Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37901	Solve for x	3 natural log of 2x=15	$3 \ln (2 x) = 15$
37902	Solve for x	4 log base 3 of 2x+8 log base 3 of x-5=0	$4 \log_{3} (2 x) + 8 \log_{3} (x) - 5 = 0$
37903	Solve for x	4 natural log of (3(e^3))/3=12	$4 \ln (\frac{3 (e^{3})}{3}) = 12$
37904	Solve for x	5.6=- log of x	$5.6 = - \log (x)$
37905	Solve for x	5e^x = natural log of 4	$5 e^{x} = \ln (4)$
37906	Solve for x	5+ natural log of x-4=3	$5 + \ln (x - 4) = 3$
37907	Solve for x	5 log of x+2 = log of 5^4	$5 \log (x + 2) = \log (5^{4})$
37908	Solve for x	62+35 log of 14-4=0	$62 + 35 \log (14 - 4) = 0$
37909	Write in Exponential Form	( natural log of x)^3 = natural log of x^9	$\ln^{3} (x) = \ln (x^{9})$
37910	Write in Exponential Form	( log of z)^2 = log of z^8	$\log^{2} (z) = \log (z^{8})$
37911	Write in Exponential Form	( log of (x)^3+ log of (x)^4)/( log of 60x)=3	$\frac{\log ({(x)}^{3}) + \log ({(x)}^{4})}{\log (60 x)} = 3$
37912	Write in Exponential Form	( log base 121 of 2x+1)/( log base 121 of 2x-9)=1/2	$\frac{\log_{121} (2 x + 1)}{\log_{121} (2 x - 9)} = \frac{1}{2}$
37913	Write in Exponential Form	log base 2 of (2)^0.3=x	$\log_{2} ({(2)}^{0.3}) = x$
37914	Write in Exponential Form	( log base 2 of 20)/( log base z of x) = natural log of 20	$\frac{\log_{2} (20)}{\log_{z} (x)} = \ln (20)$
37915	Write in Exponential Form	( log base 2 of 8)/( log base 2 of 32)=x	$\frac{\log_{2} (8)}{\log_{2} (32)} = x$
37916	Write in Exponential Form	log base 3 of (9)^(2x)+ log base 4 of 16=x	$\log_{3} ({(9)}^{2 x}) + \log_{4} (16) = x$
37917	Write in Exponential Form	log base 3 of (r+4)^2=4	$\log_{3} ({(r + 4)}^{2}) = 4$
37918	Write in Exponential Form	log base 4 of (2)^60=x	$\log_{4} ({(2)}^{60}) = x$
37919	Write in Exponential Form	log base 5 of (20)^(x+1)=15	$\log_{5} ({(20)}^{x + 1}) = 15$
37920	Write in Exponential Form	log base 5 of (5)^0.3=x	$\log_{5} ({(5)}^{0.3}) = x$
37921	Write in Exponential Form	log base 8 of (8)^0.2=x	$\log_{8} ({(8)}^{0.2}) = x$
37922	Write in Exponential Form	log base 9 of (14)^(x-3)=14	$\log_{9} ({(14)}^{x - 3}) = 14$
37923	Write in Exponential Form	1/2* log base 2 of x^7=12	$\frac{1}{2} \cdot \log_{2} (x^{7}) = 12$
37924	Write in Exponential Form	0.026x = natural log of 0.035	$0.026 x = \ln (0.035)$
37925	Write in Exponential Form	0.5=2^(-0.003508t log base 0 of 2)	$0.5 = 2^{- 0.003508 t \log_{0} (2)}$
37926	Write in Exponential Form	0.6342 = log of x+2	$0.6342 = \log (x + 2)$
37927	Write in Exponential Form	0.87=( natural log of 2)/h	$0.87 = \frac{\ln (2)}{h}$
37928	Write in Exponential Form	0.96 = log of x	$0.96 = \log (x)$
37929	Write in Exponential Form	(125x)/12=200 log of (9x)/24+1	$\frac{125 x}{12} = 200 \log (\frac{9 x}{24} + 1)$
37930	Write in Exponential Form	(-3x+10)^3 = natural log of 66	${(- 3 x + 10)}^{3} = \ln (66)$
37931	Write in Exponential Form	( natural log of 0.10)/(( natural log of 1/2)/22)=x	$\frac{\ln (0.1)}{\frac{\ln (\frac{1}{2})}{22}} = x$
