Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
103301	Expand the Logarithmic Expression	log of 5*125	$\log (5) \cdot 125$
103302	Expand the Logarithmic Expression	log of 8 fourth root of 3a^5	$\log (8 \sqrt[4]{3 a^{5}})$
103303	Expand the Logarithmic Expression	log of 6x^3yz	$\log (6 x^{3} y z)$
103304	Expand the Logarithmic Expression	log of 28.9	$\log (28.9)$
103305	Find f(g(x))	f(x)=-7x-8 , g(x)=-2x+9	$f (x) = - 7 x - 8$ , $g (x) = - 2 x + 9$
103306	Expand the Logarithmic Expression	log of 24	$\log (24)$
103307	Expand the Logarithmic Expression	log of (x^4)/y	$\log (\frac{x^{4}}{y})$
103308	Expand the Logarithmic Expression	log of (x^2)/y	$\log (\frac{x^{2}}{y})$
103309	Expand the Logarithmic Expression	log of 1/10000	$\log (\frac{1}{10000})$
103310	Expand the Logarithmic Expression	log of 10^4	$\log (10^{4})$
103311	Expand the Logarithmic Expression	log of (5a)/(4b^2)	$\log (\frac{5 a}{4 b^{2}})$
103312	Find f(g(x))	f(x)=1/(x^2-7) g(x) = square root of x+7	$f (x) = \frac{1}{x^{2} - 7}$ $g (x) = \sqrt{x + 7}$
103313	Expand the Logarithmic Expression	log of m^-3	$\log (m^{- 3})$
103314	Find f(g(x))	f(x)=9x-2 g(x)=-x+3	$f (x) = 9 x - 2$ $g (x) = - x + 3$
103315	Find f(g(x))	f(x)=x^2-9x-11 g(x)=11x-4	$f (x) = x^{2} - 9 x - 11$ $g (x) = 11 x - 4$
103316	Expand the Logarithmic Expression	log of c^-4	$\log (c^{- 4})$
103317	Expand the Logarithmic Expression	log of x/(yz)	$\log (\frac{x}{y z})$
103318	Expand the Logarithmic Expression	log of 0.00001	$\log (0.00001)$
103319	Find f(g(x))	f(x)=5x^3-2 & g(x)=2x+1 ,	$f (x) = 5 x^{3} - 2$ & $g (x) = 2 x + 1$ ,
103320	Expand the Logarithmic Expression	log of 13	$\log (13)$
103321	Expand the Logarithmic Expression	log of 1000000	$\log (1000000)$
103322	Expand the Logarithmic Expression	natural log of 22x	$\ln (22 x)$
103323	Expand the Logarithmic Expression	natural log of 10x^3y	$\ln (10 x^{3} y)$
103324	Expand the Logarithmic Expression	natural log of cube root of t	$\ln (\sqrt[3]{t})$
103325	Expand the Logarithmic Expression	natural log of cube root of e^2	$\ln (\sqrt[3]{e^{2}})$
103326	Expand the Logarithmic Expression	natural log of cube root of x/y	$\ln (\sqrt[3]{\frac{x}{y}})$
103327	Find f(g(x))	f(x) = cube root of 3x^2-1 , g(x)=3x^(2/3)+1	$f (x) = \sqrt[3]{3 x^{2} - 1}$ , $g (x) = 3 x^{\frac{2}{3}} + 1$
