Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1501	Find Amplitude, Period, and Phase Shift	y=2sin(2x-pi/2)	$y = 2 \sin (2 x - \frac{π}{2})$
1502	Find Amplitude, Period, and Phase Shift	f(x)=-4tan(2x)	$f (x) = - 4 \tan (2 x)$
1503	Find Amplitude, Period, and Phase Shift	y=3/2*cos((pix)/2)	$y = \frac{3}{2} \cdot \cos (\frac{π x}{2})$
1504	Find the Reference Angle	-(19pi)/6	$- \frac{19 π}{6}$
1505	Find the Reference Angle	(29pi)/4	$\frac{29 π}{4}$
1506	Find Amplitude, Period, and Phase Shift	y=cos(x+1)	$y = \cos (x + 1)$
1507	Find Amplitude, Period, and Phase Shift	y=cos(x-2)	$y = \cos (x - 2)$
1508	Find Amplitude, Period, and Phase Shift	y=sec(x/3)	$y = \sec (\frac{x}{3})$
1509	Find Amplitude, Period, and Phase Shift	y=6cos(2x)	$y = 6 \cos (2 x)$
1510	Find Amplitude, Period, and Phase Shift	y=6cos(pi-2x)+7	$y = 6 \cos (π - 2 x) + 7$
1511	Find Amplitude, Period, and Phase Shift	y=5sin(4X)	$y = 5 \sin (4 X)$
1512	Find Amplitude, Period, and Phase Shift	y=-5sin(3x)	$y = - 5 \sin (3 x)$
1513	Find Amplitude, Period, and Phase Shift	y=5sin(pix)	$y = 5 \sin (π x)$
1514	Evaluate	natural log of 5- square root of 6	$\ln (5 - \sqrt{6})$
1515	Evaluate	natural log of natural log of e^(e^100)	$\ln (\ln (e^{e^{100}}))$
1516	Evaluate	natural log of e^4.5	$\ln (e^{4.5})$
1517	Evaluate	log of 9/300	$\log (\frac{9}{300})$
1518	Evaluate	log of 35	$\log (35)$
1519	Evaluate	log of 4(1/64)	$\log (4) (\frac{1}{64})$
1520	Evaluate	natural log of ((x+1)^2)/((x-1)^4)	$\ln (\frac{{(x + 1)}^{2}}{{(x - 1)}^{4}})$
1521	Evaluate	natural log of 1/( square root of e^3)	$\ln (\frac{1}{\sqrt{e^{3}}})$
1522	Evaluate	natural log of 1/( square root of e^7)	$\ln (\frac{1}{\sqrt{e^{7}}})$
1523	Evaluate	2 natural log of e^5	$2 \ln (e^{5})$
1524	Evaluate	3 natural log of e^4	$3 \ln (e^{4})$
1525	Evaluate	4 natural log of e^2	$4 \ln (e^{2})$
1526	Evaluate	natural log of 1/(e^3)	$\ln (\frac{1}{e^{3}})$
1527	Evaluate	log base b of 2	$\log_{b} (2)$
1528	Evaluate	log base 9 of 0.4	$\log_{9} (0.4)$
1529	Evaluate	log base 6 of 4+ log base 6 of 9	$\log_{6} (4) + \log_{6} (9)$
1530	Evaluate	log base 6 of 18- log base 6 of 3	$\log_{6} (18) - \log_{6} (3)$
1531	Evaluate	log base 6 of 95	$\log_{6} (95)$
1532	Evaluate	log base 9 of 1/5	$\log_{9} (\frac{1}{5})$
1533	Solve Using a Matrix by Row Operations	x+y+4z=1 , 3x+2y+11z=1 , x+3z=-1	$x + y + 4 z = 1$ , $3 x + 2 y + 11 z = 1$ , $x + 3 z = - 1$
1534	Find the Determinant	[[2,-4,6],[1,4,0],[-1,2,4]]	$[\begin{array}{c} 2 & - 4 & 6 \\ 1 & 4 & 0 \\ - 1 & 2 & 4 \end{array}]$
