Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37501	Graph	(x-1)^2+(y-3)^2=0	${(x - 1)}^{2} + {(y - 3)}^{2} = 0$
37502	Write in Exponential Form	6 natural log of 2x=30	$6 \ln (2 x) = 30$
37503	Write in Exponential Form	7+3 natural log of x=6	$7 + 3 \ln (x) = 6$
37504	Write in Exponential Form	A(36)=90000e^(( natural log of 2)/13*(36))	$A (36) = 90000 e^{\frac{\ln (2)}{13} \cdot (36)}$
37505	Write in Exponential Form	A(48)=2.4e^((( natural log of 2.1)/2.4)/24*48)	$A (48) = 2.4 e^{\frac{\frac{\ln (2.1)}{2.4}}{24} \cdot 48}$
37506	Write in Exponential Form	A(48)=(30000e( natural log of 2))/5*(48)	$A (48) = \frac{30000 e (\ln (2))}{5} \cdot (48)$
37507	Write in Exponential Form	a(60)=10000e^(( natural log of 2)/27*(60))	$a (60) = 10000 e^{\frac{\ln (2)}{27} \cdot (60)}$
37508	Write in Exponential Form	e natural log of e+2e=ce	eln $(e) + 2 e = c e$
37509	Write in Exponential Form	f(100)=(2600( natural log of 11x+11)-2600x11/(11x+11))/(( natural log of 11x+11)^2)	$f (100) = \frac{2600 (\ln (11 x + 11)) - 2600 x \frac{11}{11 x + 11}}{\ln^{2} (11 x + 11)}$
37510	Write in Exponential Form	f(127) = log base 4 of 2x+2-3	$f (127) = \log_{4} (2 x + 2) - 3$
37511	Write in Exponential Form	f(13) = log base 3 of 2x+1-2	$f (13) = \log_{3} (2 x + 1) - 2$
37512	Write in Exponential Form	f(15)=18.1+2.2 natural log of x+1	$f (15) = 18.1 + 2.2 \ln (x + 1)$
37513	Write in Exponential Form	f(4) = log base 2 of x+15	$f (4) = \log_{2} (x + 15)$
37514	Write in Exponential Form	f(7) = log base 2 of x+1-3	$f (7) = \log_{2} (x + 1) - 3$
37515	Write in Exponential Form	g = log of gm	$g = \log (g) m$
37516	Write in Exponential Form	natural log of \|sin(x)\|=1/2* natural log of \|1-cos(20)\|- natural log of 2	$\ln (\| \sin (x) \|) = \frac{1}{2} \cdot \ln (\| 1 - \cos (20) \| - \ln (2))$
37517	Write in Exponential Form	natural log of \|x\|-e^(2x)=3	$\ln (\| x \|) - e^{2 x} = 3$
37518	Write in Exponential Form	natural log of 8=a	$\ln (8) = a$
37519	Write in Exponential Form	log base k of Q=5	$\log_{k} (Q) = 5$
37520	Write in Exponential Form	log base p of n=b	$\log_{p} (n) = b$
37521	Write in Exponential Form	log base x of 0.1=(-1/2)	$\log_{x} (0.1) = (- \frac{1}{2})$
37522	Write in Exponential Form	log base x of 1/100=-2	$\log_{x} (\frac{1}{100}) = - 2$
37523	Graph	16x^2+25y^2+32x-100y-284=0	$16 x^{2} + 25 y^{2} + 32 x - 100 y - 284 = 0$
37524	Write in Exponential Form	log base x of 6^13=26	$\log_{x} (6^{13}) = 26$
37525	Write in Exponential Form	log base x of 3=1/3	$\log_{x} (3) = \frac{1}{3}$
37526	Write in Exponential Form	log base x of 36=-2	$\log_{x} (36) = - 2$
37527	Write in Exponential Form	square root of log of x-4 = log of x-4	$\sqrt{\log (x - 4)} = \log (x - 4)$
37528	Write in Exponential Form	0.14A^0=A^0e^((1/5* natural log of 1/2)t)	$0.14 A^{0} = A^{0} e^{(\frac{1}{5} \cdot \ln (\frac{1}{2})) t}$
37529	Write in Exponential Form	-1(11t) = natural log of 1-i/0.3-1	$- 1 \cdot (11 t) = \ln (1 - \frac{i}{0.3}) \cdot - 1$
37530	Write in Exponential Form	10t=- natural log of 1-i/0.3	$10 t = - \ln (1 - \frac{i}{0.3})$
37531	Write in Exponential Form	11t = natural log of 1-i/0.3	$11 t = \ln (1 - \frac{i}{0.3})$