37932	Write in Exponential Form	( natural log of 0.67)/(( natural log of 1/2)/22)=x	$\frac{\ln (0.67)}{\frac{\ln (\frac{1}{2})}{22}} = x$
37933	Write in Exponential Form	( natural log of x)^2=9	$\ln^{2} (x) = 9$
37934	Write in Exponential Form	( log of x^2+ log of x^3)=3( log of 100x)	$(\log (x^{2}) + \log (x^{3})) = 3 (\log (100 x))$
37935	Write in Exponential Form	(-x+3) log of 7 = log of 26	$(- x + 3) \log (7) = \log (26)$
37936	Solve for x	natural log of x-4 = natural log of 11x	$\ln (x - 4) = \ln (11 x)$
37937	Write in Exponential Form	(1/2) log of x+ log of 4=2	$(\frac{1}{2}) \log (x) + \log (4) = 2$
37938	Write in Exponential Form	( log base 3 of x-2)+ log base 3 of x-4=2	$(\log_{3} (x - 2)) + \log_{3} (x - 4) = 2$
37939	Write in Exponential Form	(( log base 7 of x+3)÷( log base 7 of x+1))=( log base 7 of x-2÷( log base 7 of x+4))	$(\log_{7} (x + 3) \div \log_{7} (x + 1)) = (\log_{7} (x - 2 \div \log_{7} (x + 4)))$
37940	Write in Exponential Form	(1-x) natural log of 10=x natural log of 9	$(1 - x) \ln (10) = x \ln (9)$
37941	Write in Exponential Form	(2x-5) natural log of 3 = natural log of 2/5	$(2 x - 5) \ln (3) = \ln (\frac{2}{5})$
37942	Write in Exponential Form	(7-3x) log of 2=1/4	$(7 - 3 x) \log (2) = \frac{1}{4}$
37943	Solve for x	log of 2^x=-3	$\log (2^{x}) = - 3$
37944	Solve for x	log of (7x+5)/(x-5)=1	$\log (\frac{7 x + 5}{x - 5}) = 1$
37945	Solve for x	log of x^2-1- log of 12=1	$\log (x^{2} - 1) - \log (12) = 1$
37946	Solve for x	log of x^3 = log of (x)^2	$\log (x^{3}) = \log ({(x)}^{2})$
37947	Solve for x	log of 15-x=0.5	$\log (15 - x) = 0.5$
37948	Solve for x	log of 1-x=-1	$\log (1 - x) = - 1$
37949	Solve for x	log of 2x-1 = log of 3x+9	$\log (2 x - 1) = \log (3 x + 9)$
37950	Solve for x	log of 3(3x-2)=2	$\log (3) (3 x - 2) = 2$
37951	Solve for x	log of 3(x+7)=2	$\log (3) (x + 7) = 2$
37952	Solve for x	log of 3x=5	$\log (3) x = 5$
37953	Evaluate the Limit	limit as x approaches -5 of (2x+10)/(x^2+2x-15)	$lim_{x \to - 5} \frac{2 x + 10}{x^{2} + 2 x - 15}$
37954	Solve for x	natural log of x+3=3 natural log of x	$\ln (x + 3) = 3 \ln (x)$
37955	Solve for x	natural log of x+9+ natural log of x-9=0	$\ln (x + 9) + \ln (x - 9) = 0$
37956	Write in Exponential Form	log of 5(x+1)=3	$\log (5) (x + 1) = 3$
37957	Write in Exponential Form	log of 5x=0.8	$\log (5 x) = 0.8$
37958	Write in Exponential Form	log of 6x+7=2	$\log (6 x + 7) = 2$
37959	Write in Exponential Form	log of 9*(9x)-2=- log of 9x	$\log (9) \cdot (9 x) - 2 = - \log (9) x$
37960	Solve for x	9 natural log of 8x=18	$9 \ln (8 x) = 18$
37961	Solve for x	natural log of 3787/3205 = natural log of 1+0.054	$\ln (\frac{3787}{3205}) = \ln (1 + 0.054)$
37962	Solve for x	natural log of 5^x = natural log of 1	$\ln (5^{x}) = \ln (1)$
37963	Solve for x	natural log of e^(3x)- natural log of e^2=2	$\ln (e^{3 x}) - \ln (e^{2}) = 2$
37964	Solve for x	natural log of e^x=19	$\ln (e^{x}) = 19$
37965	Solve for x	natural log of e^x=20	$\ln (e^{x}) = 20$
37966	Solve for x	natural log of y/166=0.188	$\ln (\frac{y}{166}) = 0.188$
