Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102901	Expand the Logarithmic Expression	log base 2 of 40	$\log_{2} (40)$
102902	Find f(g(x))	f(x)=x^3-13 , g(x)=x	$f (x) = x^{3} - 13$ , $g (x) = x$
102903	Expand the Logarithmic Expression	log base 4 of (xy)/3	$\log_{4} (\frac{x y}{3})$
102904	Expand the Logarithmic Expression	log base 4 of 17	$\log_{4} (17)$
102905	Find f(g(x))	f(x)=4x-1 g(x)=3x^3-1	$f (x) = 4 x - 1$ $g (x) = 3 x^{3} - 1$
102906	Expand the Logarithmic Expression	log base 5 of 2 square root of x	$\log_{5} (2 \sqrt{x})$
102907	Find f(g(x))	f(x)=x+4 g(x)=3x+2	$f (x) = x + 4$ $g (x) = 3 x + 2$
102908	Expand the Logarithmic Expression	log base 5 of 5^(x-5)	$\log_{5} (5^{x - 5})$
102909	Find f(g(x))	f(x)=7x+7 , g(x)=6x^2	$f (x) = 7 x + 7$ , $g (x) = 6 x^{2}$
102910	Find f(g(x))	f(x)=6/(x-3) , g(x)=6/x+3	$f (x) = \frac{6}{x - 3}$ , $g (x) = \frac{6}{x} + 3$
102911	Expand the Logarithmic Expression	log base 6 of 21	$\log_{6} (21)$
102912	Expand the Logarithmic Expression	log base 6 of 1/216	$\log_{6} (\frac{1}{216})$
102913	Find f(g(x))	f(x)=6x-3 g(x)=1/6(x+3)	$f (x) = 6 x - 3$ $g (x) = \frac{1}{6} (x + 3)$
102914	Expand the Logarithmic Expression	log base 5 of 20	$\log_{5} (20)$
102915	Find f(g(x))	f(x)=x+25 , g(x)=x-25	$f (x) = x + 25$ , $g (x) = x - 25$
102916	Expand the Logarithmic Expression	log base b of z^6y	$\log_{b} (z^{6} y)$
102917	Expand the Logarithmic Expression	log base b of z^5x	$\log_{b} (z^{5} x)$
102918	Expand the Logarithmic Expression	log base b of y^3x	$\log_{b} (y^{3} x)$
102919	Expand the Logarithmic Expression	log base b of 15	$\log_{b} (15)$
102920	Find f(g(x))	f(x)=x^2+4 , g(x)=x^2-4	$f (x) = x^{2} + 4$ , $g (x) = x^{2} - 4$
102921	Expand the Logarithmic Expression	log base b of x^7z	$\log_{b} (x^{7} z)$
102922	Find f(g(x))	f(x)=x^3-7x^2+2x+11 , g(x)=x+1	$f (x) = x^{3} - 7 x^{2} + 2 x + 11$ , $g (x) = x + 1$
102923	Expand the Logarithmic Expression	log base 9 of 9/x	$\log_{9} (\frac{9}{x})$
102924	Expand the Logarithmic Expression	log base 8 of square root of k	$\log_{8} (\sqrt{k})$
102925	Expand the Logarithmic Expression	log base a of m^r	$\log_{a} (m^{r})$
102926	Subtract	(3x)/(3x^2+10x-8)-(9x)/(5x^2+11x-36)	$\frac{3 x}{3 x^{2} + 10 x - 8} - \frac{9 x}{5 x^{2} + 11 x - 36}$
102927	Solve for w	6-9w=24	$6 - 9 w = 24$
102928	Simplify/Condense	log base 2 of 4+3 log base 2 of 9	$\log_{2} (4) + 3 \log_{2} (9)$
102929	Solve for x	x/-5=15	$\frac{x}{- 5} = 15$
102930	Simplify/Condense	log base 4 of x^2-25-6 log base 4 of x+5	$\log_{4} (x^{2} - 25) - 6 \log_{4} (x + 5)$
102931	Find f(g(x))	f(x)=x^3 g(x)=x^2+3x-7	$f (x) = x^{3}$ $g (x) = x^{2} + 3 x - 7$
102932	Simplify/Condense	log base 6 of 5+ log base 6 of x	$\log_{6} (5) + \log_{6} (x)$
102933	Solve for x	-10x+1+7x=37	$- 10 x + 1 + 7 x = 37$
