Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22301	Simplify/Condense	natural log of (x^6)/(y^3 square root of z)	$\ln (\frac{x^{6}}{y^{3} \sqrt{z}})$
22302	Simplify/Condense	natural log of \|sec(x)\|+ natural log of \|sin(x)\|	$\ln (\| \sec (x) \|) + \ln (\| \sin (x) \|)$
22303	Simplify/Condense	natural log of 1/(e^4)+ natural log of 4e^2	$\ln (\frac{1}{e^{4}}) + \ln (4 e^{2})$
22304	Simplify/Condense	5 natural log of x-6 natural log of x+2	$5 \ln (x) - 6 \ln (x + 2)$
22305	Simplify/Condense	5 natural log of x-11-8 natural log of x	$5 \ln (x - 11) - 8 \ln (x)$
22306	Simplify/Condense	5 natural log of x-3	$5 \ln (x - 3)$
22307	Simplify/Condense	5 log of 7w-1/2*( log of 7y)+7 log of 7x	$5 \log (7) w - \frac{1}{2} \cdot (\log (7) y) + 7 \log (7) x$
22308	Simplify/Condense	5 log of x-1/3* log of x^2+1+4 log of x-1	$5 \log (x) - \frac{1}{3} \cdot \log (x^{2} + 1) + 4 \log (x - 1)$
22309	Simplify/Condense	5 log of x-1/5* log of x^2+1+3 log of x-1	$5 \log (x) - \frac{1}{5} \cdot \log (x^{2} + 1) + 3 \log (x - 1)$
22310	Simplify/Condense	5 log of x+ log of y- log of z	$5 \log (x) + \log (y) - \log (z)$
22311	Simplify/Condense	5 log of x-2 log of x+2+ log of x-5	$5 \log (x) - 2 \log (x + 2) + \log (x - 5)$
22312	Simplify/Condense	5 log of x-2 log of y	$5 \log (x) - 2 \log (y)$
22313	Simplify/Condense	natural log of (9/2)/( natural log of 3)+3*1/5	$\ln (\frac{\frac{9}{2}}{\ln (3)} + 3) \cdot \frac{1}{5}$
22314	Simplify/Condense	natural log of (a^3)/(b^4c^3)	$\ln (\frac{a^{3}}{b^{4} c^{3}})$
22315	Simplify/Condense	log of 29- log of 25	$\log (2) \cdot 9 - \log (2) \cdot 5$
22316	Simplify/Condense	log of 20* log base 20 of 60* log base 60 of 100	$\log (20) \cdot \log_{20} (60) \cdot \log_{60} (100)$
22317	Simplify/Condense	log of 20+2 log of 1/2+ log of x	$\log (20) + 2 \log (\frac{1}{2}) + \log (x)$
22318	Simplify/Condense	log of 200x log of 10000	$\log (200 x \log (10000))$
22319	Simplify/Condense	log of 216	$\log (216)$
22320	Simplify/Condense	log of 235	$\log (235)$
22321	Graph	1- log base 4 of x	$1 - \log_{4} (x)$
22322	Simplify/Condense	log of 250+2 log of 2	$\log (250) + 2 \log (2)$
22323	Simplify/Condense	log of 27+ log of 1/9	$\log (27) + \log (\frac{1}{9})$
22324	Simplify/Condense	log of 2x=3	$\log (2 x) = 3$
22325	Simplify/Condense	log of 3 square root of x- log of 3x^3	$\log (3) \sqrt{x} - \log (3 x^{3})$
22326	Simplify/Condense	log of 3x^2	$\log (3) x^{2}$
22327	Simplify/Condense	log of 3+ log of 40- log of 8	$\log (3) + \log (40) - \log (8)$
22328	Simplify/Condense	log of 33+ log of 327	$\log (3) \cdot 3 + \log (3) \cdot 27$
22329	Simplify/Condense	log of x^2-121- log of x+11	$\log (x^{2} - 121) - \log (x + 11)$
22330	Simplify/Condense	log of x^2-2x-48- log of x^2-36	$\log (x^{2} - 2 x - 48) - \log (x^{2} - 36)$
22331	Simplify/Condense	log of x^2-36	$\log (x^{2} - 36)$
22332	Simplify/Condense	log of x^2-4x-12- log of x^2-4	$\log (x^{2} - 4 x - 12) - \log (x^{2} - 4)$
