Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15501	Evaluate	log base 7 of 1/3	$\log_{7} (\frac{1}{3})$
15502	Evaluate	log base 7 of 2^3+ log base 7 of 4	$\log_{7} (2^{3}) + \log_{7} (4)$
15503	Evaluate	log base 7 of -1	$\log_{7} (- 1)$
15504	Evaluate	log base 7 of 0.019	$\log_{7} (0.019)$
15505	Evaluate	log base 7 of 0.9	$\log_{7} (0.9)$
15506	Evaluate	log base 7 of 0	$\log_{7} (0)$
15507	Evaluate	log base 7 of 0.2	$\log_{7} (0.2)$
15508	Evaluate	log base 7 of 100	$\log_{7} (100)$
15509	Evaluate	log base 7 of 136	$\log_{7} (136)$
15510	Evaluate	log base 7 of square root of x- log base 7 of (x)^3	$\log_{7} (\sqrt{x}) - \log_{7} ({(x)}^{3})$
15511	Evaluate	log base 7 of 7^-0.89	$\log_{7} (7^{- 0.89})$
15512	Evaluate	log base 7 of 7^10	$\log_{7} (7^{10})$
15513	Evaluate	log base 7 of 7^19	$\log_{7} (7^{19})$
15514	Evaluate	log base 7 of 7^40	$\log_{7} (7^{40})$
15515	Evaluate	log base 8 of 174	$\log_{8} (174)$
15516	Evaluate	log base 8 of 16- log base 8 of 2	$\log_{8} (16) - \log_{8} (2)$
15517	Evaluate	log base 8 of x^4	$\log_{8} (x^{4})$
15518	Evaluate	log base 8 of 1/16	$\log_{8} (\frac{1}{16})$
15519	Evaluate	log base 8 of 7* log base 8 of 9	$\log_{8} (7) \cdot \log_{8} (9)$
15520	Evaluate	log base 9 of (9^6)/27	$\log_{9} (\frac{9^{6}}{27})$
15521	Evaluate	log base 7 of 2* log base 2 of 343	$\log_{7} (2) \cdot \log_{2} (343)$
15522	Evaluate	log base 7 of 2.61	$\log_{7} (2.61)$
15523	Evaluate	log base 7 of 36	$\log_{7} (36)$
15524	Evaluate	log base 7 of 3 log base 3 of 8	$\log_{7} (3) \log_{3} (8)$
15525	Evaluate	log base 7 of 546	$\log_{7} (546)$
15526	Evaluate	log base 7 of 7 square root of 7	$\log_{7} (7 \sqrt{7})$
15527	Evaluate	log base 7 of 49x	$\log_{7} (49 x)$
15528	Evaluate	log base 7 of 44	$\log_{7} (44)$
15529	Evaluate	log base 8 of 1/( fifth root of 64)	$\log_{8} (\frac{1}{\sqrt[5]{64}})$
15530	Evaluate	log base 8 of 2^-4	$\log_{8} (2^{- 4})$
15531	Evaluate	log base 6 of 27.5	$\log_{6} (27.5)$
15532	Evaluate	log base 7 of x square root of y	$\log_{7} (x \sqrt{y})$
15533	Evaluate	log of log of 100^(500x)	$\log (\log (100^{500 x}))$
15534	Expand the Logarithmic Expression	log base 2 of 12-5x	$\log_{2} (12 - 5 x)$
15535	Solve for x	1/(x+4)-1/(x+5)=1/2	$\frac{1}{x + 4} - \frac{1}{x + 5} = \frac{1}{2}$
15536	Find the Asymptotes	y = log of x+3-8	$y = \log (x + 3) - 8$
