center and Radius	x^2+y^2-14x+10y-70=0	$x^{2} + y^{2} - 14 x + 10 y - 70 = 0$
24189	Find the Center and Radius	x^2+y^2-14x+12y+81=0	$x^{2} + y^{2} - 14 x + 12 y + 81 = 0$
24190	Find the Center and Radius	x^2+y^2-14x+4y+37=0	$x^{2} + y^{2} - 14 x + 4 y + 37 = 0$
24191	Find the Center and Radius	x^2+y^2-14x+6y=23	$x^{2} + y^{2} - 14 x + 6 y = 23$
24192	Find the Center and Radius	x^2+y^2-14x+8y=0	$x^{2} + y^{2} - 14 x + 8 y = 0$
24193	Find the Center and Radius	x^2+y^2-14x-18y=-94	$x^{2} + y^{2} - 14 x - 18 y = - 94$
24194	Find the Center and Radius	x^2+y^2-14x-4y+49=0	$x^{2} + y^{2} - 14 x - 4 y + 49 = 0$
24195	Find the Center and Radius	x^2+y^2-14y+48=0	$x^{2} + y^{2} - 14 y + 48 = 0$
24196	Find the Center and Radius	x^2+y^2-15=0	$x^{2} + y^{2} - 15 = 0$
24197	Find the Center and Radius	x^2+y^2-15x-6y-13=0	$x^{2} + y^{2} - 15 x - 6 y - 13 = 0$
24198	Find the Center and Radius	x^2+y^2-16x+10y-11=0	$x^{2} + y^{2} - 16 x + 10 y - 11 = 0$
24199	Find the Center and Radius	x^2+y^2-16x+18y=10	$x^{2} + y^{2} - 16 x + 18 y = 10$
24200	Find the Center and Radius	x^2+y^2-16x+2y+40=0	$x^{2} + y^{2} - 16 x + 2 y + 40 = 0$