22333	Simplify/Condense	log of x^2-5x-14- log of x^2-4	$\log (x^{2} - 5 x - 14) - \log (x^{2} - 4)$
22334	Simplify/Condense	log of 1000000- log of 100	$\log (1000000) - \log (100)$
22335	Simplify/Condense	log of x^3y^2-2 log of x cube root of y-3 log of x/y	$\log (x^{3} y^{2}) - 2 \log (x) \sqrt[3]{y} - 3 \log (\frac{x}{y})$
22336	Simplify/Condense	log of x^3y^2-2 log of x cube root of y-3 log of x/y	$\log (x^{3} y^{2}) - 2 \log (x \sqrt[3]{y}) - 3 \log (\frac{x}{y})$
22337	Simplify/Condense	log of x^3y^2-2 log of x cube root of y-3 log of y/x	$\log (x^{3} y^{2}) - 2 \log (x \sqrt[3]{y}) - 3 \log (\frac{y}{x})$
22338	Simplify/Condense	log of x^3y^2-2 log of x cube root of y- log of x/y	$\log (x^{3} y^{2}) - 2 \log (x \sqrt[3]{y}) - \log (\frac{x}{y})$
22339	Simplify/Condense	log of x^5y^2z	$\log (x^{5} y^{2} z)$
22340	Simplify/Condense	log of x^60	$\log (x^{60})$
22341	Simplify/Condense	log of (x+y)/(w-z)	$\log (\frac{x + y}{w - z})$
22342	Solve for ?	square root of 3cot(theta)+1=0	$\sqrt{3} \cot (θ) + 1 = 0$
22343	Simplify/Condense	log of zy^2	$\log (z y^{2})$
22344	Simplify/Condense	log of 0.01+ log of 1000	$\log (0.01) + \log (1000)$
22345	Simplify/Condense	log of 0.8	$\log (0.8)$
22346	Solve for ?	1-sin(theta)=1/2	$1 - \sin (θ) = \frac{1}{2}$
22347	Simplify/Condense	log of 1-1/(x^3)	$\log (1 - \frac{1}{x^{3}})$
22348	Simplify/Condense	log of 7+ log of 20- log of 4	$\log (7) + \log (20) - \log (4)$
22349	Simplify/Condense	log of 75x^5- log of 5x	$\log (75 x^{5}) - \log (5 x)$
22350	Solve for ?	sin(theta)=-( square root of 2)/2	$\sin (θ) = - \frac{\sqrt{2}}{2}$
22351	Simplify/Condense	log of 8+ log of 5+ log of 4- log of 40	$\log (8) + \log (5) + \log (4) - \log (40)$
22352	Simplify/Condense	log of 8x+3 log of x- log of 2x^2	$\log (8 x) + 3 \log (x) - \log (2 x^{2})$
22353	Simplify/Condense	log of 8x+10=2	$\log (8 x + 10) = 2$
22354	Solve for ?	cos(theta)^2+2cos(theta)+1=0	$\cos^{2} (θ) + 2 \cos (θ) + 1 = 0$
22355	Simplify/Condense	log of 9* log of 729^(1/3)	$\log (9) \cdot \log (729^{\frac{1}{3}})$
22356	Simplify/Condense	log of 9+ log of 28- log of 7	$\log (9) + \log (28) - \log (7)$
22357	Simplify/Condense	log of 9 square root of 3	$\log (9 \sqrt{3})$
22358	Simplify/Condense	log of 90-0.2 log of 12+1	$\log (90) - 0.2 \log (12 + 1)$
22359	Simplify/Condense	log of a+9 log of b	$\log (a) + 9 \log (b)$
22360	Simplify/Condense	log of A+ log of B-2 log of C	$\log (A) + \log (B) - 2 \log (C)$
22361	Simplify/Condense	log of a+b+ log of a-b	$\log (a + b) + \log (a - b)$
22362	Simplify/Condense	log of AB- log of CD	$\log (A B) - \log (C D)$
22363	Simplify/Condense	log of b*(x^3y^2)/( square root of w)	$\log (b) \cdot \frac{x^{3} y^{2}}{\sqrt{w}}$
22364	Simplify/Condense	log of b+6 log of c	$\log (b) + 6 \log (c)$
22365	Simplify/Condense	log of b+7 log of c	$\log (b) + 7 \log (c)$
