Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21301	Solve for x	csc(x)>0	$\csc (x) > 0$
21302	Simplify	(x^2-9)/(x^2-x-2)	$\frac{x^{2} - 9}{x^{2} - x - 2}$
21303	Find the Inverse	y=3+2/(x-1)	$y = 3 + \frac{2}{x - 1}$
21304	Find the Inverse	y = natural log of 4x	$y = \ln (4 x)$
21305	Solve for x	4(2x-2)-4x<2(1+2x)-7	$4 (2 x - 2) - 4 x < 2 (1 + 2 x) - 7$
21306	Solve for x	(2/3)^(x+1)=(81/16)^(x-1)	${(\frac{2}{3})}^{x + 1} = {(\frac{81}{16})}^{x - 1}$
21307	Find the Inverse	f(x)=3 square root of x-1-4	$f (x) = 3 \sqrt{x - 1} - 4$
21308	Find the Inverse	f(x)=8x^3-1	$f (x) = 8 x^{3} - 1$
21309	Find the Inverse	y=(x^2-6)/(7x^2)	$y = \frac{x^{2} - 6}{7 x^{2}}$
21310	Find the Inverse	g(x)=(4-x)/2	$g (x) = \frac{4 - x}{2}$
21311	Find the Inverse	y=1/2x+8	$y = \frac{1}{2} x + 8$
21312	Find the Inverse	y = log base 5 of x^5	$y = \log_{5} (x^{5})$
21313	Find the Inverse	y=arcsin(x/2)	$y = \arcsin (\frac{x}{2})$
21314	Simplify/Condense	log base 3 of 6^3*9^6	$\log_{3} (6^{3} \cdot 9^{6})$
21315	Simplify/Condense	log base 3 of (7y)/z	$\log_{3} (\frac{7 y}{z})$
21316	Simplify/Condense	log base 3 of 8/121- log base 3 of 11	$\log_{3} (\frac{8}{121}) - \log_{3} (11)$
21317	Simplify/Condense	log base 3 of 8/27+ log of 10	$\log_{3} (\frac{8}{27}) + \log (10)$
21318	Simplify/Condense	log base 3 of 8^3*9^8	$\log_{3} (8^{3} \cdot 9^{8})$
21319	Simplify/Condense	log base 3 of (9x^2)/( fifth root of x-1)	$\log_{3} (\frac{9 x^{2}}{\sqrt[5]{x - 1}})$
21320	Simplify/Condense	log base 3 of 9^2*2^4	$\log_{3} (9^{2}) \cdot 2^{4}$
21321	Simplify/Condense	log base 3 of log base 4 of 64	$\log_{3} (\log_{4} (64))$
21322	Simplify/Condense	log base 3 of u^2v^6	$\log_{3} (u^{2} v^{6})$
21323	Simplify/Condense	log base 27 of x	$\log_{27} (x)$
21324	Simplify/Condense	log base 3.2 of 1	$\log_{3.2} (1)$
21325	Simplify/Condense	log base 3 of 2*40+1-2	$\log_{3} (2 \cdot 40 + 1) - 2$
21326	Simplify/Condense	log base 3 of (3^2y^4)/( square root of 3x)+3 log base 3 of 5	$\log_{3} (\frac{3^{2} y^{4}}{\sqrt{3 x}}) + 3 \log_{3} (5)$
21327	Simplify/Condense	log base 3 of ( square root of f)/27	$\log_{3} (\frac{\sqrt{f}}{27})$
21328	Simplify/Condense	log base 3 of x/y	$\log_{3} (\frac{x}{y})$
21329	Simplify/Condense	log base 3 of x^2-16- log base 3 of x-4	$\log_{3} (x^{2} - 16) - \log_{3} (x - 4)$
21330	Simplify/Condense	log base 3 of x^(2-9)-2 log base 3 of x+3+3 log base 3 of x	$\log_{3} (x^{2 - 9}) - 2 \log_{3} (x + 3) + 3 \log_{3} (x)$
21331	Simplify/Condense	log base 3 of x^3-4 log base 3 of y-2 log base 3 of z	$\log_{3} (x^{3}) - 4 \log_{3} (y) - 2 \log_{3} (z)$
21332	Simplify/Condense	log base 3 of 0.04	$\log_{3} (0.04)$
21333	Simplify/Condense	log base 3 of 1- log base 3 of 1/3	$\log_{3} (1) - \log_{3} (\frac{1}{3})$
21334	Simplify/Condense	log base 3 of 10- log base 3 of 5	$\log_{3} (10) - \log_{3} (5)$
21335	Simplify/Condense	log base 3 of 100	$\log_{3} (100)$
21336	Simplify/Condense	log base 3 of 27/x	$\log_{3} (\frac{27}{x})$
21337	Simplify/Condense	log base 3 of 27^-3	$\log_{3} (27^{- 3})$