15537	Solve the Function Operation	f(x)=1/(x-1) , g(x)=x^2-1 , fog
15538	Expand the Logarithmic Expression	log base x of 64/625	$\log_{x} (\frac{64}{625})$
15539	Solve the Function Operation	f(x)=(2x+9)/(9x-2) , g(x)=(4x)/(9x-2) , (f*g)(x)	$f (x) = \frac{2 x + 9}{9 x - 2}$ , $g (x) = \frac{4 x}{9 x - 2}$ , $(f \cdot g) (x)$
15540	Solve the Function Operation	f(x)=7/x , g(x)=7/(x^2) , (f/g)(x)	$f (x) = \frac{7}{x}$ , $g (x) = \frac{7}{x^{2}}$ , $(\frac{f}{g}) (x)$
15541	Solve the Function Operation	f(x) = square root of x , g(x)=x-4 , (fog)(x)
15542	Solve the Function Operation	f(x)=x/(x+2) , g(x)=2/x , (ff)(x)	$f (x) = \frac{x}{x + 2}$ , $g (x) = \frac{2}{x}$ , $(f \cdot f) \cdot (x)$
15543	Expand the Logarithmic Expression	natural log of x-4	$\ln (x - 4)$
15544	Solve the Function Operation	c(x)=10000+2.5x , f(x)=4.0x , 0=x=8000	$c (x) = 10000 + 2.5 x$ , $f (x) = 4 x$ , $0 = x = 8000$
15545	Solve the Function Operation	f(x)=x^2-x-4 , g(x)=2x-6 , (f(x-h)-f(x))/h	$f (x) = x^{2} - x - 4$ , $g (x) = 2 x - 6$ , $\frac{f (x - h) - f (x)}{h}$
15546	Solve the Function Operation	f(x)=1-x^2 , g(x)=x+1 , (f-g)(0)	$f (x) = 1 - x^{2}$ , $g (x) = x + 1$ , $(f - g) (0)$
15547	Solve the Function Operation	f(x)=2x+5 , g(x)=5x-1 , (gof)(x)
15548	Solve the Function Operation	f(x)=3x^2 , g(x)=x-2/x , findf (g(2))	$f (x) = 3 x^{2}$ , $g (x) = x - \frac{2}{x}$ , findf $(g (2))$
15549	Solve the Function Operation	f(x)=8^x , g(x) = log of 7-x , f(x)g(x)	$f (x) = 8^{x}$ , $g (x) = \log (7 - x)$ , $f (x) g (x)$
15550	Solve the Function Operation	f(x)=x+5 , g(x)=2x+5 , (fg)(0)	$f (x) = x + 5$ , $g (x) = 2 x + 5$ , $(f g) (0)$
15551	Solve the Function Operation	f(x)=x+5 , g(x)=2x+5 , (fg)(x)	$f (x) = x + 5$ , $g (x) = 2 x + 5$ , $(f g) (x)$
15552	Solve the Function Operation	g(x)=2x-5 , h(x)=4x+5 , g(3)-h*3	$g (x) = 2 x - 5$ , $h (x) = 4 x + 5$ , $g (3) - h \cdot 3$
15553	Solve the Function Operation	f(x)=2-x , g(x)=3x+1 , (f+g)	$f (x) = 2 - x$ , $g (x) = 3 x + 1$ , $(f + g)$
15554	Solve the Function Operation	f(x)=2x+2 , g(x)=2-x^2 , h(x)=x/2-6/2 , (fgh)(4)	$f (x) = 2 x + 2$ , $g (x) = 2 - x^{2}$ , $h (x) = \frac{x}{2} - \frac{6}{2}$ , $(f g h) (4)$
15555	Solve the Function Operation	f(x) = square root of x-2 , g(x)=3x-2 , fog
15556	Solve the Function Operation	f(x)=x+3 , g(x)=x+5 , (fg)(x)	$f (x) = x + 3$ , $g (x) = x + 5$ , $(f g) (x)$
