Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39101	Simplify/Condense	natural log of cube root of 7r^6s	$\ln (\sqrt[3]{7 r^{6} s})$
39102	Simplify/Condense	natural log of cube root of pq	$\ln (\sqrt[3]{p q})$
39103	Simplify/Condense	natural log of seventh root of e^3	$\ln (\sqrt[7]{e^{3}})$
39104	Simplify/Condense	natural log of x/ex	$\ln (\frac{x}{e}) x$
39105	Simplify/Condense	6 natural log of x+7-5 natural log of x	$6 \ln (x + 7) - 5 \ln (x)$
39106	Simplify/Condense	6 log of 1/(72d^4)	$6 \log (\frac{1}{72 d^{4}})$
39107	Simplify/Condense	6 log of b(q)- log of b(r)	$6 \log (b (q)) - \log (b (r))$
39108	Simplify/Condense	6 log of x-(2 log of y+3 log of z)	$6 \log (x) - (2 \log (y) + 3 \log (z))$
39109	Simplify/Condense	-7.53* natural log of 35+50	$- 7.53 \cdot \ln (35) + 50$
39110	Simplify/Condense	7 log base b of y-1/2* log base b of w+4 log base b of z	$7 \log_{b} (y) - \frac{1}{2} \cdot \log_{b} (w) + 4 \log_{b} (z)$
39111	Simplify/Condense	7 log base c of y-1/3* log base c of x+5 log base c of z	$7 \log_{c} (y) - \frac{1}{3} \cdot \log_{c} (x) + 5 \log_{c} (z)$
39112	Simplify/Condense	7+2 natural log of e^(5x)	$7 + 2 \ln (e^{5 x})$
39113	Simplify/Condense	7 log of x+2 log of y	$7 \log (x) + 2 \log (y)$
39114	Simplify/Condense	8 log base 2 of square root of 3x-2- log base 2 of 4/x	$8 \log_{2} (\sqrt{3 x - 2}) - \log_{2} (\frac{4}{x})$
39115	Simplify/Condense	natural log of x/(x-10)+ natural log of (x+10)/x- natural log of x^2-100	$\ln (\frac{x}{x - 10}) + \ln (\frac{x + 10}{x}) - \ln (x^{2} - 100)$
39116	Convert to Interval Notation	(-x+6)/(x-8)>=0	$\frac{- x + 6}{x - 8} \geq 0$
39117	Simplify/Condense	natural log of x^2	$\ln (x^{2})$
39118	Simplify/Condense	natural log of x^2 square root of x/y	$\ln (x^{2}) \sqrt{\frac{x}{y}}$
39119	Simplify/Condense	natural log of x^2e^x	$\ln (x^{2} e^{x})$
39120	Simplify/Condense	natural log of x^2 square root of x/y	$\ln (x^{2} \sqrt{\frac{x}{y}})$
39121	Simplify/Condense	natural log of x^2+81	$\ln (x^{2} + 81)$
39122	Simplify/Condense	natural log of x^2-4- natural log of x-2	$\ln (x^{2} - 4) - \ln (x - 2)$
39123	Simplify/Condense	natural log of x^3-5 natural log of fifth root of x^2	$\ln (x^{3}) - 5 \ln (\sqrt[5]{x^{2}})$
39124	Simplify/Condense	natural log of x^4*24	$\ln (x^{4}) \cdot 24$
39125	Simplify/Condense	natural log of x^5y^7z	$\ln (x^{5} y^{7} z)$
39126	Simplify/Condense	natural log of x^8- natural log of x^3	$\ln (x^{8}) - \ln (x^{3})$
39127	Simplify/Condense	natural log of xe^x	$\ln (x e^{x})$
39128	Simplify	(2+i)-(-3+9i)	$(2 + i) - (- 3 + 9 i)$
39129	Solve for x	\|x+6\|=\|x-1\|	$\| x + 6 \| = \| x - 1 \|$
39130	Simplify/Condense	natural log of 0.125	$\ln (0.125)$
39131	Solve for x	x^2(x-4)=0	$x^{2} (x - 4) = 0$
39132	Simplify/Condense	natural log of 1.9	$\ln (1.9)$
39133	Simplify/Condense	natural log of 1+x^5+1/2* natural log of x- natural log of cos(x)	$\ln (1 + x^{5}) + \frac{1}{2} \cdot \ln (x) - \ln (\cos (x))$
39134	Simplify/Condense	natural log of 14.67	$\ln (14.67)$
39135	Simplify/Condense	natural log of 16e^3- log base 5 of 100+ log base 2 of 36	$\ln (16 e^{3}) - \log_{5} (100) + \log_{2} (36)$
39136	Expand the Logarithmic Expression	log base 3 of 53	$\log_{3} (53)$
