Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
9101	Evaluate	log base 4 of 4^5	$\log_{4} (4^{5})$
9102	Subtract	180-124	$180 - 124$
9103	Evaluate	log base 3 of x	$\log_{3} (x)$
9104	Find the Discriminant	f(x)=x^2-3x+18	$f (x) = x^{2} - 3 x + 18$
9105	Evaluate	log base 6 of 120	$\log_{6} (120)$
9106	Evaluate	log base 3 of square root of 27	$\log_{3} (s q r t (27))$
9107	Find the Vertex	y=2x^2+16x+28	$y = 2 x^{2} + 16 x + 28$
9108	Evaluate	log base 0.25 of 16	$\log_{0.25} (16)$
9109	Evaluate	log of 3*81	$\log (3) \cdot 81$
9110	Evaluate	log of 1/2	$\log (\frac{1}{2})$
9111	Find the Domain	f(x)=(x-5)/(x^2-9)	$f (x) = \frac{x - 5}{x^{2} - 9}$
9112	Evaluate	log base 7 of 98	$\log_{7} (98)$
9113	Write in Standard Form	6x^3-x^3+2x-4	$6 x^{3} - x^{3} + 2 x - 4$
9114	Convert to a Simplified Fraction	0.13	$0.13$
9115	Multiply	(x^2+3x+4)(3x^2-2x+1)	$(x^{2} + 3 x + 4) (3 x^{2} - 2 x + 1)$
9116	Convert to a Simplified Fraction	0.19	$0.19$
9117	Solve Using the Quadratic Formula	x^2-2x+37=0	$x^{2} - 2 x + 37 = 0$
9118	Expand the Logarithmic Expression	log base 64 of 4	$\log_{64} (4)$
9119	Find the x and y Intercepts	y=-2x^2+9x+18	$y = - 2 x^{2} + 9 x + 18$
9120	Expand the Logarithmic Expression	log base 5 of 625x	$\log_{5} (625 x)$
9121	Find the x and y Intercepts	y=1/2(6)^(x+1)	$y = \frac{1}{2} {(6)}^{x + 1}$
9122	Find the Asymptotes	(x^2)/49-(y^2)/25=1	$\frac{x^{2}}{49} - \frac{y^{2}}{25} = 1$
9123	Divide	30÷2	$30 \div 2$
9124	Evaluate	1/2*-1	$\frac{1}{2} \cdot - 1$
9125	Rationalize the Denominator	9/( square root of x- square root of x-3)	$\frac{9}{\sqrt{x} - \sqrt{x - 3}}$
9126	Write with Rational (Fractional) Exponents	ninth root of z	$\sqrt[9]{z}$
9127	Expand the Logarithmic Expression	log base 6 of 4a^5	$\log_{6} (4 a^{5})$
9128	Evaluate	(2/5)^-1	${(\frac{2}{5})}^{- 1}$
9129	Evaluate	(3/7)^-2	${(\frac{3}{7})}^{- 2}$
9130	Evaluate	(3^3)^2	${(3^{3})}^{2}$
9131	Evaluate	(-243)^(4/5)	${(- 243)}^{\frac{4}{5}}$
9132	Find the Vertex	y=-x^2+7x+7	$y = - x^{2} + 7 x + 7$
9133	Convert to Regular Notation	5.301*10^7	$5.301 \cdot 10^{7}$
9134	Evaluate	2/3+1/6	$\frac{2}{3} + \frac{1}{6}$
9135	Multiply	(5k+4)/(2k+6)*(k^2+7k+12)	$\frac{5 k + 4}{2 k + 6} \cdot (k^{2} + 7 k + 12)$
9136	Evaluate	2/5-1/3	$\frac{2}{5} - \frac{1}{3}$
9137	Find the GCF	4x^3a^2+4x^2a^3	$4 x^{3} a^{2} + 4 x^{2} a^{3}$
9138	Find the Inverse	y=2x+5/2	$y = 2 x + \frac{5}{2}$
9139	Evaluate	12/32	$\frac{12}{32}$
9140	Find the Inverse	y=1/5*e^(x+2)	$y = \frac{1}{5} \cdot e^{x + 2}$
9141	Evaluate	12/30	$\frac{12}{30}$
9142	Evaluate	125^(-2/3)	$125^{\frac{- 2}{3}}$
9143	Subtract	(-7d^3-5d^3f^3-3f^3)-(8d^3+4d^3f^3+2f^3)	$(- 7 d^{3} - 5 d^{3} f^{3} - 3 f^{3}) - (8 d^{3} + 4 d^{3} f^{3} + 2 f^{3})$
9144	Evaluate	20/7	$\frac{20}{7}$
9145	Subtract	180-135	$180 - 135$
9146	Evaluate	13*4	$13 \cdot 4$
9147	Evaluate	13*5	$13 \cdot 5$
9148	Add	(-2y^3+5yz+z^2)+(-2y^3-6yz+5)	$(- 2 y^{3} + 5 y z + z^{2}) + (- 2 y^{3} - 6 y z + 5)$
9149	Evaluate	1 1/2	$1 \frac{1}{2}$
