Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38001	Write in Exponential Form	3^( log base 3 of 42)=x	$3^{\log_{3} (42)} = x$
38002	Write in Exponential Form	3^( log base 4 of x)=27	$3^{\log_{4} (x)} = 27$
38003	Write in Exponential Form	1/3* log base 2 of 27- log base 2 of 2x-1=2	$\frac{1}{3} \cdot \log_{2} (27) - \log_{2} (2 x - 1) = 2$
38004	Write in Exponential Form	1/3* log base 3 of x=2 log base 3 of 4	$\frac{1}{3} \cdot \log_{3} (x) = 2 \log_{3} (4)$
38005	Write in Exponential Form	1/2* log base 8 of x=2.32	$\frac{1}{2} \cdot \log_{8} (x) = 2.32$
38006	Write in Exponential Form	1/2* natural log of b = natural log of (b)^(1/2)	$\frac{1}{2} \cdot \ln (b) = \ln ({(b)}^{\frac{1}{2}})$
38007	Write in Exponential Form	1/3* log base 9 of x=2 log base 9 of 5	$\frac{1}{3} \cdot \log_{9} (x) = 2 \log_{9} (5)$
38008	Write in Exponential Form	1/5* log of x+8-1=0	$\frac{1}{5} \cdot \log (x + 8) - 1 = 0$
38009	Write in Exponential Form	10^-2.6=10^( log of x)	$10^{- 2.6} = 10^{\log (x)}$
38010	Write in Exponential Form	e^( natural log of x^3)=2	$e^{\ln (x^{3})} = 2$
38011	Write in Exponential Form	e^(- natural log of 1)=0.0025	$e^{- \ln (1)} = 0.0025$
38012	Write in Exponential Form	e^( natural log of 3x)=12	$e^{\ln (3 x)} = 12$
38013	Write in Exponential Form	e^( natural log of 5x)=0	$e^{\ln (5 x)} = 0$
38014	Write in Exponential Form	e^( natural log of 5x)=20	$e^{\ln (5 x)} = 20$
38015	Write in Exponential Form	e^( natural log of x)=e^( natural log of 7)	$e^{\ln (x)} = e^{\ln (7)}$
38016	Write in Exponential Form	e^(- natural log of x)=0.005	$e^{- \ln (x)} = 0.005$
38017	Write in Exponential Form	( natural log of 0.5)/7=k	$\frac{\ln (0.5)}{7} = k$
38018	Write in Exponential Form	( natural log of 1/2)/-0.023=t	$\frac{\ln (\frac{1}{2})}{- 0.023} = t$
38019	Write in Exponential Form	natural log of (1/5)^x=-5	$\ln ({(\frac{1}{5})}^{x}) = - 5$
38020	Write in Exponential Form	( natural log of 2.3/2.6)/24t = natural log of 1.0/2.6	$\frac{\ln (\frac{2.3}{2.6})}{24} t = \ln (\frac{1}{2.6})$
38021	Write in Exponential Form	( natural log of 71/160)/-10=k	$\frac{\ln (\frac{71}{160})}{- 10} = k$
38022	Write in Exponential Form	( natural log of 0.12)/-0.000121=t	$\frac{\ln (0.12)}{- 0.000121} = t$
38023	Write in Exponential Form	( natural log of 0.28)/-0.000121=t	$\frac{\ln (0.28)}{- 0.000121} = t$
38024	Write in Exponential Form	( natural log of 0.35)/-0.00121=t	$\frac{\ln (0.35)}{- 0.00121} = t$
38025	Write in Exponential Form	natural log of (0.5x)^2=0	$\ln ({(0.5 x)}^{2}) = 0$
38026	Write in Exponential Form	( natural log of 1020)/5=k	$\frac{\ln (1020)}{5} = k$
38027	Write in Exponential Form	( natural log of 11x)/( natural log of 4x)=2	$\frac{\ln (11 x)}{\ln (4 x)} = 2$
38028	Write in Exponential Form	( natural log of 1300)/200=r	$\frac{\ln (1300)}{200} = r$
38029	Write in Exponential Form	( natural log of 2)/(12 natural log of 1+0.16/12)=t	$\frac{\ln (2)}{12 \ln (1 + \frac{0.16}{12})} = t$
38030	Write in Exponential Form	( natural log of 24+ natural log of 8)/( log of 24+ log of 8) = natural log of 10	$\frac{\ln (24) + \ln (8)}{\log (24) + \log (8)} = \ln (10)$
38031	Write in Exponential Form	( natural log of 2x+1)/( natural log of 5x-1)=2	$\frac{\ln (2 x + 1)}{\ln (5 x - 1)} = 2$
38032	Write in Exponential Form	natural log of (2x-19)^(7/2)=15.1	$\ln ({(2 x - 19)}^{\frac{7}{2}}) = 15.1$