15557	Solve the Function Operation	(f(x+h)-f(x))/h , f(x)=2x-1	$\frac{f (x + h) - f (x)}{h}$ , $f (x) = 2 x - 1$
15558	Solve the Function Operation	f(x) = square root of 49-x^2 , g(x) = square root of x^2-4 , (f-g)(x)	$f (x) = \sqrt{49 - x^{2}}$ , $g (x) = \sqrt{x^{2} - 4}$ , $(f - g) (x)$
15559	Solve the Function Operation	f(x)=x^2-2x , f(4)	$f (x) = x^{2} - 2 x$ , $f (4)$
15560	Solve the Function Operation	f(x)=3x+2 , g(x)=2x-7 , gof
15561	Solve the Function Operation	f(x)=-x , g(x)=2x-5 , gof
15562	Solve the Function Operation	f(x)=3x^2-4 , 5(f(x+2))	$f (x) = 3 x^{2} - 4$ , $5 (f (x + 2))$
15563	Solve the Function Operation	t(x)=3x+2 , (t(t(x)))	$t (x) = 3 x + 2$ , $(t (t (x)))$
15564	Solve the Function Operation	t(x)=-x , p(x)=10x+2 , p(t(3))-t(p(3))	$t (x) = - x$ , $p (x) = 10 x + 2$ , $p (t (3)) - t (p (3))$
15565	Find the Domain	f(x) = square root of 4-x , g(x)=x^2 , fog
15566	Find the Domain	fg , f(x)=x/(x+1) , g(x)=sin(2x)	$f g$ , $f (x) = \frac{x}{x + 1}$ , $g (x) = \sin (2 x)$
15567	Find the Domain	f(x) = square root of 36-x^2 , g(x) = square root of 1+x , (f+g)(x)	$f (x) = \sqrt{36 - x^{2}}$ , $g (x) = \sqrt{1 + x}$ , $(f + g) (x)$
15568	Find the Domain	f(x)=x^2+x , g(x)=x-5 , fog+(x)
15569	Find Trig Functions Using Identities	cos(pi/2-x)=20/29 , cos(x)=21/29	$\cos (\frac{π}{2} - x) = \frac{20}{29}$ , $\cos (x) = \frac{21}{29}$
15570	Find Trig Functions Using Identities	csc(x)=2 , tan(x)=( square root of 3)/3	$\csc (x) = 2$ , $\tan (x) = \frac{\sqrt{3}}{3}$
15571	Find Trig Functions Using Identities	tan(x) = square root of 3 , cos(x)=-1/2	$\tan (x) = \sqrt{3}$ , $\cos (x) = - \frac{1}{2}$
15572	Solve Using a Matrix by Elimination	x^2+y^2=50 , xy=7	$x^{2} + y^{2} = 50$ , $x y = 7$
15573	Solve Using a Matrix by Elimination	2x+3y=2 , 4x+6y=4	$2 x + 3 y = 2$ , $4 x + 6 y = 4$
15574	Solve Using a Matrix by Elimination	2x+y=5 , x-y=1	$2 x + y = 5$ , $x - y = 1$
15575	Solve Using a Matrix by Elimination	5x-y-z=11 , 7x+5y+5z=9 , -4x-9y-9z=2	$5 x - y - z = 11$ , $7 x + 5 y + 5 z = 9$ , $- 4 x - 9 y - 9 z = 2$
15576	Solve Using a Matrix by Elimination	4x-y+3z=12 , x+4y+6z=-32 , 5x+3y+9z=20	$4 x - y + 3 z = 12$ , $x + 4 y + 6 z = - 32$ , $5 x + 3 y + 9 z = 20$
15577	Solve Using a Matrix by Elimination	x+3y-4z-w=12 , 4x+y+2z+4w=6 , -3x-y+z-3w=-10 , x-y-3z-2w=0	$x + 3 y - 4 z - w = 12$ , $4 x + y + 2 z + 4 w = 6$ , $- 3 x - y + z - 3 w = - 10$ , $x - y - 3 z - 2 w = 0$