21338	Simplify/Condense	log base 3 of (5 square root of x)/(y^4)	$\log_{3} (\frac{5 \sqrt{x}}{y^{4}})$
21339	Simplify/Condense	log base 3 of square root of 243	$\log_{3} (\sqrt{243})$
21340	Simplify/Condense	log base 3 of square root of x- log base 3 of (x)^8	$\log_{3} (\sqrt{x}) - \log_{3} ({(x)}^{8})$
21341	Simplify	(2pi)/(pi/3)	$\frac{2 π}{\frac{π}{3}}$
21342	Simplify/Condense	log base 3 of 1/(x^5y^2)	$\log_{3} (\frac{1}{x^{5} y^{2}})$
21343	Simplify/Condense	log base 3 of 1/18	$\log_{3} (\frac{1}{18})$
21344	Solve for ?	tan(theta)+ square root of 3=0	$\tan (θ) + \sqrt{3} = 0$
21345	Simplify/Condense	log base 3 of 1/27x	$\log_{3} (\frac{1}{27} x)$
21346	Simplify/Condense	log base 3 of 15- log base 3 of 30+ log of log base 3 of 54	$\log_{3} (15) - \log_{3} (30) + \log (\log_{3} (54))$
21347	Simplify/Condense	log base 3 of 15- log base 3 of 35+ log base 3 of 567	$\log_{3} (15) - \log_{3} (35) + \log_{3} (567)$
21348	Simplify/Condense	log base 3 of 15- log base 3 of 35+ log base 3 of 63	$\log_{3} (15) - \log_{3} (35) + \log_{3} (63)$
21349	Simplify/Condense	log base 3 of 15- log base 3 of 40+ log base 3 of 648	$\log_{3} (15) - \log_{3} (40) + \log_{3} (648)$
21350	Simplify/Condense	log base 3 of 15- log base 3 of 40+ log base 3 of 72	$\log_{3} (15) - \log_{3} (40) + \log_{3} (72)$
21351	Simplify/Condense	log base 3 of 16-2 log base 3 of 36	$\log_{3} (16) - 2 \log_{3} (36)$
21352	Simplify/Condense	log base 3 of 180	$\log_{3} (180)$
21353	Simplify/Condense	log base 3 of 192-6 log base 3 of 2	$\log_{3} (192) - 6 \log_{3} (2)$
21354	Simplify/Condense	log base 3 of 2- log base 3 of 4+ log base 3 of 6	$\log_{3} (2) - \log_{3} (4) + \log_{3} (6)$
21355	Simplify/Condense	log base 3 of 2-2 log base 3 of 5x+3 log base 3 of x	$\log_{3} (2) - 2 \log_{3} (5 x) + 3 \log_{3} (x)$
21356	Simplify/Condense	10 log base a of 10+5 log base a of 8	$10 \log_{a} (10) + 5 \log_{a} (8)$
21357	Solve for ?	tan(theta)+1=0	$\tan (θ) + 1 = 0$
21358	Simplify/Condense	log base 3 of cube root of 5	$\log_{3} (\sqrt[3]{5})$
21359	Simplify/Condense	log base 3 of cube root of 81	$\log_{3} (\sqrt[3]{81})$
21360	Simplify/Condense	log base 3 of 11+3 log base 3 of 2	$\log_{3} (11) + 3 \log_{3} (2)$
21361	Simplify/Condense	log base 3 of 11+4 log base 3 of 2	$\log_{3} (11) + 4 \log_{3} (2)$
21362	Simplify/Condense	log base 3 of 11+5 log base 3 of 2	$\log_{3} (11) + 5 \log_{3} (2)$
21363	Simplify/Condense	log base 3 of 11x=3	$\log_{3} (11 x) = 3$
21364	Simplify/Condense	log base 3 of 13+4 log base 3 of 2	$\log_{3} (13) + 4 \log_{3} (2)$
21365	Simplify/Condense	log base 3 of 135-3 log base 3 of 5	$\log_{3} (135) - 3 \log_{3} (5)$
21366	Simplify/Condense	log base 3 of 15- log base 3 of 30+ log base 3 of 162	$\log_{3} (15) - \log_{3} (30) + \log_{3} (162)$
21367	Simplify/Condense	log base 3 of 25	$\log_{3} (25)$
21368	Simplify/Condense	log base 3 of 20- log base 3 of 12- log base 3 of 45	$\log_{3} (20) - \log_{3} (12) - \log_{3} (45)$
21369	Simplify/Condense	log base 3 of 20- log base 3 of 4	$\log_{3} (20) - \log_{3} (4)$
