Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
8301	Write as a Single Logarithm	2( log base 3 of 8+ log base 3 of z)- log base 3 of 3^4-7^2	$2 (\log_{3} (8) + \log_{3} (z)) - \log_{3} (3^{4} - 7^{2})$
8302	Find the Directrix	1/4(y+3)=(x-2)^2	$\frac{1}{4} (y + 3) = {(x - 2)}^{2}$
8303	Simplify	square root of 72x- square root of 18x	$\sqrt{72 x} - \sqrt{18 x}$
8304	Find the x and y Intercepts	2x+5y=-6	$2 x + 5 y = - 6$
8305	Simplify	square root of 7x^3* square root of 14x	$\sqrt{7 x^{3}} \cdot \sqrt{14 x}$
8306	Simplify	fifth root of 13^3	$\sqrt[5]{13^{3}}$
8307	Find the Slope and y-intercept	2y=6x+4	$2 y = 6 x + 4$
8308	Graph	f(x)=3 square root of x+1	$f (x) = 3 \sqrt{x + 1}$
8309	Simplify	6/i	$\frac{6}{i}$
8310	Simplify	6x^-3	$6 x^{- 3}$
8311	Simplify	3x^0	$3 x^{0}$
8312	Find the x and y Intercepts	y=5x-13	$y = 5 x - 13$
8313	Solve for x	4-3(1-x)<=3	$4 - 3 (1 - x) \leq 3$
8314	Solve for x	-1-6x-6>-11-7x	$- 1 - 6 x - 6 > - 11 - 7 x$
8315	Simplify	(1-x^2)/x	$\frac{1 - x^{2}}{x}$
8316	Simplify	(7-(x^2-3))/3	$\frac{7 - (x^{2} - 3)}{3}$
8317	Add	9+(x-3)/(x+2)	$9 + \frac{x - 3}{x + 2}$
8318	Simplify	square root of 32x^3	$\sqrt{32 x^{3}}$
8319	Solve Using the Quadratic Formula	4x^2+3x-1=0	$4 x^{2} + 3 x - 1 = 0$
8320	Simplify	square root of 16x^10	$\sqrt{16 x^{10}}$
8321	Write in Exponential Form	log base 5 of 1/25=-2	$\log_{5} (\frac{1}{25}) = - 2$
8322	Find the Prime Factorization	50	$50$
8323	Simplify	square root of 100x^5	$\sqrt{100 x^{5}}$
8324	Graph	f(x)=8x^2+16x+3	$f (x) = 8 x^{2} + 16 x + 3$
8325	Divide	(-7x+x^2+15)÷(-3+x)	$(- 7 x + x^{2} + 15) \div (- 3 + x)$
8326	Write in Exponential Form	log base 3 of 1=0	$\log_{3} (1) = 0$
8327	Simplify	((9x^2-y^2)/(xy))/(3/y-1/x)	$\frac{\frac{9 x^{2} - y^{2}}{x y}}{\frac{3}{y} - \frac{1}{x}}$
8328	Multiply	(x-7)^2	${(x - 7)}^{2}$
8329	Solve for y	y=-1	$y = - 1$
8330	Find the Slope and y-intercept	3y=9x+6	$3 y = 9 x + 6$
8331	Divide	(x^2-16)/(x-4)	$\frac{x^{2} - 16}{x - 4}$
8332	Divide	(m^4)/(2m^4)	$\frac{m^{4}}{2 m^{4}}$
8333	Write as a Single Logarithm	3 natural log of x-2 natural log of c	$3 \ln (x) - 2 \ln (c)$
8334	Simplify	cube root of 56x^5y	$\sqrt[3]{56 x^{5} y}$
8335	Simplify	cube root of 54x^8	$\sqrt[3]{54 x^{8}}$
8336	Simplify	cube root of 4	$\sqrt[3]{4}$
8337	Multiply	(k+3)/(4k-2)*(12k^2+2k-4)	$\frac{k + 3}{4 k - 2} \cdot (12 k^{2} + 2 k - 4)$
8338	Simplify	square root of 144y^2	$\sqrt{144 y^{2}}$
8339	Simplify	cube root of 162	$\sqrt[3]{162}$
8340	Simplify	square root of 81x^7	$\sqrt{81 x^{7}}$
8341	Simplify	square root of -72	$\sqrt{- 72}$
8342	Determine if Rational	square root of 49	$\sqrt{49}$
8343	Divide	((10p^3q^3)/(2p^2q))÷((5pq)/(6pq^2))	$\frac{10 p^{3} q^{3}}{2 p^{2} q} \div \frac{5 p q}{6 p q^{2}}$
8344	Simplify	fourth root of -256	$\sqrt[4]{- 256}$
8345	Write with Rational (Fractional) Exponents	cube root of x^5y	$\sqrt[3]{x^{5} y}$
8346	Simplify	cube root of -8x^4	$\sqrt[3]{- 8 x^{4}}$
8347	Divide	(25x^2-40x+18)÷(5x-3)	$(25 x^{2} - 40 x + 18) \div (5 x - 3)$
8348	Simplify	-3 square root of 24a^4b^2c^3	$- 3 \sqrt{24 a^{4} b^{2} c^{3}}$
8349	Write as a Single Logarithm	log base 5 of 4*7+ log base 5 of 2	$\log_{5} (4 \cdot 7) + \log_{5} (2)$
8350	Solve by Factoring	x^2-3x-18=0	$x^{2} - 3 x - 18 = 0$
8351	Write as a Single Logarithm	log base 7 of 50- log base 7 of 5	$\log_{7} (50) - \log_{7} (5)$