15578	Solve Using a Matrix by Elimination	x+y+6z=3 , x+y+3z=3 , x+2y+4z=7	$x + y + 6 z = 3$ , $x + y + 3 z = 3$ , $x + 2 y + 4 z = 7$
15579	Find f(g(x))	f(x)=3x+2 , g(x)=2x^2-1	$f (x) = 3 x + 2$ , $g (x) = 2 x^{2} - 1$
15580	Find f(g(x))	f(x)=3x+5 , g(x)=6x^2	$f (x) = 3 x + 5$ , $g (x) = 6 x^{2}$
15581	Find f(g(x))	f(x)=3x-1 , g(x)=2x-x^2	$f (x) = 3 x - 1$ , $g (x) = 2 x - x^{2}$
15582	Find f(g(x))	f(x)=3x+1 , g(x)=8x-7	$f (x) = 3 x + 1$ , $g (x) = 8 x - 7$
15583	Find f(g(x))	f(x)=2x+1 , g(x)=x^2-x	$f (x) = 2 x + 1$ , $g (x) = x^{2} - x$
15584	Find f(g(x))	f(x)=2x-1 , g(x)=x+3	$f (x) = 2 x - 1$ , $g (x) = x + 3$
15585	Find f(g(x))	f(x)=4x-5 , g(x)=x-9	$f (x) = 4 x - 5$ , $g (x) = x - 9$
15586	Find f(g(x))	f(x)=4x^2-x+10 , g(x)=2x-7	$f (x) = 4 x^{2} - x + 10$ , $g (x) = 2 x - 7$
15587	Find f(g(x))	f(x)=6x+8 , g(x)=3x^2	$f (x) = 6 x + 8$ , $g (x) = 3 x^{2}$
15588	Find f(g(x))	f(x)=7-5x , g(x)=8+x^2	$f (x) = 7 - 5 x$ , $g (x) = 8 + x^{2}$
15589	Find f(g(x))	f(x)=(5x+4)/(x+6) , g(x)=(6x-4)/(5-x)	$f (x) = \frac{5 x + 4}{x + 6}$ , $g (x) = \frac{6 x - 4}{5 - x}$
15590	Find f(g(x))	f(x)=2x+3 , g(x)=4x+1	$f (x) = 2 x + 3$ , $g (x) = 4 x + 1$
15591	Solve Using an Augmented Matrix	2x+2y=13 , 12x+12y=78	$2 x + 2 y = 13$ , $12 x + 12 y = 78$
15592	Solve Using an Augmented Matrix	x+y+z=6 , x+y-z=0 , 3x+2y+z=10	$x + y + z = 6$ , $x + y - z = 0$ , $3 x + 2 y + z = 10$
15593	Solve Using an Augmented Matrix	-x-4y=-3 , 3x-8y=-9	$- x - 4 y = - 3$ , $3 x - 8 y = - 9$
15594	Solve Using an Augmented Matrix	x+y-z=3 , x-y+5z=-1 , x+2y-3z=6	$x + y - z = 3$ , $x - y + 5 z = - 1$ , $x + 2 y - 3 z = 6$
15595	Solve Using an Augmented Matrix	x-y+3z=3 , 2x+y-z=0 , 2x+3y-5z=-2	$x - y + 3 z = 3$ , $2 x + y - z = 0$ , $2 x + 3 y - 5 z = - 2$
15596	Find f(F(x))	f(x)=2x , F(x)=ax^2	$f (x) = 2 x$ , $F (x) = a x^{2}$
15597	Solve Using an Augmented Matrix	x-8=8 , 4x+3y=2	$x - 8 = 8$ , $4 x + 3 y = 2$
15598	Solve Using an Augmented Matrix	2x+3y+z=11 , x+2y+3z=8 , 3x+y+2z=10	$2 x + 3 y + z = 11$ , $x + 2 y + 3 z = 8$ , $3 x + y + 2 z = 10$
15599	Find f(g(x))	f(x)=1/(x+3) , g(x)=-2/x	$f (x) = \frac{1}{x + 3}$ , $g (x) = \frac{- 2}{x}$
15600	Find f(g(x))	f(x)=1/(x-5) , g(x)=x^2+2	$f (x) = \frac{1}{x - 5}$ , $g (x) = x^{2} + 2$