Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39001	Simplify/Condense	log of square root of b^6c	$\log (\sqrt{b^{6} c})$
39002	Simplify/Condense	log of square root of r^3t	$\log (\sqrt{r^{3} t})$
39003	Simplify/Condense	log of square root of zx^9y^4	$\log (\sqrt{z x^{9} y^{4}})$
39004	Simplify/Condense	2 log base 2 of w+2( log base 2 of z-2 log base 2 of y)	$2 \log_{2} (w) + 2 (\log_{2} (z) - 2 \log_{2} (y))$
39005	Find the Vertex	6x^2+12y-18=0	$6 x^{2} + 12 y - 18 = 0$
39006	Simplify/Condense	2 log base 3 of x+3- log base 3 of x-15- log base 3 of x-6	$2 \log_{3} (x + 3) - \log_{3} (x - 15) - \log_{3} (x - 6)$
39007	Simplify/Condense	2 log base 5 of 1	$2 \log_{5} (1)$
39008	Find the Domain and Range	square root of 36-x^2	$\sqrt{36 - x^{2}}$
39009	Simplify/Condense	2 log base 6 of 6^(3x+1)	$2 \log_{6} (6^{3 x + 1})$
39010	Simplify/Condense	log of 1/100	$\log (\frac{1}{100})$
39011	Simplify/Condense	log of 1/3*243	$\log (\frac{1}{3}) \cdot 243$
39012	Simplify/Condense	log of 1/3*729	$\log (\frac{1}{3}) \cdot 729$
39013	Simplify/Condense	log of 1/3*9	$\log (\frac{1}{3}) \cdot 9$
39014	Simplify/Condense	log of 1/500	$\log (\frac{1}{500})$
39015	Simplify/Condense	log of 10^6x^2	$\log (10^{6} x^{2})$
39016	Simplify/Condense	log of (100xy^4)/(z^2)	$\log (\frac{100 x y^{4}}{z^{2}})$
39017	Simplify/Condense	log of 1000^10000	$\log (1000^{10000})$
39018	Simplify/Condense	log of (5x^5)/(y^9)	$\log (\frac{5 x^{5}}{y^{9}})$
39019	Simplify/Condense	log of 51/y	$\log (\frac{51}{y})$
39020	Simplify/Condense	log of 6^-2	$\log (6^{- 2})$
39021	Simplify/Condense	log of 7^(-1/5)*100	$\log (7^{- \frac{1}{5}}) \cdot 100$
39022	Simplify/Condense	log of 8/3- log of 49	$\log (\frac{8}{3}) - \log (49)$
39023	Find the Domain and Range	log base 3 of x-2	$\log_{3} (x - 2)$
39024	Simplify/Condense	natural log of x+2+ natural log of 3x	$\ln (x + 2) + \ln (3 x)$
39025	Simplify/Condense	natural log of x+5 natural log of y-1/3* natural log of z	$\ln (x + 5 \ln (y - \frac{1}{3} \cdot \ln (z)))$
39026	Simplify/Condense	natural log of x-2+ natural log of 2x-3	$\ln (x - 2) + \ln (2 x - 3)$
39027	Simplify/Condense	natural log of x-4( natural log of xy^2+3 natural log of x^-1)+ natural log of (y^6)/(x^3)	$\ln (x - 4) (\ln (x y^{2}) + 3 \ln (x^{- 1})) + \ln (\frac{y^{6}}{x^{3}})$
39028	Simplify/Condense	natural log of yz	$\ln (y z)$
39029	Simplify/Condense	log of (1 square root of 1000)/1000	$\log (\frac{1 \sqrt{1000}}{1000})$
39030	Simplify/Condense	log of (x-7)/(z^7)	$\log (\frac{x - 7}{z^{7}})$
39031	Simplify/Condense	log of (x^2)/(x^(2-1))+ log of (x^2+1)/x	$\log (\frac{x^{2}}{x^{2 - 1}}) + \log (\frac{x^{2} + 1}{x})$
39032	Simplify/Condense	log of (x^2)/(10x-250)	$\log (\frac{x^{2}}{10 x - 250})$
39033	Simplify/Condense	log of 1/0.001	$\log (\frac{1}{0.001})$
39034	Simplify/Condense	log of 1/(10^-3)+ log of 10^4	$\log (\frac{1}{10^{- 3}}) + \log (10^{4})$