103328	Expand the Logarithmic Expression	natural log of fifth root of e	$\ln (\sqrt[5]{e})$
103329	Expand the Logarithmic Expression	natural log of (x^2)/y	$\ln (\frac{x^{2}}{y})$
103330	Expand the Logarithmic Expression	natural log of (e^5)/4	$\ln (\frac{e^{5}}{4})$
103331	Find f(g(x))	f(x)=5x-3 g(x)=x^2-3	$f (x) = 5 x - 3$ $g (x) = x^{2} - 3$
103332	Evaluate	4^(1/16)	$4^{\frac{1}{16}}$
103333	Find f(g(x))	f(x)=x-1 ; g(x)=5x^2	$f (x) = x - 1$ ; $g (x) = 5 x^{2}$
103334	Find f(g(x))	f(x)=x-3 , g(x)=x^3+4	$f (x) = x - 3$ , $g (x) = x^{3} + 4$
103335	Find f(g(x))	f(x)=8x-2 , g(x)=5-2x	$f (x) = 8 x - 2$ , $g (x) = 5 - 2 x$
103336	Evaluate	-4/3-2	$- \frac{4}{3} - 2$
103337	Evaluate	4/3*4	$\frac{4}{3} \cdot 4$
103338	Find f(g(x))	f(x)=7x-2 , g(x)=(x+7)/2	$f (x) = 7 x - 2$ , $g (x) = \frac{x + 7}{2}$
103339	Evaluate	4/27	$\frac{4}{27}$
103340	Find f(g(x))	f(x)=3x-7 , g(x)=4-x	$f (x) = 3 x - 7$ , $g (x) = 4 - x$
103341	Evaluate	4/21	$\frac{4}{21}$
103342	Evaluate	4/3*-3	$\frac{4}{3} \cdot - 3$
103343	Evaluate	-4/5-2/9	$- \frac{4}{5} - \frac{2}{9}$
103344	Evaluate	4/5-1/6	$\frac{4}{5} - \frac{1}{6}$
103345	Evaluate	4/5*4	$\frac{4}{5} \cdot 4$
103346	Find f(g(x))	f(x) = square root of x-1 g(x)=3x	$f (x) = \sqrt{x - 1}$ $g (x) = 3 x$
103347	Evaluate	4/5*5/6	$\frac{4}{5} \cdot \frac{5}{6}$
103348	Find f(g(x))	f(x)=2x+8 , g(x)=5x-6	$f (x) = 2 x + 8$ , $g (x) = 5 x - 6$
103349	Simplify	(-14x^3)/(x^3-5x^4)	$\frac{- 14 x^{3}}{x^{3} - 5 x^{4}}$
103350	Evaluate	4/9-1/3	$\frac{4}{9} - \frac{1}{3}$
103351	Evaluate	4/(4/3)	$\frac{4}{\frac{4}{3}}$
103352	Evaluate	360/4	$\frac{360}{4}$
103353	Find f(g(x))	f(x)=x^2+4 , g(x) = square root of x-4	$f (x) = x^{2} + 4$ , $g (x) = \sqrt{x - 4}$
103354	Evaluate	39/100	$\frac{39}{100}$
103355	Find f(g(x))	f(x)=5x+4 ; g(x)=7x-6	$f (x) = 5 x + 4$ ; $g (x) = 7 x - 6$
103356	Evaluate	37/7	$\frac{37}{7}$
103357	Evaluate	375/1000	$\frac{375}{1000}$
103358	Evaluate	343^(-2/3)	$343^{- \frac{2}{3}}$
103359	Evaluate	350/100	$\frac{350}{100}$
103360	Evaluate	32^(-1/5)	$32^{\frac{- 1}{5}}$
103361	Evaluate	-32/2	$- \frac{32}{2}$
103362	Evaluate	33/10	$\frac{33}{10}$
103363	Evaluate	33/100	$\frac{33}{100}$
103364	Find f(g(x))	g(x)=y-7 , f(x)=x^3-9x^2-34x+336	$g (x) = y - 7$ , $f (x) = x^{3} - 9 x^{2} - 34 x + 336$