1535	Evaluate the Summation	sum from i=1 to 8 of 7(7/10)^(i-1)	$\sum_{i = 1}^{8} 7 {(\frac{7}{10})}^{i - 1}$
1536	Evaluate the Summation	sum from i=1 to 16 of 3i+2	$\sum_{i = 1}^{16} 3 i + 2$
1537	Identify the Sequence	5 , 8 , 11 , 14	$5$ , $8$ , $11$ , $14$
1538	Identify the Sequence	8 , -16 , 32 , -64 , 128	$8$ , $- 16$ , $32$ , $- 64$ , $128$
1539	Identify the Sequence	12 , 6 , 3 , 1.5	$12$ , $6$ , $3$ , $1.5$
1540	Identify the Sequence	-1/3 , 1/6 , -1/12	$- \frac{1}{3}$ , $\frac{1}{6}$ , $- \frac{1}{12}$
1541	Evaluate the Limit	limit as x approaches 1 of 2x+1	$lim_{x \to 1} 2 x + 1$
1542	Evaluate the Summation	sum from n=2 to 7 of 2	$\sum_{n = 2}^{7} 2$
1543	Evaluate the Summation	sum from n=1 to 20 of 2n+1	$\sum_{n = 1}^{20} 2 n + 1$
1544	Evaluate the Summation	sum from k=4 to 5 of k^2-k	$\sum_{k = 4}^{5} k^{2} - k$
1545	Convert from Degrees to Radians	(7pi)/12	$\frac{7 π}{12}$
1546	Convert from Radians to Degrees	5.1	$5.1$
1547	Convert from Radians to Degrees	(29pi)/37	$\frac{29 π}{37}$
1548	Convert from Degrees to Radians	156	$156$
1549	Convert from Degrees to Radians	-255	$- 255$
1550	Find Amplitude, Period, and Phase Shift	f(x)=3cos(1/4*(pix)+pi)-2	$f (x) = 3 \cos (\frac{1}{4} \cdot (π x) + π) - 2$
1551	Simplify/Condense	natural log of a+b+ natural log of a-b-5 natural log of c	$\ln (a + b) + \ln (a - b) - 5 \ln (c)$
1552	Simplify/Condense	natural log of y+ natural log of z	$\ln (y) + \ln (z)$
1553	Simplify/Condense	log of x/100	$\log (\frac{x}{100})$
1554	Simplify/Condense	natural log of 2+ natural log of 6-1/2* natural log of 9	$\ln (2) + \ln (6) - \frac{1}{2} \cdot \ln (9)$
1555	Simplify/Condense	natural log of 2.665	$\ln (2.665)$
1556	Simplify/Condense	natural log of 3+1/3* natural log of 4-x^2- natural log of x	$\ln (3) + \frac{1}{3} \cdot \ln (4 - x^{2}) - \ln (x)$
1557	Expand the Logarithmic Expression	log base 6 of 36x	$\log_{6} (36 x)$
1558	Expand the Logarithmic Expression	log base 5 of cube root of x^2+1	$\log_{5} (\sqrt[3]{x^{2} + 1})$
1559	Expand the Logarithmic Expression	log base 2 of fourth root of 8	$\log_{2} (\sqrt[4]{8})$
1560	Expand the Logarithmic Expression	natural log of ((x^2-x-2)/((x+4)^2))^(1/3)	$\ln ({(\frac{x^{2} - x - 2}{{(x + 4)}^{2}})}^{\frac{1}{3}})$
1561	Write in Exponential Form	log base x of 6=1/2	$\log_{x} (6) = \frac{1}{2}$
1562	Expand the Logarithmic Expression	natural log of xyz^2	$\ln (x y z^{2})$
1563	Expand the Logarithmic Expression	natural log of z(z-1)^2	$\ln (z) {(z - 1)}^{2}$
1564	Expand the Logarithmic Expression	natural log of ex^3	$\ln (e x^{3})$