39137	Expand the Logarithmic Expression	log base 3 of (27x)/(x+1)	$\log_{3} (\frac{27 x}{x + 1})$
39138	Expand the Logarithmic Expression	log base 3 of 46	$\log_{3} (46)$
39139	Expand the Logarithmic Expression	log base 3 of 3x^5y^2	$\log_{3} (3 x^{5} y^{2})$
39140	Expand the Logarithmic Expression	log base 3 of 3x+12y	$\log_{3} (3 x + 12 y)$
39141	Expand the Logarithmic Expression	log base 3 of 4* log base 4 of 5* log base 5 of 6* log base 6 of 7* log base 7 of 8* log base 8 of 9	$\log_{3} (4) \cdot \log_{4} (5) \cdot \log_{5} (6) \cdot \log_{6} (7) \cdot \log_{7} (8) \cdot \log_{8} (9)$
39142	Expand the Logarithmic Expression	log base 3 of 4a^7	$\log_{3} (4 a^{7})$
39143	Expand the Logarithmic Expression	log base 3 of 4x^5	$\log_{3} (4 x^{5})$
39144	Expand the Logarithmic Expression	log base 3 of 10- log base 3 of 180+ log base 3 of 6	$\log_{3} (10) - \log_{3} (180) + \log_{3} (6)$
39145	Expand the Logarithmic Expression	log base 3 of 10(z)	$\log_{3} (10 (z))$
39146	Expand the Logarithmic Expression	log base 3 of 26	$\log_{3} (26)$
39147	Expand the Logarithmic Expression	log base 3 of 28	$\log_{3} (28)$
39148	Expand the Logarithmic Expression	log base 3 of 29	$\log_{3} (29)$
39149	Expand the Logarithmic Expression	log base 3 of 9x^4- log base 3 of (3x)^2	$\log_{3} (9 x^{4}) - \log_{3} ({(3 x)}^{2})$
39150	Expand the Logarithmic Expression	log base 3 of 9x^9y^4	$\log_{3} (9 x^{9} y^{4})$
39151	Expand the Logarithmic Expression	log base 3 of 90*283	$\log_{3} (90 \cdot 283)$
39152	Expand the Logarithmic Expression	log base 3 of 9x+27y	$\log_{3} (9 x + 27 y)$
39153	Expand the Logarithmic Expression	log base 3 of uvw^4	$\log_{3} (u \cdot v \cdot w^{4})$
39154	Expand the Logarithmic Expression	log base 3 of x(( cube root of x^9y^5)/(z^4))	$\log_{3} (x) (\frac{\sqrt[3]{x^{9} y^{5}}}{z^{4}})$
39155	Expand the Logarithmic Expression	log base 3 of x=5	$\log_{3} (x) = 5$
39156	Expand the Logarithmic Expression	log base 3 of xyz^5	$\log_{3} (x \cdot y \cdot z^{5})$
39157	Expand the Logarithmic Expression	log base 3 of 7x^3 square root of y	$\log_{3} (7 x^{3} \sqrt{y})$
39158	Expand the Logarithmic Expression	log base 3 of 72+ log base 4 of 6	$\log_{3} (72) + \log_{4} (6)$
39159	Expand the Logarithmic Expression	log base 3 of 759	$\log_{3} (759)$
39160	Expand the Logarithmic Expression	log base 3 of 7x=2	$\log_{3} (7 x) = 2$
39161	Expand the Logarithmic Expression	log base 3 of 8* log base 8 of 9	$\log_{3} (8) \cdot \log_{8} (9)$
39162	Expand the Logarithmic Expression	log base 3 of 81*27	$\log_{3} (81 \cdot 27)$
39163	Expand the Logarithmic Expression	log base 3 of 8x-17	$\log_{3} (8 x - 17)$
39164	Expand the Logarithmic Expression	log base 3 of 8y	$\log_{3} (8 y)$
39165	Expand the Logarithmic Expression	log base 3 of 9*27	$\log_{3} (9 \cdot 27)$
39166	Expand the Logarithmic Expression	log base 3 of 9 square root of b	$\log_{3} (9 \sqrt{b})$
39167	Expand the Logarithmic Expression	log base 3 of z^2	$\log_{3} (z^{2})$
39168	Expand the Logarithmic Expression	log base 3 of x^10y^(3/19)	$\log_{3} (x^{10} y^{\frac{3}{19}})$
39169	Expand the Logarithmic Expression	log base 3 of x^14* cube root of y^8	$\log_{3} (x^{14} \cdot \sqrt[3]{y^{8}})$