39035	Simplify/Condense	log of 1/( cube root of 3)	$\log (\frac{1}{\sqrt[3]{3}})$
39036	Simplify/Condense	natural log of 6+ natural log of x-1=0	$\ln (6) + \ln (x - 1) = 0$
39037	Simplify/Condense	natural log of 8+2 natural log of x-7 natural log of y	$\ln (8) + 2 \ln (x) - 7 \ln (y)$
39038	Simplify/Condense	natural log of 8+4 natural log of x+6 natural log of x^2+8	$\ln (8) + 4 \ln (x) + 6 \ln (x^{2} + 8)$
39039	Simplify/Condense	natural log of 8x^3	$\ln (8 x^{3})$
39040	Simplify/Condense	natural log of 8+2 natural log of 2	$\ln (8 + 2) \ln (2)$
39041	Find the Exact Value	sin(410)	$\sin (410)$
39042	Simplify/Condense	natural log of e- natural log of e	$\ln (e) - \ln (e)$
39043	Simplify/Condense	natural log of x(x+1)(x+2)	$\ln (x (x + 1) (x + 2))$
39044	Simplify/Condense	natural log of x-2 natural log of x^2+1+0.5 natural log of 3-x^4	$\ln (x) - 2 \ln (x^{2} + 1) + 0.5 \ln (3 - x^{4})$
39045	Simplify/Condense	natural log of x-3 natural log of y	$\ln (x) - 3 \ln (y)$
39046	Simplify/Condense	natural log of x-1/x+ natural log of x/(x+1)	$\ln (x - \frac{1}{x}) + \ln (\frac{x}{x + 1})$
39047	Simplify/Condense	natural log of 2+ natural log of x+3( natural log of x- natural log of y)	$\ln (2) + \ln (x) + 3 (\ln (x) - \ln (y))$
39048	Simplify/Condense	natural log of 2-0.012x	$\ln (2) - 0.012 x$
39049	Simplify/Condense	natural log of 2.2	$\ln (2.2)$
39050	Simplify/Condense	natural log of 20	$\ln (20)$
39051	Simplify/Condense	natural log of 2x-1/2* natural log of x^2+1+2 natural log of x+1	$\ln (2 x) - \frac{1}{2} \cdot \ln (x^{2} + 1) + 2 \ln (x + 1)$
39052	Simplify/Condense	natural log of 2x-1+ natural log of 2x-1	$\ln (2 x - 1) + \ln (2 x - 1)$
39053	Simplify/Condense	natural log of 2x-1-5 natural log of x+1-4 natural log of x+2	$\ln (2 x - 1) - 5 \ln (x + 1) - 4 \ln (x + 2)$
39054	Simplify/Condense	natural log of 3e^3- natural log of e^5	$\ln (3 e^{3}) - \ln (e^{5})$
39055	Simplify/Condense	natural log of 300	$\ln (300)$
39056	Simplify/Condense	natural log of 4x^2-4x+ natural log of 1/(4x)	$\ln (4 x^{2} - 4 x) + \ln (\frac{1}{4 x})$
39057	Simplify/Condense	natural log of 4x+ natural log of 2x	$\ln (4 x) + \ln (2 x)$
39058	Simplify/Condense	natural log of 5cos(x)^4	$\ln (5 \cos^{4} (x))$
39059	Simplify/Condense	natural log of 5e^4	$\ln (5 e^{4})$
39060	Simplify/Condense	natural log of 5e	$\ln (5 e)$
39061	Simplify/Condense	8 log base 2 of square root of 6x-5- log base 2 of 6/x+ log base 2 of 6	$8 \log_{2} (\sqrt{6 x - 5}) - \log_{2} (\frac{6}{x}) + \log_{2} (6)$
39062	Simplify/Condense	8 log base 8 of 15	$8 \log_{8} (15)$
39063	Simplify/Condense	8x^2 natural log of x	$8 x^{2} \ln (x)$
39064	Simplify/Condense	8+34 natural log of 4	$8 + 34 \ln (4)$
39065	Simplify/Condense	80-17 log of 5	$80 - 17 \log (5)$
39066	Simplify/Condense	8 natural log of x-1/3* natural log of x^2+5	$8 \ln (x) - \frac{1}{3} \cdot \ln (x^{2} + 5)$
