Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
16201	Find Amplitude, Period, and Phase Shift	f(x)=3sin(4x-1/2*pi)-1	$f (x) = 3 \sin (4 x - \frac{1}{2} \cdot π) - 1$
16202	Find Amplitude, Period, and Phase Shift	f(x)=3sin(2x)+4cos(2x)	$f (x) = 3 \sin (2 x) + 4 \cos (2 x)$
16203	Find Amplitude, Period, and Phase Shift	f(x)=3sin(2x-pi/2)	$f (x) = 3 \sin (2 x - \frac{π}{2})$
16204	Find Amplitude, Period, and Phase Shift	f(x)=3sin(2x-5)	$f (x) = 3 \sin (2 x - 5)$
16205	Find Amplitude, Period, and Phase Shift	f(x)=4-3sin(x)	$f (x) = 4 - 3 \sin (x)$
16206	Find Amplitude, Period, and Phase Shift	f(x)=3sin(x-pi/3)	$f (x) = 3 \sin (x - \frac{π}{3})$
16207	Find Amplitude, Period, and Phase Shift	f(x)=3cos(3pix)	$f (x) = 3 \cos (3 π x)$
16208	Find Amplitude, Period, and Phase Shift	f(x)=2sin(x)-1	$f (x) = 2 \sin (x) - 1$
16209	Find Amplitude, Period, and Phase Shift	f(x)=3cos(3x)-1	$f (x) = 3 \cos (3 x) - 1$
16210	Find Amplitude, Period, and Phase Shift	f(x)=-3cot(x-pi/2)	$f (x) = - 3 \cot (x - \frac{π}{2})$
16211	Find Amplitude, Period, and Phase Shift	f(x)=2sin(3x-pi)+1	$f (x) = 2 \sin (3 x - π) + 1$
16212	Find Amplitude, Period, and Phase Shift	f(x)=2sin(3x)+1	$f (x) = 2 \sin (3 x) + 1$
16213	Find Amplitude, Period, and Phase Shift	f(x)=2sin(x+pi/2)	$f (x) = 2 \sin (x + \frac{π}{2})$
16214	Find Amplitude, Period, and Phase Shift	f(x)=2tan(3(x+pi/12))+4	$f (x) = 2 \tan (3 (x + \frac{π}{12})) + 4$
16215	Find Amplitude, Period, and Phase Shift	f(x)=2tan(3x-pi)+1	$f (x) = 2 \tan (3 x - π) + 1$
16216	Find Amplitude, Period, and Phase Shift	f(x)=2tan(x-pi)+1	$f (x) = 2 \tan (x - π) + 1$
16217	Simplify/Condense	natural log of A+ natural log of B	$\ln (A) + \ln (B)$
16218	Simplify/Condense	natural log of a+b+ natural log of a-b-3 natural log of c	$\ln (a + b) + \ln (a - b) - 3 \ln (c)$
16219	Simplify/Condense	natural log of a+b+ natural log of a-b-8 natural log of c	$\ln (a + b) + \ln (a - b) - 8 \ln (c)$
16220	Simplify/Condense	natural log of x-1/3* natural log of x^2-3	$\ln (x) - \frac{1}{3} \cdot \ln (x^{2} - 3)$
16221	Simplify/Condense	natural log of x-1/4* natural log of y	$\ln (x) - \frac{1}{4} \cdot \ln (y)$
16222	Simplify/Condense	natural log of x+ natural log of 2x	$\ln (x) + \ln (2 x)$
16223	Simplify/Condense	natural log of a+b+ natural log of a-b-6 natural log of c	$\ln (a + b) + \ln (a - b) - 6 \ln (c)$
16224	Simplify/Condense	natural log of e^5x^2	$\ln (e^{5} x^{2})$
16225	Simplify/Condense	natural log of natural log of e	$\ln (\ln (e))$
16226	Simplify/Condense	natural log of natural log of x	$\ln (\ln (x))$
16227	Simplify/Condense	natural log of x+x	$\ln (x) + x$
16228	Simplify/Condense	natural log of x- natural log of x+2+ natural log of 2x-3	$\ln (x) - \ln (x + 2) + \ln (2 x - 3)$
16229	Simplify/Condense	log of (x^2)/(y^3)+5 log of y-6 log of square root of xy	$\log (\frac{x^{2}}{y^{3}}) + 5 \log (y) - 6 \log (\sqrt{x y})$
16230	Simplify/Condense	- log of 0.01	$- \log (0.01)$
16231	Simplify/Condense	log of 100000	$\log (100000)$
16232	Simplify/Condense	log of 1000y	$\log (1000 y)$