39170	Expand the Logarithmic Expression	log base 3 of x^2* square root of y/z	$\log_{3} (x^{2} \cdot \sqrt{\frac{y}{z}})$
39171	Expand the Logarithmic Expression	log base 3 of x^2 square root of y/(z^5)	$\log_{3} (x^{2} \sqrt{\frac{y}{z^{5}}})$
39172	Expand the Logarithmic Expression	log base 3 of x^-2y^3	$\log_{3} (x^{- 2} y^{3})$
39173	Expand the Logarithmic Expression	log base 3 of x^2y^4	$\log_{3} (x^{2} y^{4})$
39174	Expand the Logarithmic Expression	log base 3 of (x^3(y^5))/6	$\log_{3} (\frac{x^{3} (y^{5})}{6})$
39175	Expand the Logarithmic Expression	log base 3 of x^4y^2- log base 3 of z fifth root of w^3	$\log_{3} (x^{4} y^{2}) - \log_{3} (z \sqrt[5]{w^{3}})$
39176	Expand the Logarithmic Expression	log base 3 of 13x	$\log_{3} (13 x)$
39177	Expand the Logarithmic Expression	log base 3 of 160	$\log_{3} (160)$
39178	Expand the Logarithmic Expression	log base 3 of 17x	$\log_{3} (17 x)$
39179	Expand the Logarithmic Expression	log base 3 of 18- log base 3 of 100- log base 3 of 50	$\log_{3} (18) - \log_{3} (100) - \log_{3} (50)$
39180	Expand the Logarithmic Expression	log base 3 of 189- log base 3 of 7	$\log_{3} (189) - \log_{3} (7)$
39181	Expand the Logarithmic Expression	log base 3 of 19xy	$\log_{3} (19 x y)$
39182	Expand the Logarithmic Expression	log base 3 of 2*11	$\log_{3} (2 \cdot 11)$
39183	Expand the Logarithmic Expression	log base 3 of fifth root of x*y	$\log_{3} (\sqrt[5]{x} \cdot y)$
39184	Expand the Logarithmic Expression	log base 3 of seventh root of (a^2b)/9	$\log_{3} (\sqrt[7]{\frac{a^{2} b}{9}})$
39185	Expand the Logarithmic Expression	log base 3 of (vx:y)	$\log_{3} ((v x : y))$
39186	Expand the Logarithmic Expression	log base 3 of x/(3y)	$\log_{3} (\frac{x}{3 y})$
39187	Simplify	log base 3 of x	$\log_{3} (x)$
39188	Expand the Logarithmic Expression	log base 3 of fourth root of 2xy^5	$\log_{3} (\sqrt[4]{2 x y^{5}})$
39189	Expand the Logarithmic Expression	log base 3 of fifth root of (x^6y)/9	$\log_{3} (\sqrt[5]{\frac{x^{6} y}{9}})$
39190	Expand the Logarithmic Expression	log base 3 of fifth root of square root of (s^8t)/9	$\log_{3} (\sqrt[5]{\sqrt{\frac{s^{8} t}{9}}})$
39191	Expand the Logarithmic Expression	log base 3 of fifth root of 3	$\log_{3} (\sqrt[5]{3})$
39192	Expand the Logarithmic Expression	log base 3 of fifth root of 81	$\log_{3} (\sqrt[5]{81})$
39193	Expand the Logarithmic Expression	log base 3 of cube root of 16	$\log_{3} (\sqrt[3]{16})$
39194	Expand the Logarithmic Expression	log base 3 of cube root of 6	$\log_{3} (\sqrt[3]{6})$
39195	Expand the Logarithmic Expression	log base 3 of cube root of 8711	$\log_{3} (\sqrt[3]{8 \cdot 7 \cdot 11})$
39196	Expand the Logarithmic Expression	log base 3 of cube root of 9	$\log_{3} (\sqrt[3]{9})$
39197	Expand the Logarithmic Expression	log base 3 of square root of x- log base 3 of (x)^5	$\log_{3} (\sqrt{x}) - \log_{3} ({(x)}^{5})$
39198	Expand the Logarithmic Expression	log base 3 of 9/( square root of x+3)	$\log_{3} (\frac{9}{\sqrt{x + 3}})$
39199	Expand the Logarithmic Expression	log base 3 of 9/( square root of x+5)	$\log_{3} (\frac{9}{\sqrt{x + 5}})$
39200	Expand the Logarithmic Expression	log base 3 of 9/( square root of x+7)	$\log_{3} (\frac{9}{\sqrt{x + 7}})$