Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
8101	Simplify	(1+2 square root of -3)/(1+ square root of -3)	$\frac{(1 + 2 \sqrt{- 3})}{(1 + \sqrt{- 3})}$
8102	Convert to Radical Form	2^(5/3)	$2^{\frac{5}{3}}$
8103	Factor	96-6x^2	$96 - 6 x^{2}$
8104	Find the LCD	7/(3x)+2/x+x/(x-1)	$\frac{7}{3 x} + \frac{2}{x} + \frac{x}{x - 1}$
8105	Solve for x	2 log base 9 of x = log base 9 of 8+ log base 9 of x-2	$2 \log_{9} (x) = \log_{9} (8) + \log_{9} (x - 2)$
8106	Solve for x	0=0.3x^5-7x^2+3x-5	$0 = 0.3 x^{5} - 7 x^{2} + 3 x - 5$
8107	Find the Inverse	f(x)=2x-8	$f (x) = 2 x - 8$
8108	Solve for x	log base 5 of 10x-1 = log base 5 of 9x+7	$\log_{5} (10 x - 1) = \log_{5} (9 x + 7)$
8109	Graph	y=f(1/2x)	$y = f (\frac{1}{2} x)$
8110	Find the Domain and Range	- log base 2 of x	$- \log_{2} (x)$
8111	Convert to Logarithmic Form	8=2^3	$8 = 2^{3}$
8112	Simplify	((3x^2y^-3)^3)/(27(xy)^-9)	$\frac{{(3 x^{2} y^{- 3})}^{3}}{27 {(x y)}^{- 9}}$
8113	Convert to Logarithmic Form	6^-2=1/36	$6^{- 2} = \frac{1}{36}$
8114	Simplify	square root of 80b^2	$\sqrt{80 b^{2}}$
8115	Evaluate	log of 45	$\log (45)$
8116	Solve for x	log base x of 100+ log base x of 1000=5	$\log_{x} (100) + \log_{x} (1000) = 5$
8117	Evaluate	log base 6 of 1/( square root of 6)	$\log_{6} (\frac{1}{\sqrt{6}})$
8118	Solve for x	log base 7 of 3x^3+x- log base 7 of x=2	$\log_{7} (3 x^{3} + x) - \log_{7} (x) = 2$
8119	Evaluate	log base 5 of 7	$\log_{5} (7)$
8120	Convert to a Simplified Fraction	0.96	$0.96$
8121	Graph	y=1/2f(x)	$y = \frac{1}{2} f (x)$
8122	Find the Parallel Line	y-2x=-8(x-8) , (6,-6)	$y - 2 x = - 8 (x - 8)$ , $(6, - 6)$
8123	Expand the Logarithmic Expression	log base 6 of 216	$\log_{6} (216)$
8124	Simplify	square root of 200y^4	$\sqrt{200 y^{4}}$
8125	Graph	y = log base 1 of x	$y = \log_{1} (x)$
8126	Evaluate	(6^2)/(2(3)+4)	$\frac{6^{2}}{2 (3) + 4}$
8127	Simplify	square root of 56z^7	$\sqrt{56 z^{7}}$
8128	Evaluate	(1/27)^(-2/3)	${(\frac{1}{27})}^{- \frac{2}{3}}$
8129	Evaluate	(-100)^(-3/2)	${(- 100)}^{- \frac{3}{2}}$
8130	Evaluate	f(-3)	$f (- 3)$
8131	Graph	y=2^(x-1)	$y = 2^{x - 1}$
8132	Solve for x	log base 3 of 18x^3- log base 3 of 2x = log base 3 of 144	$\log_{3} (18 x^{3}) - \log_{3} (2 x) = \log_{3} (144)$
8133	Evaluate	36/3	$\frac{36}{3}$
8134	Solve for x	square root of x-2=x-8	$\sqrt{x - 2} = x - 8$
8135	Evaluate	13/4	$\frac{13}{4}$
8136	Evaluate	18/4	$\frac{18}{4}$
8137	Solve for x	log base 4 of x+ log base 4 of x-3 = log base 4 of -7x+21	$\log_{4} (x) + \log_{4} (x - 3) = \log_{4} (- 7 x + 21)$
8138	Evaluate	196^(1/2)	$196^{\frac{1}{2}}$
8139	Evaluate	3/25	$\frac{3}{25}$
8140	Convert to Logarithmic Form	2^6=64	$2^{6} = 64$
8141	Divide	36÷4	$36 \div 4$
8142	Evaluate	e^2.8	$e^{2.8}$
8143	Evaluate	square root of 15* square root of 21	$\sqrt{15} \cdot \sqrt{21}$
8144	Rationalize the Denominator	1/( square root of x- square root of x-1)	$\frac{1}{\sqrt{x} - \sqrt{x - 1}}$
8145	Evaluate	5^-5	$5^{- 5}$