22366	Simplify/Condense	log of b*(4 square root of (x^7(y^2))/(z^4))	$\log (b) \cdot (4 \sqrt{\frac{x^{7} (y^{2})}{z^{4}}})$
22367	Simplify/Condense	log of b*(4x^2y)	$\log (b) \cdot (4 x^{2} y)$
22368	Simplify/Condense	log of log of 1000^100000	$\log (\log (1000^{100000}))$
22369	Simplify/Condense	log of M-3 log of N	$\log (M) - 3 \log (N)$
22370	Simplify/Condense	log of m-3 log of n	$\log (m - 3 \log (n))$
22371	Simplify/Condense	log of 4+ log of 17	$\log (4) + \log (17)$
22372	Simplify/Condense	log of 4+ log of 20- log of 5	$\log (4) + \log (20) - \log (5)$
22373	Simplify/Condense	log of 4+ log of 3- log of 2	$\log (4) + \log (3) - \log (2)$
22374	Simplify/Condense	log of 4x^2-9- natural log of 8x^3-27	$\log (4 x^{2} - 9) - \ln (8 x^{3} - 27)$
22375	Simplify/Condense	log of 40+ log of 1/8	$\log (40) + \log (\frac{1}{8})$
22376	Simplify/Condense	log of 45+ log of 1/9	$\log (45) + \log (\frac{1}{9})$
22377	Simplify/Condense	log of 49+1/2* log of 5- log of 7	$\log (49) + \frac{1}{2} \cdot \log (5) - \log (7)$
22378	Solve for x	log base 5 of x+ log base 5 of x-3 = log base 5 of 18	$\log_{5} (x) + \log_{5} (x - 3) = \log_{5} (18)$
22379	Simplify/Condense	log of 5(( seventh root of m sixth root of n)/(k^2))	$\log (5) (\frac{\sqrt[7]{m} \sqrt[6]{n}}{k^{2}})$
22380	Simplify/Condense	log of 5(125/( square root of x-1))	$\log (5) (\frac{125}{\sqrt{x - 1}})$
22381	Simplify/Condense	log of 5(4 square root of x)	$\log (5) (4 \sqrt{x})$
22382	Simplify/Condense	log of 5+1/2* log of x- log of y+3	$\log (5) + \frac{1}{2} \cdot \log (x) - \log (y + 3)$
22383	Solve for x	x(4x-11)=20	$x (4 x - 11) = 20$
22384	Simplify/Condense	log of 12+ log of 3	$\log (12) + \log (3)$
22385	Simplify	(sin(x+2pi))/(cos(x-2pi))	$\frac{\sin (x + 2 π)}{\cos (x - 2 π)}$
22386	Simplify/Condense	log of 125+ log of 80	$\log (125) + \log (80)$
22387	Simplify/Condense	log of 13*80.3	$\log (13) \cdot 80.3$
22388	Simplify/Condense	log of 14+1/2* log of 5- log of 2	$\log (14) + \frac{1}{2} \cdot \log (5) - \log (2)$
22389	Simplify/Condense	log of 15- log of 3	$\log (15) - \log (3)$
22390	Simplify/Condense	log of 16+4 log of 5	$\log (16) + 4 \log (5)$
22391	Simplify/Condense	log of 16*32	$\log (16) \cdot 32$
22392	Simplify/Condense	log of 18	$\log (18)$
22393	Simplify/Condense	log of 18+1/2* log of 6- log of 2	$\log (18) + \frac{1}{2} \cdot \log (6) - \log (2)$
22394	Simplify/Condense	log of 2(5x-8)	$\log (2 (5 x - 8))$
22395	Simplify/Condense	log of 2+3 log of x-2 log of y	$\log (2) + 3 \log (x) - 2 \log (y)$
22396	Simplify/Condense	log of (p^3q^6)/(m^3b^9)	$\log (\frac{p^{3} q^{6}}{m^{3} b^{9}})$
22397	Simplify/Condense	log of ( square root of 3)^81	$\log ({(\sqrt{3})}^{81})$
22398	Simplify/Condense	natural log of 6x-5+ natural log of x-1 natural log of 5	$\ln (6 x - 5) + \ln (x - 1) \ln (5)$
22399	Simplify/Condense	natural log of 5e^y	$\ln (5 e^{y})$
22400	Simplify/Condense	natural log of 54	$\ln (54)$