16233	Simplify/Condense	log of 100x	$\log (100 x)$
16234	Simplify/Condense	log of y^2-3y+2- log of y^2-1	$\log (y^{2} - 3 y + 2) - \log (y^{2} - 1)$
16235	Simplify/Condense	log of y/100	$\log (\frac{y}{100})$
16236	Simplify/Condense	log of square root of 10/1000	$\log (\sqrt{\frac{10}{1000}})$
16237	Simplify/Condense	log of 0.0001	$\log (0.0001)$
16238	Simplify/Condense	log of 1/( square root of 100000)	$\log (\frac{1}{\sqrt{100000}})$
16239	Simplify/Condense	log of 1/4*256	$\log (\frac{1}{4}) \cdot 256$
16240	Simplify/Condense	natural log of y-3(2 natural log of y-4- natural log of y+4)	$\ln (y) - 3 (2 \ln (y - 4) - \ln (y + 4))$
16241	Simplify/Condense	log of 10^(3x)	$\log (10^{3 x})$
16242	Simplify/Condense	log of 7/3- log of 1/343	$\log (\frac{7}{3}) - \log (\frac{1}{343})$
16243	Simplify/Condense	natural log of 0.144- natural log of 0.196	$\ln (0.144) - \ln (0.196)$
16244	Simplify/Condense	6 log base b of x+3 log base b of z	$6 \log_{b} (x) + 3 \log_{b} (z)$
16245	Simplify/Condense	8 log base 2 of square root of 3x-2- log base 2 of 4/x+ log base 2 of 4	$8 \log_{2} (\sqrt{3 x - 2}) - \log_{2} (\frac{4}{x}) + \log_{2} (4)$
16246	Simplify/Condense	9 natural log of x+7-5 natural log of x	$9 \ln (x + 7) - 5 \ln (x)$
16247	Simplify/Condense	natural log of 1/2	$\ln (\frac{1}{2})$
16248	Simplify/Condense	natural log of e^(2x)	$\ln (e^{2 x})$
16249	Simplify/Condense	natural log of e^4.50- natural log of square root of e	$\ln (e^{4.5}) - \ln (\sqrt{e})$
16250	Simplify/Condense	natural log of e^(8x)	$\ln (e^{8 x})$
16251	Simplify/Condense	natural log of ( square root of 2x^(3/2))/(e^2)	$\ln (\frac{\sqrt{2} x^{\frac{3}{2}}}{e^{2}})$
16252	Simplify/Condense	natural log of ( square root of z)/(xy)	$\ln (\frac{\sqrt{z}}{x y})$
16253	Simplify/Condense	natural log of x/(x-7)+ natural log of (x+7)/x- natural log of x^2-49	$\ln (\frac{x}{x - 7}) + \ln (\frac{x + 7}{x}) - \ln (x^{2} - 49)$
16254	Simplify/Condense	natural log of x^2-9	$\ln (x^{2} - 9)$
16255	Simplify/Condense	natural log of 4x	$\ln (4 x)$
16256	Simplify/Condense	natural log of 4x+6	$\ln (4 x + 6)$
16257	Simplify/Condense	natural log of 5+2 natural log of x+3 natural log of x-1	$\ln (5) + 2 \ln (x) + 3 \ln (x - 1)$
16258	Simplify/Condense	natural log of 5+2 natural log of x+3 natural log of x^2+5	$\ln (5) + 2 \ln (x) + 3 \ln (x^{2} + 5)$
16259	Simplify/Condense	natural log of 5+ natural log of 5^2+ natural log of 5^3- natural log of 5^6	$\ln (5) + \ln (5^{2}) + \ln (5^{3}) - \ln (5^{6})$
16260	Simplify/Condense	natural log of 2x+2 natural log of x- natural log of 3y	$\ln (2 x) + 2 \ln (x) - \ln (3 y)$
16261	Simplify/Condense	natural log of 3e^2	$\ln (3 e^{2})$
16262	Simplify/Condense	natural log of 3x-4+ natural log of x+1 natural log of 4	$\ln (3 x - 4) + \ln (x + 1) \ln (4)$
16263	Simplify/Condense	log base 7 of 42	$\log_{7} (42)$
16264	Write in Standard Form	(1+3i)(5-i)	$(1 + 3 i) (5 - i)$
16265	Simplify/Condense	2 log base 7 of y+4( log base 7 of z-5 log base 7 of w)	$2 \log_{7} (y) + 4 (\log_{7} (z) - 5 \log_{7} (w))$