37967	Solve for x	natural log of 1+ log of x=3	$\ln (1 + \log (x)) = 3$
37968	Solve for x	natural log of 2x = natural log of x+3	$\ln (2 x) = \ln (x + 3)$
37969	Solve for x	natural log of 2x-6 = natural log of 9	$\ln (2 x - 6) = \ln (9)$
37970	Solve for x	natural log of 4+ natural log of x = natural log of 8+ natural log of 2x-4	$\ln (4) + \ln (x) = \ln (8) + \ln (2 x - 4)$
37971	Solve for x	natural log of 4 = natural log of 4x-4	$\ln (4) = \ln (4 x - 4)$
37972	Solve for x	natural log of 4x-7 = natural log of x+11	$\ln (4 x - 7) = \ln (x + 11)$
37973	Simplify Using Half-Angle Formula	tan((7pi)/8)	$\ln (x) = \frac{\log (e)}{\log (x)}$
37974	Solve for x	natural log of x=( log of x)/( log of e)	$\ln (x) = \frac{\log (x)}{\log (e)}$
37975	Solve for x	log of 4x-3 = log of x+1+ log of 5	$\log (4 x - 3) = \log (x + 1) + \log (5)$
37976	Solve for x	log of 5x=3 log of 525+0.5 log of 581-2 log of 5*3	$\log (5) x = 3 \log (5) \cdot 25 + 0.5 \log (5) \cdot 81 - 2 \log (5) \cdot 3$
37977	Solve for x	log of 5x=6	$\log (5 x) = 6$
37978	Solve for x	log of 6(x+2)=1	$\log (6) (x + 2) = 1$
37979	Solve for x	log of 6x- log of 2x-5 = log of 7	$\log (6 x) - \log (2 x - 5) = \log (7)$
37980	Solve for x	log of 7x+1 = log of 9	$\log (7 x + 1) = \log (9)$
37981	Solve for x	log of 8+3 log of x=3	$\log (8) + 3 \log (x) = 3$
37982	Solve for x	log of x+ log of x+1 = log of x+5	$\log (x) + \log (x + 1) = \log (x + 5)$
37983	Solve for x	log of x=1/6	$\log (x) = \frac{1}{6}$
37984	Solve for x	log of x-3+ log of 6 = log of x	$\log (x - 3) + \log (6) = \log (x)$
37985	Solve for x	log of z=5	$\log (z) = 5$
37986	Solve for x	R(119000)=0.37* natural log of 0.05	$R (119000) = 0.37 \cdot \ln (0.05)$
37987	Solve for x	x=( natural log of 2)/0.005	$x = \frac{\ln (2)}{0.005}$
37988	Solve for x	x = log base 3 of 14	$x = \log_{3} (14)$
37989	Solve for x	x = log of 2 fifth root of 8	$x = \log (2) \sqrt[5]{8}$
37990	Solve for x	y = log of 2500	$y = \log (2500)$
37991	Write in Exponential Form	( log base 2 of (0.305)^2)+7 log base 2 of 0.305+12=0	$(\log_{2} ({(0.305)}^{2})) + 7 \log_{2} (0.305) + 12 = 0$
37992	Write in Exponential Form	10^-4.8=10^( log of x)	$10^{- 4.8} = 10^{\log (x)}$
37993	Write in Exponential Form	10^-5.8=10^( log of x)	$10^{- 5.8} = 10^{\log (x)}$
37994	Write in Exponential Form	(10 natural log of 35/66)/( natural log of 10/11)=t	$\frac{10 \ln (\frac{35}{66})}{\ln (\frac{10}{11})} = t$
37995	Write in Exponential Form	2.1e^((x/2) natural log of 3)=5	$2.1 e^{(\frac{x}{2}) \ln (3)} = 5$
37996	Write in Exponential Form	2^( log base 2 of 8x-5)=6	$2^{\log_{2} (8 x - 5)} = 6$
37997	Write in Exponential Form	2^(2 log base 3 of x)=1/16	$2^{2 \log_{3} (x)} = \frac{1}{16}$
37998	Write in Exponential Form	2^(7x) = natural log of 84	$2^{7 x} = \ln (84)$
37999	Write in Exponential Form	21230.40/20000=4t log of 1.01	$\frac{21230.4}{20000} = 4 \cdot t \cdot \log (1.01)$
38000	Write in Exponential Form	2x-7e^x=( natural log of 10)	$2 x - 7 e^{x} = (\ln (10))$