38033	Write in Exponential Form	natural log of (4)^(x+4) = natural log of (5)^(x+5)	$\ln ({(4)}^{x + 4}) = \ln ({(5)}^{x + 5})$
38034	Write in Exponential Form	( natural log of 7x-5)/4=0	$\frac{\ln (7 x - 5)}{4} = 0$
38035	Write in Exponential Form	( natural log of 8x-2 natural log of 2x)/( natural log of x)=1	$\frac{\ln (8 x) - 2 \ln (2 x)}{\ln (x)} = 1$
38036	Write in Exponential Form	natural log of (e)^(2x+1)=81	$\ln ({(e)}^{2 x + 1}) = 81$
38037	Write in Exponential Form	( natural log of x)/( log of x) = natural log of 10	$\frac{\ln (x)}{\log (x)} = \ln (10)$
38038	Write in Exponential Form	( natural log of x)/x=0	$\frac{\ln (x)}{x} = 0$
38039	Write in Exponential Form	natural log of (x)^2 = natural log of (x)^2	$\ln ({(x)}^{2}) = \ln ({(x)}^{2})$
38040	Write in Exponential Form	natural log of (x)^3=6	$\ln ({(x)}^{3}) = 6$
38041	Write in Exponential Form	log of x=6.3	$\log (x) = 6.3$
38042	Write in Exponential Form	log of x = log of 8.07	$\log (x) = \log (8.07)$
38043	Write in Exponential Form	log of xx- log of 8-5x=2	$\log (x) x - \log (8 - 5 x) = 2$
38044	Write in Exponential Form	log base 1000 of 100=2/3	$\log_{1000} (100) = \frac{2}{3}$
38045	Write in Exponential Form	log base 11 of x^2=4	$\log_{11} (x^{2}) = 4$
38046	Write in Exponential Form	log base 12 of v^2+35 = log base 12 of -12v-1	$\log_{12} (v^{2} + 35) = \log_{12} (- 12 v - 1)$
38047	Write in Exponential Form	log base 125 of x=2/3	$\log_{125} (x) = \frac{2}{3}$
38048	Write in Exponential Form	log base 128 of x=4/7	$\log_{128} (x) = \frac{4}{7}$
38049	Write in Exponential Form	log base 128 of x=6/7	$\log_{128} (x) = \frac{6}{7}$
38050	Write in Exponential Form	log base 14 of 3x+7 = log base 14 of 2x-10	$\log_{14} (3 x + 7) = \log_{14} (2 x - 10)$
38051	Write in Exponential Form	log base 144 of 5x+2- log base 144 of 5x-9=1/2	$\log_{144} (5 x + 2) - \log_{144} (5 x - 9) = \frac{1}{2}$
38052	Write in Exponential Form	log base 16 of 1/8=x	$\log_{16} (\frac{1}{8}) = x$
38053	Write in Exponential Form	log base 16 of square root of x+1=(1/4)	$\log_{16} (\sqrt{x + 1}) = (\frac{1}{4})$
38054	Write in Exponential Form	log base 16 of 18=n	$\log_{16} (18) = n$
38055	Write in Exponential Form	log base 16 of 3n = log base 16 of 2n+1	$\log_{16} (3 n) = \log_{16} (2 n + 1)$
38056	Write in Exponential Form	log base 16 of 4- log base 4 of x+953=-9/2	$\log_{16} (4) - \log_{4} (x + 953) = - \frac{9}{2}$
38057	Write in Exponential Form	log base 16 of 64=x	$\log_{16} (64) = x$
38058	Write in Exponential Form	log base 16 of 9x+5- log base 16 of x^2-1=1/2	$\log_{16} (9 x + 5) - \log_{16} (x^{2} - 1) = \frac{1}{2}$
38059	Write in Exponential Form	natural log of (z)^3-2 natural log of z=2	$\ln ({(z)}^{3}) - 2 \ln (z) = 2$
38060	Write in Exponential Form	log of (1/3)^x = log of (9)^(x+1)	$\log ({(\frac{1}{3})}^{x}) = \log ({(9)}^{x + 1})$
38061	Write in Exponential Form	( log of x^2+ log of x^4)/( log of 100x)=4	$\frac{\log (x^{2}) + \log (x^{4})}{\log (100 x)} = 4$
38062	Write in Exponential Form	( log of x^3+ log of x^4)/( log of 50x)=6	$\frac{\log (x^{3}) + \log (x^{4})}{\log (50 x)} = 6$
38063	Write in Exponential Form	( log of x^8)/(90x)=7	$\frac{\log (x^{8})}{90 x} = 7$
38064	Write in Exponential Form	( log of 16)/( log of 1/2)+( log of 9)/( log of 1/3)=b	$\frac{\log (16)}{\log (\frac{1}{2})} + \frac{\log (9)}{\log (\frac{1}{3})} = b$