37532	Write in Exponential Form	125=74+351e^(1/5* natural log of 226/351t)	$125 = 74 + 351 e^{\frac{1}{5} \cdot \ln (\frac{226}{351} t)}$
37533	Write in Exponential Form	15+2 log base 2 of x=31	$15 + 2 \log_{2} (x) = 31$
37534	Write in Exponential Form	150=10 log of x/(10^-16)	$150 = 10 \log (\frac{x}{10^{- 16}})$
37535	Write in Exponential Form	2 log base 11 of x+3.9+3=0	$2 \log_{11} (x + 3.9) + 3 = 0$
37536	Write in Exponential Form	2 log base 3 of x+3 = log base 3 of 9+2	$2 \log_{3} (x + 3) = \log_{3} (9 + 2)$
37537	Write in Exponential Form	2=3 log of 3d=5	$2 = 3 \log (3 d) = 5$
37538	Write in Exponential Form	24* log of 3x=60	$24 \cdot \log (3 x) = 60$
37539	Write in Exponential Form	2 natural log of 3x-4=7	$2 \ln (3 x - 4) = 7$
37540	Write in Exponential Form	2 natural log of 6x=4	$2 \ln (6 x) = 4$
37541	Find the Cosine Given the Point	(-1/4,( square root of 15)/4)	$(- \frac{1}{4}, \frac{\sqrt{15}}{4})$
37542	Write in Exponential Form	log base 3 of x=y	$\log_{3} (x) = y$
37543	Write in Exponential Form	log base 3 of x-3=2- log base 3 of x+5	$\log_{3} (x - 3) = 2 - \log_{3} (x + 5)$
37544	Write in Exponential Form	log base 4 of x=7	$\log_{4} (x) = 7$
37545	Write in Exponential Form	log base 4 of x+12+ log base 4 of x=4	$\log_{4} (x + 12) + \log_{4} (x) = 4$
37546	Write in Exponential Form	log base 4 of x+2- log base 16 of x^2-4=1	$\log_{4} (x + 2) - \log_{16} (x^{2} - 4) = 1$
37547	Write in Exponential Form	log base 4 of x+3+ log base 4 of x+63=4	$\log_{4} (x + 3) + \log_{4} (x + 63) = 4$
37548	Write in Exponential Form	log base 5 of 25^(-2x)=6x-3	$\log_{5} (25^{- 2 x}) = 6 x - 3$
37549	Find the Inverse	cube root of x-5	$\sqrt[3]{x - 5}$
37550	Write in Exponential Form	log base 5 of 3x-1- log base 5 of 2x+7=0	$\log_{5} (3 x - 1) - \log_{5} (2 x + 7) = 0$
37551	Write in Standard Form	y=2(x-1)(x-6)	$y = 2 (x - 1) (x - 6)$
37552	Find the Axis of Symmetry	f(x)=(x+2)^2-9	$f (x) = {(x + 2)}^{2} - 9$
37553	Write in Exponential Form	log base 6.31 of x+4 = log base 4.23 of x-1	$\log_{6.31} (x + 4) = \log_{4.23} (x - 1)$
37554	Write in Exponential Form	log base 6 of 216^x=-3	$\log_{6} (216^{x}) = - 3$
37555	Write in Exponential Form	log base 6 of x^2-5x=1	$\log_{6} (x^{2} - 5 x) = 1$
37556	Write in Exponential Form	log base 6 of 11+ log base 6 of x=1	$\log_{6} (11) + \log_{6} (x) = 1$
37557	Write in Exponential Form	log base 6 of 4x-8 = log base 6 of 10-2x	$\log_{6} (4 x - 8) = \log_{6} (10 - 2 x)$
37558	Write in Exponential Form	log base 6 of 5x^2=2 log base 6 of 5x	$\log_{6} (5 x^{2}) = 2 \log_{6} (5 x)$
37559	Write in Exponential Form	log base 6 of 6x-5=3	$\log_{6} (6 x - 5) = 3$
37560	Write in Exponential Form	log base 8 of 10x-6=2	$\log_{8} (10 x - 6) = 2$
37561	Write in Exponential Form	log base 8 of x = log base 4 of x	$\log_{8} (x) = \log_{4} (x)$
37562	Write in Exponential Form	log base 9 of 200 = log base x of y	$\log_{9} (200) = \log_{x} (y)$
37563	Write in Exponential Form	log base b of u/v = log base b of u- log base b of v	$\log_{b} (\frac{u}{v}) = \log_{b} (u - \log_{b} (v))$
37564	Write in Exponential Form	log base b of 6=3	$\log_{b} (6) = 3$
37565	Write in Exponential Form	log base b of 8=2.079	$\log_{b} (8) = 2.079$
37566	Write in Exponential Form	log base b of 81=4	$\log_{b} (81) = 4$