39067	Simplify/Condense	8 log of 7*7^9	$8 \log (7) \cdot 7^{9}$
39068	Simplify/Condense	9 log of (3)^3 square root of y	$9 \log ({(3)}^{3} \sqrt{y})$
39069	Simplify/Condense	9 log base 9 of 15	$9 \log_{9} (15)$
39070	Simplify/Condense	9 log base 9 of 8	$9 \log_{9} (8)$
39071	Simplify/Condense	-9 log base b of x-2 log base b of y+1/4* log base b of z	$- 9 \log_{b} (x) - 2 \log_{b} (y) + \frac{1}{4} \cdot \log_{b} (z)$
39072	Simplify/Condense	90-15 log of 0+1	$90 - 15 \log (0 + 1)$
39073	Simplify/Condense	90-15 log of 10(0+1)	$90 - 15 \log (10) (0 + 1)$
39074	Simplify/Condense	9 natural log of x-1/8* natural log of y	$9 \ln (x) - \frac{1}{8} \cdot \ln (y)$
39075	Simplify/Condense	9 natural log of x-3-11 natural log of x	$9 \ln (x - 3) - 11 \ln (x)$
39076	Simplify/Condense	9 log of cube root of x	$9 \log (\sqrt[3]{x})$
39077	Simplify/Condense	anti natural log of -0.049	antiln $(- 0.049)$
39078	Simplify/Condense	f(x)-6x-1 natural log of 4x^2	$f (x) - 6 x - 1 \ln (4 x^{2})$
39079	Simplify/Condense	natural log of 0.6931.1 fifth root of 36	$\ln (0.693 \cdot 1.1 \cdot \sqrt[5]{36})$
39080	Simplify/Condense	natural log of 0.9918	$\ln (0.9918)$
39081	Simplify/Condense	natural log of 0.54/(0.60/30)	$\ln (\frac{0.54}{\frac{0.6}{30}})$
39082	Simplify/Condense	natural log of (1/4)/x	$\ln (\frac{\frac{1}{4}}{x})$
39083	Simplify/Condense	natural log of (e^3)/4	$\ln (\frac{e^{3}}{4})$
39084	Simplify/Condense	natural log of ( square root of ab^6)/c	$\ln (\frac{\sqrt{a b^{6}}}{c})$
39085	Simplify/Condense	natural log of ( square root of ab^8)/c	$\ln (\frac{\sqrt{a b^{8}}}{c})$
39086	Simplify/Condense	natural log of (x^2 square root of pq^9)/(e^4)	$\ln (\frac{x^{2} \sqrt{p q^{9}}}{e^{4}})$
39087	Simplify/Condense	natural log of 1/(e^7)	$\ln (\frac{1}{e^{7}})$
39088	Simplify/Condense	- natural log of 1/8	$- \ln (\frac{1}{8})$
39089	Simplify/Condense	natural log of 10/x- natural log of 10x	$\ln (\frac{10}{x}) - \ln (10 x)$
39090	Simplify/Condense	natural log of 2^(2 log base 2 of e)	$\ln (2^{2 \log_{2} (e)})$
39091	Simplify/Condense	natural log of (2x)/( square root of x^2-1)	$\ln (\frac{2 x}{\sqrt{x^{2} - 1}})$
39092	Simplify/Condense	natural log of (3 square root of 5)/( cube root of 6)	$\ln (\frac{3 \sqrt{5}}{\sqrt[3]{6}})$
39093	Simplify/Condense	natural log of 36/17	$\ln (\frac{36}{17})$
39094	Simplify/Condense	natural log of (5x square root of 1+3x)/((x-4)^3)	$\ln (\frac{5 x \sqrt{1 + 3 x}}{{(x - 4)}^{3}})$
39095	Simplify/Condense	natural log of a^2 square root of bc^3	$\ln (a^{2} \sqrt{b c^{3}})$
39096	Simplify/Condense	natural log of e^(3/7)	$\ln (e^{\frac{3}{7}})$
39097	Simplify/Condense	natural log of e^10	$\ln (e^{10})$
39098	Simplify/Condense	natural log of e^2x	$\ln (e^{2} x)$
39099	Simplify/Condense	natural log of e^x+2dx	$\ln (e^{x} + 2) d x$
39100	Simplify/Condense	natural log of square root of (x-1)/((x(x-2))^2)	$\ln (\sqrt{\frac{x - 1}{{(x (x - 2))}^{2}}})$