38065	Write in Exponential Form	log of (243)^3=1/5	$\log ({(243)}^{3}) = \frac{1}{5}$
38066	Write in Exponential Form	log of (3)^(2x-1) = log of (5)^(3x-4)	$\log ({(3)}^{2 x - 1}) = \log ({(5)}^{3 x - 4})$
38067	Write in Exponential Form	log of (3)^9=x	$\log ({(3)}^{9}) = x$
38068	Write in Exponential Form	( log of 3.846)/( log of 1.01)=12x	$\frac{\log (3.846)}{\log (1.01)} = 12 x$
38069	Write in Exponential Form	( log of 3x)/( log of 3)=( log of 36)/( log of 3)	$\frac{\log (3 x)}{\log (3)} = \frac{\log (36)}{\log (3)}$
38070	Write in Exponential Form	log of (5)^(5x+12)=2	$\log ({(5)}^{5 x + 12}) = 2$
38071	Write in Exponential Form	log of (5x-6)^1782=4	$\log ({(5 x - 6)}^{1782}) = 4$
38072	Write in Exponential Form	( log of 7x-12)/( log of x)=2	$\frac{\log (7 x - 12)}{\log (x)} = 2$
38073	Write in Exponential Form	( log of 8)/( log of 5)=x	$\frac{\log (8)}{\log (5)} = x$
38074	Write in Exponential Form	( log of 8)/( log of u)+( log of 27)/( log of 1/3)-( log of 81)/( log of 1/3)=-2	$\frac{\log (8)}{\log (u)} + \frac{\log (27)}{\log (\frac{1}{3})} - \frac{\log (81)}{\log (\frac{1}{3})} = - 2$
38075	Write in Exponential Form	( log of 8)/( log of x)=3	$\frac{\log (8)}{\log (x)} = 3$
38076	Write in Exponential Form	( log of x)/(1/125)=-3	$\frac{\log (x)}{\frac{1}{125}} = - 3$
38077	Write in Exponential Form	log of (x)^2=( log of x)^2	$\log ({(x)}^{2}) = \log^{2} (x)$
38078	Write in Exponential Form	log of (x)^3=6 log of x	$\log ({(x)}^{3}) = 6 \log (x)$
38079	Write in Exponential Form	log of (x)^4=2	$\log ({(x)}^{4}) = 2$
38080	Write in Exponential Form	log base 2 of x+4=3- log base 2 of x+6	$\log_{2} (x + 4) = 3 - \log_{2} (x + 6)$
38081	Find the Vertex Form	x^2+y^2=16	$x^{2} + y^{2} = 16$
38082	Write in Exponential Form	log base 2 of x+14- log base 2 of x-1=3	$\log_{2} (x + 14) - \log_{2} (x - 1) = 3$
38083	Write in Exponential Form	log base 2 of x+14=3	$\log_{2} (x + 14) = 3$
38084	Write in Exponential Form	log base 2 of x+15=4	$\log_{2} (x + 15) = 4$
38085	Write in Exponential Form	log base 2 of x+17- log base 2 of x-1=1	$\log_{2} (x + 17) - \log_{2} (x - 1) = 1$
38086	Find the Domain and Range	csc(x)	$\csc (x)$
38087	Write in Exponential Form	log base 2 of x+23=5	$\log_{2} (x + 23) = 5$
38088	Write in Exponential Form	log base 21 of x-3+ log base 21 of x+1=1	$\log_{21} (x - 3) + \log_{21} (x + 1) = 1$
38089	Graph	x^2=10y	$x^{2} = 10 y$
38090	Write in Exponential Form	log base 25 of x=3/2	$\log_{25} (x) = \frac{3}{2}$
38091	Write in Exponential Form	log base 25 of x=5/2	$\log_{25} (x) = \frac{5}{2}$
38092	Write in Exponential Form	log base 255 of 2x+3+ log base 255 of 2x+1=1	$\log_{255} (2 x + 3) + \log_{255} (2 x + 1) = 1$
38093	Write in Exponential Form	log base 256 of A-5=-1/4	$\log_{256} (A - 5) = - \frac{1}{4}$
38094	Write in Exponential Form	log base 27 of 243=x	$\log_{27} (243) = x$
38095	Graph	5x^2-8xy+y^2+4x-5y+9=0	$5 x^{2} - 8 x y + y^{2} + 4 x - 5 y + 9 = 0$
38096	Write in Exponential Form	log base 27 of x=1/3	$\log_{27} (x) = \frac{1}{3}$
38097	Write in Exponential Form	log base 3 of 3^(5x+1)=2	$\log_{3} (3^{5 x + 1}) = 2$
38098	Write in Exponential Form	log base 3 of square root of 27=x	$\log_{3} (\sqrt{27}) = x$
38099	Write in Exponential Form	log base 3 of x^2-4x-18=3	$\log_{3} (x^{2} - 4 x - 18) = 3$
38100	Write in Exponential Form	log base 3 of x^2-4x-36=2	$\log_{3} (x^{2} - 4 x - 36) = 2$