37567	Expand the Logarithmic Expression	log of xyz	$\log (x y z)$
37568	Expand the Logarithmic Expression	log of z square root of x*y	$\log (z \sqrt{x \cdot y})$
37569	Expand the Logarithmic Expression	log of z square root of xy	$\log (z \sqrt{x y})$
37570	Expand the Logarithmic Expression	log of 7x^3yz	$\log (7 x^{3} y z)$
37571	Expand the Logarithmic Expression	log base 6 of 6xy	$\log_{6} (6 x y)$
37572	Expand the Logarithmic Expression	log of (4)^((xy^3)/(z^6))	$\log ({(4)}^{\frac{x y^{3}}{z^{6}}})$
37573	Expand the Logarithmic Expression	log of square root of z^3y^5x	$\log (\sqrt{z^{3} y^{5} x})$
37574	Expand the Logarithmic Expression	log of square root of 7x	$\log (\sqrt{7 x})$
37575	Expand the Logarithmic Expression	natural log of 7^n	$\ln (7^{n})$
37576	Expand the Logarithmic Expression	natural log of 9^n	$\ln (9^{n})$
37577	Expand the Logarithmic Expression	Solve log base 7 of 3+ log base 7 of 48	Solve $\log_{7} (3) + \log_{7} (48)$
37578	Expand the Logarithmic Expression	t natural log of e^(t/2)	$t \ln (e^{\frac{t}{2}})$
37579	Expand the Logarithmic Expression	x natural log of 5-2x	$x \ln (5 - 2 x)$
37580	Expand the Logarithmic Expression	z natural log of (z-1)^2	$z \ln ({(z - 1)}^{2})$
37581	Write in Exponential Form	(2x log of 8)((x-2) log of 1/4)=(-x log of 4)((2-x) log of 1/2)	$(2 x \log (8)) ((x - 2) \log (\frac{1}{4})) = (- x \log (4)) ((2 - x) \log (\frac{1}{2}))$
37582	Write in Exponential Form	( log of 5a)=x+2	$(\log (5 a)) = x + 2$
37583	Write in Exponential Form	0.70=1e^(-( natural log of 2)/5730t)	$0.7 = 1 e^{- \frac{\ln (2)}{5730} t}$
37584	Write in Exponential Form	1/0.05* natural log of 0.5=t	$\frac{1}{0.05} \cdot \ln (0.5) = t$
37585	Write in Exponential Form	1/3* log base 2 of x=2 log base 2 of 2	$\frac{1}{3} \cdot \log_{2} (x) = 2 \log_{2} (2)$
37586	Write in Exponential Form	10^( log of x)=x	$10^{\log (x)} = x$
37587	Write in Exponential Form	22/25=e^(-( natural log of 2)/h)*48	$\frac{22}{25} = e^{- \frac{\ln (2)}{h}} \cdot 48$
37588	Write in Exponential Form	3/2=( log of 17)/( log of x)	$\frac{3}{2} = \frac{\log (17)}{\log (x)}$
37589	Expand the Logarithmic Expression	log of 9(3)	$\log (9 (3))$
37590	Expand the Logarithmic Expression	log of 90	$\log (90)$
37591	Expand the Logarithmic Expression	log of 90-0.2 log of 12+1	$\log (90) - 0.2 \log (12 + 1)$
37592	Expand the Logarithmic Expression	log of a(u^2v^3)	$\log (a) (u^{2} v^{3})$
37593	Expand the Logarithmic Expression	( log of a(3xy^2))/(z^4)	$\frac{\log (a) (3 x y^{2})}{z^{4}}$
37594	Expand the Logarithmic Expression	log of a ninth root of xy	$\log (a) \sqrt[9]{x y}$
37595	Expand the Logarithmic Expression	log of a(b)^2	$\log (a {(b)}^{2})$
37596	Expand the Logarithmic Expression	log of b((x^(2y))/(z^3))	$\log (b) (\frac{x^{2 y}}{z^{3}})$
37597	Expand the Logarithmic Expression	( log of b(x^2y))/(z^5)	$\frac{\log (b) (x^{2} y)}{z^{5}}$
37598	Expand the Logarithmic Expression	( log of b(xy^5))/(z^4)	$\frac{\log (b) (x y^{5})}{z^{4}}$
37599	Expand the Logarithmic Expression	log of bv((x^4y^2)/(z^8))	$\log (b) v (\frac{x^{4} y^{2}}{z^{8}})$
37600	Expand the Logarithmic Expression	log of log of 10^1000	$\log (\log (10^{1000}))$