9150	Find the Vertex	y=-7(x-4)^2-5	$y = - 7 {(x - 4)}^{2} - 5$
9151	Find Where Undefined/Discontinuous	(5x-18)/(x-7)	$\frac{5 x - 18}{x - 7}$
9152	Multiply	128*2	$128 \cdot 2$
9153	Evaluate	i^3	$i^{3}$
9154	Find the Asymptotes	y=x/(x^2+3x+2)	$y = \frac{x}{x^{2} + 3 x + 2}$
9155	Evaluate	e^2.3	$e^{2.3}$
9156	Evaluate	p^2	$p^{2}$
9157	Find the GCF	9a^2x^2+9a^2x+9a^2	$9 a^{2} x^{2} + 9 a^{2} x + 9 a^{2}$
9158	Evaluate	square root of -3* square root of -12	$\sqrt{- 3} \cdot \sqrt{- 12}$
9159	Evaluate	square root of 21* square root of 3	$\sqrt{21} \cdot \sqrt{3}$
9160	Find the Inverse	y=e^(2x-9)	$y = e^{2 x - 9}$
9161	Evaluate	45^2	$45^{2}$
9162	Find the Center and Radius	x^2+(y-4)^2=25	$x^{2} + {(y - 4)}^{2} = 25$
9163	Evaluate	5/12-2/9	$\frac{5}{12} - \frac{2}{9}$
9164	Evaluate	-49^(1/2)	$- 49^{\frac{1}{2}}$
9165	Add	(9a^2+8ab-7b^2)+(6a^2-5ab-4b^2)	$(9 a^{2} + 8 a b - 7 b^{2}) + (6 a^{2} - 5 a b - 4 b^{2})$
9166	Add	(x^4-2x^2y-7)+(7x^4+6xy-3)	$(x^{4} - 2 x^{2} y - 7) + (7 x^{4} + 6 x y - 3)$
9167	Evaluate	9^(2/3)	$9^{\frac{2}{3}}$
9168	Convert to a Decimal	1 1/2	$1 \frac{1}{2}$
9169	Evaluate	9/25	$\frac{9}{25}$
9170	Convert to Scientific Notation	0.0805	$0.0805$
9171	Expand Using the Binomial Theorem	(r-t)^4	${(r - t)}^{4}$
9172	Expand Using the Binomial Theorem	(5x-2y)^3	${(5 x - 2 y)}^{3}$
9173	Evaluate	2-(-4)	$2 - (- 4)$
9174	Find the Discriminant	-4x^2+10x-8	$- 4 x^{2} + 10 x - 8$
9175	Evaluate	15*6	$15 \cdot 6$
9176	Evaluate	15*8	$15 \cdot 8$
9177	Convert to a Simplified Fraction	10%	$10 %$
9178	Convert to a Decimal	3/20	$\frac{3}{20}$
9179	Convert to a Decimal	3/7	$\frac{3}{7}$
9180	Find the x and y Intercepts	2y=6x+4	$2 y = 6 x + 4$
9181	Write in Standard Form	(2x+7)(x-1)=0	$(2 x + 7) (x - 1) = 0$
9182	Find the Slope	2y=6x+4	$2 y = 6 x + 4$
9183	Write as a Single Logarithm	7 log of 2+ log of 3	$7 \log (2) + \log (3)$
9184	Evaluate	sin(60)	$\sin (60)$
9185	Evaluate	64*2	$64 \cdot 2$
9186	Find the Vertex	y=2x^2-1	$y = 2 x^{2} - 1$
9187	Convert to a Decimal	-19/50	$\frac{- 19}{50}$
9188	Subtract	(-4x^4+6x^2+3)-(5x^2-3)	$(- 4 x^{4} + 6 x^{2} + 3) - (5 x^{2} - 3)$
9189	Convert to Logarithmic Form	7^-1=1/7	$7^{- 1} = \frac{1}{7}$
9190	Find the Domain and Range	F(X) = square root of X-1	$F (X) = \sqrt{X - 1}$
9191	Find the Asymptotes	r(x)=(x^3-2x^2+3)/(x-2)	$r (x) = \frac{x^{3} - 2 x^{2} + 3}{x - 2}$
9192	Find the Inverse	y = log base 2 of x+7	$y = \log_{2} (x + 7)$
9193	Expand Using the Binomial Theorem	(2x-1)^4	${(2 x - 1)}^{4}$
9194	Find the Inverse	y=3x^5-4	$y = 3 x^{5} - 4$
9195	Expand Using the Binomial Theorem	(2x-5y)^2	${(2 x - 5 y)}^{2}$
9196	Find the Vertex	f(x)=3(x-1)^2+5	$f (x) = 3 {(x - 1)}^{2} + 5$
9197	Divide Using Synthetic Division	(4x^3-3x^2+5x+6)÷(x+6)	$(4 x^{3} - 3 x^{2} + 5 x + 6) \div (x + 6)$
9198	Convert to Interval Notation	x^2+2x<15	$x^{2} + 2 x < 15$
9199	Expand Using the Binomial Theorem	(y-4)^2	${(y - 4)}^{2}$
9200	Find the Inverse	f(x)=x/8-7	$f (x) = \frac{x}{8} - 7$