8352	Solve by Factoring	square root of 4x-17=1	$\sqrt{4 x - 17} = 1$
8353	Solve by Factoring	x^4-8x^2-9=0	$x^{4} - 8 x^{2} - 9 = 0$
8354	Solve by Factoring	2x^2-x-3=0	$2 x^{2} - x - 3 = 0$
8355	Solve Using the Quadratic Formula	5y^2-8y=2	$5 y^{2} - 8 y = 2$
8356	Solve by Factoring	2x^4-50x^2=0	$2 x^{4} - 50 x^{2} = 0$
8357	Divide	(8m^7-10m^5)÷2m^3	$(8 m^{7} - 10 m^{5}) \div 2 m^{3}$
8358	Solve by Completing the Square	x^2+6x-3=0	$x^{2} + 6 x - 3 = 0$
8359	Divide	72/2	$\frac{72}{2}$
8360	Solve for x	x^y=p	$x^{y} = p$
8361	Find the Slope and y-intercept	y=-6x	$y = - 6 x$
8362	Solve by Factoring	x+8/x=-9	$x + \frac{8}{x} = - 9$
8363	Solve by Factoring	4 square root of x-1=3	$4 \sqrt{x} - 1 = 3$
8364	Find the x and y Intercepts	3x-4y=24	$3 x - 4 y = 24$
8365	Find the x and y Intercepts	5x+6y=30	$5 x + 6 y = 30$
8366	Add	a/(a+3)+(a+5)/4	$\frac{a}{a + 3} + \frac{a + 5}{4}$
8367	Write in Slope-Intercept Form	x-y=4	$x - y = 4$
8368	Divide	(x^3-20x+16)÷(x-4)	$(x^{3} - 20 x + 16) \div (x - 4)$
8369	Calculate the Square Root	square root of 106	$\sqrt{106}$
8370	Calculate the Square Root	square root of 8100	$\sqrt{8100}$
8371	Calculate the Square Root	square root of 46	$\sqrt{46}$
8372	Solve Using the Quadratic Formula	x(x-3)=0	$x (x - 3) = 0$
8373	Convert to Radical Form	x^(1/8)	$x^{\frac{1}{8}}$
8374	Solve Using the Quadratic Formula	4x^2+16x=0	$4 x^{2} + 16 x = 0$
8375	Write in Exponential Form	log of 1000=3	$\log (1000) = 3$
8376	Solve Using the Quadratic Formula	4x^2-9x+2=0	$4 x^{2} - 9 x + 2 = 0$
8377	Solve Using the Quadratic Formula	5x^2=2x+4	$5 x^{2} = 2 x + 4$
8378	Solve Using the Quadratic Formula	5x^2-14x-3=0	$5 x^{2} - 14 x - 3 = 0$
8379	Divide	(-4x^3+35x+25)÷(-2x-5)	$(- 4 x^{3} + 35 x + 25) \div (- 2 x - 5)$
8380	Solve Using the Quadratic Formula	9x^2=10x+2	$9 x^{2} = 10 x + 2$
8381	Solve Using the Quadratic Formula	7r^2-14r=-7	$7 r^{2} - 14 r = - 7$
8382	Solve Using the Quadratic Formula	6x^2+13x-5=0	$6 x^{2} + 13 x - 5 = 0$
8383	Solve Using the Quadratic Formula	x^2+5x-50=0	$x^{2} + 5 x - 50 = 0$
8384	Solve Using the Quadratic Formula	x^2-10x+61=0	$x^{2} - 10 x + 61 = 0$
8385	Solve Using the Quadratic Formula	x^2=-3x+40	$x^{2} = - 3 x + 40$
8386	Solve Using the Quadratic Formula	x^2-6x-9=0	$x^{2} - 6 x - 9 = 0$
8387	Find the x and y Intercepts	y=-3x+12	$y = - 3 x + 12$
8388	Solve Using the Quadratic Formula	x^2-x=56	$x^{2} - x = 56$
8389	Divide	((x^2-4)/(x-8))÷(x-2)	$\frac{x^{2} - 4}{x - 8} \div (x - 2)$
8390	Solve Using the Quadratic Formula	x^2-6x+45=0	$x^{2} - 6 x + 45 = 0$
8391	Divide	((4p^3q)/(6p^2q^2))÷((12pq^3)/(2p^2q^2))	$\frac{4 p^{3} q}{6 p^{2} q^{2}} \div \frac{12 p q^{3}}{2 p^{2} q^{2}}$
8392	Solve Using the Quadratic Formula	x^2-5x=6	$x^{2} - 5 x = 6$
8393	Solve Using the Quadratic Formula	16x^2+8x+1=0	$16 x^{2} + 8 x + 1 = 0$
8394	Find the x and y Intercepts	y=x^2+3x-10	$y = x^{2} + 3 x - 10$
8395	Write in Standard Form	(2/3+6i)+(5/2i)	$(\frac{2}{3} + 6 i) + (\frac{5}{2} i)$
8396	Find the x and y Intercepts	y=-5x	$y = - 5 x$
8397	Solve Using the Quadratic Formula	r^2+3r-6=0	$r^{2} + 3 r - 6 = 0$
8398	Solve Using the Quadratic Formula	n^2-10n+22=-2	$n^{2} - 10 n + 22 = - 2$
8399	Find the Exact Value	cube root of 1000	$\sqrt[3]{1000}$
8400	Solve Using the Quadratic Formula	b^2-4b-14=-2	$b^{2} - 4 b - 14 = - 2$