16266	Simplify/Condense	3 natural log of 5-1/2* natural log of x^2+4	$3 \ln (5) - \frac{1}{2} \cdot \ln (x^{2} + 4)$
16267	Simplify/Condense	log base b of b^(6x)	$\log_{b} (b^{6 x})$
16268	Graph	y=x^2+6x+14	$y = x^{2} + 6 x + 14$
16269	Simplify/Condense	log base 23 of 1	$\log_{23} (1)$
16270	Simplify/Condense	log base 0.55 of 8	$\log_{0.55} (8)$
16271	Simplify/Condense	1/5*(5 natural log of x+9- natural log of x- natural log of x^2-9)	$\frac{1}{5} \cdot (5 \ln (x + 9) - \ln (x) - \ln (x^{2} - 9))$
16272	Simplify/Condense	log of x+2 log of y- log of z	$\log (x) + 2 \log (y) - \log (z)$
16273	Simplify/Condense	log of x+ log of x^2-25- log of 7- log of x+5	$\log (x) + \log (x^{2} - 25) - \log (7) - \log (x + 5)$
16274	Simplify/Condense	log of x-2 log of x+1	$\log (x) - 2 \log (x + 1)$
16275	Simplify/Condense	log of 8x	$\log (8 x)$
16276	Simplify/Condense	log of x-2/3* log of y	$\log (x) - \frac{2}{3} \cdot \log (y)$
16277	Simplify/Condense	log of m- log of n	$\log (m) - \log (n)$
16278	Simplify/Condense	log of 8- log of 2	$\log (8) - \log (2)$
16279	Simplify/Condense	log of a+2 log of B-3 log of C	$\log (a) + 2 \log (B) - 3 \log (C)$
16280	Simplify/Condense	log of x-5 log of y+9 log of z	$\log (x - 5) \log (y + 9) \log (z)$
16281	Simplify/Condense	(e^(2 natural log of 2- natural log of 8+1))^2	${(e^{2 \ln (2) - \ln (8) + 1})}^{2}$
16282	Simplify/Condense	1/2* natural log of x^3+3 natural log of x-4	$\frac{1}{2} \cdot \ln (x^{3}) + 3 \ln (x - 4)$
16283	Simplify/Condense	log of 2A+ log of B- log of AB	$\log (2 A) + \log (B) - \log (A B)$
16284	Simplify/Condense	log of 3-3 log of x	$\log (3) - 3 \log (x)$
16285	Simplify/Condense	log of 2+ log of x	$\log (2) + \log (x)$
16286	Simplify/Condense	log of 2*32	$\log (2) \cdot 32$
16287	Simplify/Condense	log of 2*3-2 log of 2(x+1)	$\log (2) \cdot 3 - 2 \log (2) (x + 1)$
16288	Simplify/Condense	log of 8+3 log of x-2 log of x+1	$\log (8) + 3 \log (x) - 2 \log (x + 1)$
16289	Simplify/Condense	log of 56+1/2* log of 7- log of 8	$\log (56) + \frac{1}{2} \cdot \log (7) - \log (8)$
16290	Simplify/Condense	log of 4x+9- log of x	$\log (4 x + 9) - \log (x)$
16291	Simplify/Condense	log of 400+ log of 25	$\log (400) + \log (25)$
16292	Expand the Logarithmic Expression	log base 7 of 10311^6	$\log_{7} (10 \cdot 3 \cdot 11^{6})$
16293	Expand the Logarithmic Expression	log base 7 of x^5	$\log_{7} (x^{5})$
16294	Expand the Logarithmic Expression	log base 7 of eighth root of x^2+5	$\log_{7} (\sqrt[8]{x^{2} + 5})$
16295	Expand the Logarithmic Expression	log base 7 of (x-1)/4	$\log_{7} (\frac{x - 1}{4})$
16296	Expand the Logarithmic Expression	log base 7 of 9	$\log_{7} (9)$
16297	Expand the Logarithmic Expression	log base 8 of (x^4)/( fifth root of y)	$\log_{8} (\frac{x^{4}}{\sqrt[5]{y}})$
16298	Expand the Logarithmic Expression	log base 9 of ( square root of c)/81	$\log_{9} (\frac{\sqrt{c}}{81})$
16299	Expand the Logarithmic Expression	log base 9 of ( square root of g)/81	$\log_{9} (\frac{\sqrt{g}}{81})$
16300	Expand the Logarithmic Expression	log base 8 of x/8	$\log_{8} (\frac{x}{8})$