8146	Factor	108-3x^2	$108 - 3 x^{2}$
8147	Evaluate	5^(2/3)	$5^{\frac{2}{3}}$
8148	Multiply	(x^2+8x+15)/(x-4)*(x^2-16)/(2x+6)	$\frac{x^{2} + 8 x + 15}{x - 4} \cdot \frac{x^{2} - 16}{2 x + 6}$
8149	Evaluate	48/16	$\frac{48}{16}$
8150	Convert to Logarithmic Form	9^3=729	$9^{3} = 729$
8151	Evaluate	8^(1/2)	$8^{\frac{1}{2}}$
8152	Simplify	square root of 120x	$\sqrt{120 x}$
8153	Simplify	(2a+2)/(a^2-1)	$\frac{2 a + 2}{a^{2} - 1}$
8154	Evaluate	9/7	$\frac{9}{7}$
8155	Evaluate	9/20	$\frac{9}{20}$
8156	Evaluate	log base 3 of 1/243	$\log_{3} (\frac{1}{243})$
8157	Evaluate	64/3	$\frac{64}{3}$
8158	Graph	y=\|x\|+5	$y = \| x \| + 5$
8159	Graph	y = cube root of x-5	$y = \sqrt[3]{x - 5}$
8160	Evaluate	2 3/4	$2 \frac{3}{4}$
8161	Convert to a Decimal	12%	$12 %$
8162	Simplify	fourth root of 3/(2x)	$\sqrt[4]{\frac{3}{2 x}}$
8163	Convert to a Decimal	2%	$2 %$
8164	Find the Prime Factorization	85	$85$
8165	Factor	64x^3+y^3	$64 x^{3} + y^{3}$
8166	Reduce the Fraction	3/5	$\frac{3}{5}$
8167	Factor	5x^2-320	$5 x^{2} - 320$
8168	Convert to a Decimal	9/4	$\frac{9}{4}$
8169	Find the Prime Factorization	252	$252$
8170	Find the Prime Factorization	256	$256$
8171	Find the Prime Factorization	26	$26$
8172	Simplify	fourth root of 144a^12b^3	$\sqrt[4]{144 a^{12} b^{3}}$
8173	Find the Prime Factorization	29	$29$
8174	Simplify	square root of 52x^4	$\sqrt{52 x^{4}}$
8175	Simplify	square root of (2x^5)/18	$\sqrt{\frac{2 x^{5}}{18}}$
8176	Evaluate	-8-5	$- 8 - 5$
8177	Find the Quadratic Equation	(2,-3)	$(2, - 3)$
8178	Find the Quadratic Equation	(0,4)	$(0, 4)$
8179	Graph	y=f(2x)	$y = f (2 x)$
8180	Simplify	(x^2+5x-14)/(x^2+8x+7)	$\frac{x^{2} + 5 x - 14}{x^{2} + 8 x + 7}$
8181	Simplify	3x square root of 5	$3 x \sqrt{5}$
8182	Find the Vertex	y=x^2-8x+19	$y = x^{2} - 8 x + 19$
8183	Simplify	(6x^8)/(3x^2)	$\frac{6 x^{8}}{3 x^{2}}$
8184	Simplify	(12x^6)/(6x^3)	$\frac{12 x^{6}}{6 x^{3}}$
8185	Simplify	(x^2-4)/(x^2+5x+6)	$\frac{x^{2} - 4}{x^{2} + 5 x + 6}$
8186	Find the Vertex	y=x^2+x-6	$y = x^{2} + x - 6$
8187	Simplify	square root of 72z^5	$\sqrt{72 z^{5}}$
8188	Find the Vertex	y=-x^2+9	$y = - x^{2} + 9$
8189	Expand Using the Binomial Theorem	(3x-4y)^2	${(3 x - 4 y)}^{2}$
8190	Expand Using the Binomial Theorem	(x-y)^4	${(x - y)}^{4}$
8191	Simplify	-64^(1/3)	$- 64^{\frac{1}{3}}$
8192	Graph Using a Table of Values	y=3x	$y = 3 x$
8193	Write as a Single Logarithm	2 log base 5 of 5x^3+1/3 log base 5 of x^2+6	$2 \log_{5} (5 x^{3}) + \frac{1}{3} \log_{5} (x^{2} + 6)$
8194	Evaluate	( square root of 500)/( square root of 5)	$\frac{\sqrt{500}}{\sqrt{5}}$
8195	Evaluate	( cube root of 162)/( cube root of 2)	$\frac{\sqrt[3]{162}}{\sqrt[3]{2}}$
8196	Expand the Logarithmic Expression	log base 2 of (x^9)/(5y)	$\log_{2} (\frac{x^{9}}{5 y})$
8197	Evaluate	(2 square root of 2)^2	${(2 \sqrt{2})}^{2}$
8198	Evaluate	fourth root of 16/81	$\sqrt[4]{\frac{16}{81}}$
8199	Evaluate	fourth root of 10	$\sqrt[4]{10}$
8200	Evaluate	2 square root of 4	$2 \sqrt{4}$