1565	Expand the Logarithmic Expression	natural log of cube root of 6r^5s	$\ln (\sqrt[3]{6 r^{5} s})$
1566	Expand the Logarithmic Expression	log of square root of b^7c	$\log (\sqrt{b^{7} c})$
1567	Expand the Logarithmic Expression	log base 9 of square root of 3	$\log_{9} (\sqrt{3})$
1568	Expand the Logarithmic Expression	log base a of (x^6)/(yz^7)	$\log_{a} (\frac{x^{6}}{y z^{7}})$
1569	Expand the Logarithmic Expression	natural log of 6/( square root of x^2+1)	$\ln (\frac{6}{\sqrt{x^{2} + 1}})$
1570	Expand the Logarithmic Expression	natural log of ((x+1)^2)/((x-1)^4)	$\ln (\frac{{(x + 1)}^{2}}{{(x - 1)}^{4}})$
1571	Convert to Logarithmic Form	2^x=10	$2^{x} = 10$
1572	Convert to Logarithmic Form	15^2=x	$15^{2} = x$
1573	Convert to Logarithmic Form	10^x=10000	$10^{x} = 10000$
1574	Write in Exponential Form	log base b of 8=3	$\log_{b} (8) = 3$
1575	Write in Exponential Form	log of x+ log of 8=2	$\log (x) + \log (8) = 2$
1576	Evaluate	log base 36 of 1/6	$\log_{36} (\frac{1}{6})$
1577	Evaluate	log base 36 of fifth root of 6	$\log_{36} (\sqrt[5]{6})$
1578	Evaluate	log base 4 of 1/( cube root of 16)	$\log_{4} (\frac{1}{\sqrt[3]{16}})$
1579	Evaluate	log base 3 of 0.015	$\log_{3} (0.015)$
1580	Evaluate	log base 3 of 6^3*9^6	$\log_{3} (6^{3} \cdot 9^{6})$
1581	Evaluate	log base 4 of 2+ log base 4 of 128	$\log_{4} (2) + \log_{4} (128)$
1582	Evaluate	log base 4 of cube root of 16	$\log_{4} (\sqrt[3]{16})$
1583	Evaluate	log base 4 of 125	$\log_{4} (125)$
1584	Evaluate	log base 4 of 512	$\log_{4} (512)$
1585	Evaluate	log base 5 of 47	$\log_{5} (47)$
1586	Evaluate	( log of 42)/( log of 7)	$\frac{\log (42)}{\log (7)}$
1587	Evaluate	( log of 46)/( log of p)	$\frac{\log (46)}{\log (p)}$
1588	Evaluate	log base 12 of 1/144	$\log_{12} (\frac{1}{144})$
1589	Evaluate	log base 2 of -16	$\log_{2} (- 16)$
1590	Evaluate	log base 2 of 16^23	$\log_{2} (16^{23})$
1591	Evaluate	log base 15 of 1250	$\log_{15} (1250)$
1592	Evaluate	5^( log base 5 of 25)	$5^{\log_{5} (25)}$
1593	Evaluate	5^( log base 5 of 6)	$5^{\log_{5} (6)}$
1594	Evaluate	10^( log of 87)	$10^{\log (87)}$
1595	Evaluate	log base 2 of (8)^33	$\log_{2} ({(8)}^{33})$
1596	Evaluate	9^( log base 3 of 20)	$9^{\log_{3} (20)}$
1597	Evaluate	e^( natural log of 300)	$e^{\ln (300)}$
1598	Evaluate	( natural log of 4)/( natural log of 3)	$\frac{\ln (4)}{\ln (3)}$
1599	Evaluate	( natural log of 27+ natural log of 9)/( log of 27+ log of 9)	$\frac{\ln (27) + \ln (9)}{\log (27) + \log (9)}$
1600	Convert to Rectangular Coordinates	(-4,(2pi)/3)	$(- 4, \frac{2 π}{3})$