103365	Evaluate	330/180	$\frac{330}{180}$
103366	Evaluate	33/40	$\frac{33}{40}$
103367	Evaluate	30^2+16^2	$30^{2} + 16^{2}$
103368	Find f(g(x))	f(x)=x^2-36 g(x)=x^3+2x^2-10	$f (x) = x^{2} - 36$ $g (x) = x^{3} + 2 x^{2} - 10$
103369	Evaluate	30/80	$\frac{30}{80}$
103370	Evaluate	30/9	$\frac{30}{9}$
103371	Find f(g(x))	f(x)=5x+8 , g(x)=8-x	$f (x) = 5 x + 8$ , $g (x) = 8 - x$
103372	Evaluate	-30/6	$- \frac{30}{6}$
103373	Evaluate	300/2	$\frac{300}{2}$
103374	Find f(g(x))	f(x)=4x-1 ; g(x)=1/4x+1/4	$f (x) = 4 x - 1$ ; $g (x) = \frac{1}{4} x + \frac{1}{4}$
103375	Evaluate	315/1575	$\frac{315}{1575}$
103376	Evaluate	3^4*3^6	$3^{4} \cdot 3^{6}$
103377	Find f(g(x))	f(x)=2x^2-2x-3 , g(x)=x+5	$f (x) = 2 x^{2} - 2 x - 3$ , $g (x) = x + 5$
103378	Evaluate	-3^4-6	$- 3^{4} - 6$
103379	Find f(g(x))	f(x)=x^3-7x^2+3x+12 , g(x)=x+1	$f (x) = x^{3} - 7 x^{2} + 3 x + 12$ , $g (x) = x + 1$
103380	Evaluate	3/7+5/14	$\frac{3}{7} + \frac{5}{14}$
103381	Find f(g(x))	f(x)=3-x g(x)=2x^2+x+5	$f (x) = 3 - x$ $g (x) = 2 x^{2} + x + 5$
103382	Find f(g(x))	f(x)=5x-5 , g(x)=x^2-1	$f (x) = 5 x - 5$ , $g (x) = x^{2} - 1$
103383	Evaluate	3/52	$\frac{3}{52}$
103384	Evaluate	3/54	$\frac{3}{54}$
103385	Evaluate	3/5*5/3	$\frac{3}{5} \cdot \frac{5}{3}$
103386	Evaluate	3/5+1/10	$\frac{3}{5} + \frac{1}{10}$
103387	Find f(g(x))	f(x)=6x-7 , g(x)=x-6	$f (x) = 6 x - 7$ , $g (x) = x - 6$
103388	Evaluate	3/2-2/3	$\frac{3}{2} - \frac{2}{3}$
103389	Evaluate	3/10-(-7/3)	$\frac{3}{10} - (- \frac{7}{3})$
103390	Evaluate	3/11-5/7	$\frac{3}{11} - \frac{5}{7}$
103391	Find f(g(x))	f(x)=x^2-9 , g(x)=4x^2-9	$f (x) = x^{2} - 9$ , $g (x) = 4 x^{2} - 9$
103392	Find f(g(x))	f(x)=7x , g(x)=3x+1	$f (x) = 7 x$ , $g (x) = 3 x + 1$
103393	Evaluate	3/416/217/10	$\frac{3}{4} \cdot \frac{16}{21} \cdot \frac{7}{10}$
103394	Find f(g(x))	f(x)=-3x-3 , g(x)=-3x^3-2	$f (x) = - 3 x - 3$ , $g (x) = - 3 x^{3} - 2$
103395	Evaluate	(3(-5^2)-5)/(4(-5)+10)	$\frac{3 (- 5^{2}) - 5}{4 (- 5) + 10}$
103396	Evaluate	3/(3/2)	$\frac{3}{\frac{3}{2}}$
103397	Evaluate	3/(9/7)	$\frac{3}{\frac{9}{7}}$
103398	Find f(g(x))	f(x)=3x+2 , g(x)=2x-3	$f (x) = 3 x + 2$ , $g (x) = 2 x - 3$
103399	Evaluate	234/39	$\frac{234}{39}$
103400	Find f(g(x))	f(x)=3x+1 g(x)=x-1	$f (x) = 3 x + 1$ $g (x) = x - 1$