102934	Simplify/Condense	1/2* natural log of x- natural log of y	$\frac{1}{2} \cdot \ln (x) - \ln (y)$
102935	Simplify/Condense	1/5* natural log of x+ natural log of y	$\frac{1}{5} \cdot \ln (x) + \ln (y)$
102936	Solve for z	12=(2+z)/-6	$12 = \frac{2 + z}{- 6}$
102937	Find f(g(x))	f(x)=4x-1 , g(x)=x^2+7	$f (x) = 4 x - 1$ , $g (x) = x^{2} + 7$
102938	Solve for x	log base 4 of 3x+4=2	$\log_{4} (3 x + 4) = 2$
102939	Simplify	(x^2+9x+20)/(x+7)	$\frac{x^{2} + 9 x + 20}{x + 7}$
102940	Find f(g(x))	f(x)=2x-3 , g(x)=(x+2)/3	$f (x) = 2 x - 3$ , $g (x) = \frac{x + 2}{3}$
102941	Simplify/Condense	log of 10000- log of 100	$\log (10000) - \log (100)$
102942	Simplify	(24x^9)/(48x^5)	$\frac{24 x^{9}}{48 x^{5}}$
102943	Simplify/Condense	2( log base 3 of 20- log base 3 of 4)+0.5 log base 3 of 4	$2 (\log_{3} (20) - \log_{3} (4)) + 0.5 \log_{3} (4)$
102944	Find f(g(x))	f(x)=3x-2 , g(x)=9/(x+2)	$f (x) = 3 x - 2$ , $g (x) = \frac{9}{x + 2}$
102945	Simplify/Condense	5 log base 2 of k-8 log base 2 of m+10 log base 2 of n	$5 \log_{2} (k) - 8 \log_{2} (m) + 10 \log_{2} (n)$
102946	Simplify/Condense	3 natural log of x-2 natural log of y	$3 \ln (x) - 2 \ln (y)$
102947	Simplify/Condense	3 natural log of 3+ natural log of 9	$3 \ln (3) + \ln (9)$
102948	Simplify/Condense	3 natural log of x-1/3* natural log of y	$3 \ln (x) - \frac{1}{3} \cdot \ln (y)$
102949	Find f(g(x))	f(x)=6x+1 , g(x)=8x+7	$f (x) = 6 x + 1$ , $g (x) = 8 x + 7$
102950	Find f(g(x))	f(x)=6x-2 , g(x)=(x+2)/6	$f (x) = 6 x - 2$ , $g (x) = \frac{x + 2}{6}$
102951	Simplify/Condense	3 natural log of x+5 natural log of y	$3 \ln (x) + 5 \ln (y)$
102952	Find f(g(x))	f(x)=4x-9 , g(x)=x+8	$f (x) = 4 x - 9$ , $g (x) = x + 8$
102953	Simplify/Condense	log base 15 of 3+ log base 15 of 5	$\log_{15} (3) + \log_{15} (5)$
102954	Simplify/Condense	log base 125 of 5	$\log_{125} (5)$
102955	Find f(g(x))	f(x) = square root of x ; g(x)=3x-5	$f (x) = \sqrt{x}$ ; $g (x) = 3 x - 5$
102956	Simplify/Condense	log base 2 of square root of 2	$\log_{2} (\sqrt{2})$
102957	Find f(g(x))	f(x)=(5x-4)/3 , g(x)=1/x	$f (x) = \frac{5 x - 4}{3}$ , $g (x) = \frac{1}{x}$
102958	Simplify/Condense	log base 2 of 10	$\log_{2} (10)$
102959	Simplify/Condense	log base 2 of 32- log base 2 of 4	$\log_{2} (32) - \log_{2} (4)$
102960	Find f(g(x))	f(x)=x/(2+x) g(x)=(5x)/(1-x)	$f (x) = \frac{x}{2 + x}$ $g (x) = \frac{5 x}{1 - x}$
102961	Simplify/Condense	log of x+2+ log of x-2	$\log (x + 2) + \log (x - 2)$
102962	Simplify/Condense	log base 3 of 12	$\log_{3} (12)$
102963	Simplify/Condense	log base 3 of 100- log base 3 of 18- log base 3 of 50	$\log_{3} (100) - \log_{3} (18) - \log_{3} (50)$
102964	Simplify/Condense	log base 3 of 15- log base 3 of 5	$\log_{3} (15) - \log_{3} (5)$
102965	Find f(g(x))	f(x)=7x+5 ; g(x)=x^2	$f (x) = 7 x + 5$ ; $g (x) = x^{2}$
102966	Simplify/Condense	log base 2 of 80- log base 2 of 10	$\log_{2} (80) - \log_{2} (10)$