21370	Simplify/Condense	log base 3 of 234	$\log_{3} (234)$
21371	Simplify/Condense	log base 3 of 24+1/2* log base 3 of 7- log base 3 of 6	$\log_{3} (24) + \frac{1}{2} \cdot \log_{3} (7) - \log_{3} (6)$
21372	Simplify/Condense	log base 3 of 27+ log base 5 of 125-2 log base 9 of 81	$\log_{3} (27) + \log_{5} (125) - 2 \log_{9} (81)$
21373	Simplify/Condense	log base 3 of 28	$\log_{3} (28)$
21374	Simplify/Condense	log base 3 of 2x+y-1/3* log base 3 of x-y	$\log_{3} (2 x + y) - \frac{1}{3} \cdot \log_{3} (x - y)$
21375	Simplify/Condense	log base 3 of 2xy	$\log_{3} (2 x y)$
21376	Solve for x	(2x-5)/x+(4x-1)/(x+2)=(x+8)/(x^2+2x)	$\frac{2 x - 5}{x} + \frac{4 x - 1}{x + 2} = \frac{x + 8}{x^{2} + 2 x}$
21377	Simplify/Condense	log base 2 of xy-3 log base 2 of y-0.5 log base 2 of x	$\log_{2} (x y) - 3 \log_{2} (y) - 0.5 \log_{2} (x)$
21378	Simplify/Condense	log base 20 of 135	$\log_{20} (135)$
21379	Simplify/Condense	log base 20 of 400	$\log_{20} (400)$
21380	Simplify/Condense	log base 20 of x+4+ log base 20 of x-4	$\log_{20} (x + 4) + \log_{20} (x - 4)$
21381	Simplify/Condense	log base 216 of square root of 36 square root of 6	$\log_{216} (\sqrt{36 \sqrt{6}})$
21382	Simplify/Condense	log base 243 of x-8	$\log_{243} (x - 8)$
21383	Simplify/Condense	natural log of w^2-4r^2-2 natural log of w-2r- natural log of 7	$\ln (w^{2} - 4 r^{2}) - 2 \ln (w - 2 r) - \ln (7)$
21384	Simplify/Condense	log base 25 of u- log base 25 of 125+ log base 25 of v	$\log_{25} (u) - \log_{25} (125) + \log_{25} (v)$
21385	Simplify/Condense	log base 25 of x	$\log_{25} (x)$
21386	Simplify/Condense	log base 2 of 802816	$\log_{2} (802816)$
21387	Simplify/Condense	log base 2 of 8x-3	$\log_{2} (8 x) - 3$
21388	Simplify/Condense	log base 2 of 9- log base 2 of x	$\log_{2} (9) - \log_{2} (x)$
21389	Simplify/Condense	log base 2 of A+ log base 2 of B- log base 2 of C	$\log_{2} (A) + \log_{2} (B) - \log_{2} (C)$
21390	Simplify/Condense	log base 2 of A+ log base 2 of B-2 log base 2 of C	$\log_{2} (A) + \log_{2} (B) - 2 \log_{2} (C)$
21391	Simplify/Condense	log base 2 of a-5 log base 2 of b+3 log base 2 of c	$\log_{2} (a) - 5 \log_{2} (b) + 3 \log_{2} (c)$
21392	Simplify/Condense	log base 2 of cos((5pi)/3)	$\log_{2} (\cos (\frac{5 π}{3}))$
21393	Simplify/Condense	log base 2 of square root of x- log base 2 of x^6	$\log_{2} (\sqrt{x}) - \log_{2} (x^{6})$
21394	Convert to Polar Coordinates	(1,-pi/6)	$(1, - \frac{π}{6})$
21395	Simplify/Condense	log base 2 of x- log base 2 of y-1- log base 2 of z+3	$\log_{2} (x) - \log_{2} (y - 1) - \log_{2} (z + 3)$
21396	Simplify/Condense	log base 2 of x+1-4 log base 2 of x	$\log_{2} (x + 1) - 4 \log_{2} (x)$
21397	Simplify/Condense	log base 2 of x+16- log base 4 of x=3	$\log_{2} (x + 16) - \log_{4} (x) = 3$
21398	Simplify/Condense	log base 2 of x-3+2- log base 2 of x^2-9	$\log_{2} (x - 3) + 2 - \log_{2} (x^{2} - 9)$
21399	Find the Degree	( square root of 2)/2	$\frac{\sqrt{2}}{2}$
21400	Simplify/Condense	log base 2 of -4+ log base 2 of -4+2	$\log_{2} (- 4) + \log_{2} (- 4 + 2)$