102967	Simplify/Condense	log base 3 of 21	$\log_{3} (21)$
102968	Find f(g(x))	f(x)=(11+x)/(11-x) , g(x)=(11x)/(11-x)	$f (x) = \frac{11 + x}{11 - x}$ , $g (x) = \frac{11 x}{11 - x}$
102969	Simplify/Condense	log base 3 of 243	$\log_{3} (243)$
102970	Simplify/Condense	log base 3 of 36- log base 3 of 4	$\log_{3} (36) - \log_{3} (4)$
102971	Simplify/Condense	log base 8 of 16	$\log_{8} (16)$
102972	Simplify/Condense	log base 8 of square root of 8	$\log_{8} (\sqrt{8})$
102973	Simplify/Condense	log base 6 of 72- log base 6 of 2	$\log_{6} (72) - \log_{6} (2)$
102974	Find f(g(x))	f(x)=4x-12 , g(x)=x/4+3	$f (x) = 4 x - 12$ , $g (x) = \frac{x}{4} + 3$
102975	Simplify/Condense	log base 9 of 10- log base 9 of 1/2- log base 9 of 4	$\log_{9} (10) - \log_{9} (\frac{1}{2}) - \log_{9} (4)$
102976	Simplify/Condense	log base 8 of 6+2 log base 8 of 3	$\log_{8} (6) + 2 \log_{8} (3)$
102977	Simplify/Condense	log base 8 of 64	$\log_{8} (64)$
102978	Find f(g(x))	f(x)=x^2-1 g(x)=x+2	$f (x) = x^{2} - 1$ $g (x) = x + 2$
102979	Simplify/Condense	log base 81 of 3	$\log_{81} (3)$
102980	Find f(g(x))	f(x)=6-3x , g(x)=-8x^2+3	$f (x) = 6 - 3 x$ , $g (x) = - 8 x^{2} + 3$
102981	Find f(g(x))	f(x)=4/(x-9) g(x)=3/x	$f (x) = \frac{4}{x - 9}$ $g (x) = \frac{3}{x}$
102982	Simplify/Condense	log base 4 of 16- log base 4 of 4	$\log_{4} (16) - \log_{4} (4)$
102983	Simplify/Condense	log base 4 of 36- log base 4 of 9	$\log_{4} (36) - \log_{4} (9)$
102984	Simplify/Condense	log base 6 of 12- log base 6 of 2	$\log_{6} (12) - \log_{6} (2)$
102985	Find f(g(x))	f(x)=4 , g(x)=0.01	$f (x) = 4$ , $g (x) = 0.01$
102986	Simplify/Condense	log base 6 of 30- log base 6 of 5	$\log_{6} (30) - \log_{6} (5)$
102987	Find f(g(x))	f(x)=3x-4 , g(x)=x^2-2	$f (x) = 3 x - 4$ , $g (x) = x^{2} - 2$
102988	Simplify/Condense	log base 5 of 375- log base 5 of 3	$\log_{5} (375) - \log_{5} (3)$
102989	Simplify/Condense	log base 5 of 125+ log base 5 of 125	$\log_{5} (125) + \log_{5} (125)$
102990	Find f(g(x))	f(x)=3 square root of x-4 , g(x)=1/9x^2+4	$f (x) = 3 \sqrt{x - 4}$ , $g (x) = \frac{1}{9} x^{2} + 4$
102991	Find the Quadrant	(-5,6)	$(- 5, 6)$
102992	Find f(g(x))	f(x)=6x^2+6 , g(x)=5x-1	$f (x) = 6 x^{2} + 6$ , $g (x) = 5 x - 1$
102993	Simplify	5 square root of 8- square root of 18-2 square root of 2	$5 \sqrt{8} - \sqrt{18} - 2 \sqrt{2}$
102994	Simplify	-4x-x	$- 4 x - x$
102995	Divide	(x^3-x^2-17x-15)÷(x-5)	$(x^{3} - x^{2} - 17 x - 15) \div (x - 5)$
102996	Find the Asymptotes	f(x)=b^x	$f (x) = b^{x}$
102997	Convert to Interval Notation	x>=-8	$x \geq - 8$
102998	Find f(g(x))	f(x)=1/(23x-1) , g(x)=1/(x^2)	$f (x) = \frac{1}{23 x - 1}$ , $g (x) = \frac{1}{x^{2}}$
102999	Find f(g(x))	f(x)=1/(x-7) , g(x)=4/x+7	$f (x) = \frac{1}{x - 7}$ , $g (x) = \frac{4}{x} + 7$
103000	Find the Quadrant	(-5,2)	$(- 5, 2)$