Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37801	Write in Exponential Form	y=(x^4-e^x)/( natural log of x)	$y = \frac{x^{4} - e^{x}}{\ln (x)}$
37802	Write in Exponential Form	y=e^(7( natural log of x))	$y = e^{7 (\ln (x))}$
37803	Write in Exponential Form	y = natural log of (\|(x^2-x-12)/((x+6)^5)\|)^(1/4)
37804	Write in Exponential Form	y = log base 36 of 216	$y = \log_{36} (216)$
37805	Solve for x	2800=400*2^(10x)	$2800 = 400 \cdot 2^{10 x}$
37806	Write in Exponential Form	y = log base a of x-2	$y = \log_{a} (x - 2)$
37807	Solve for x	3^(-4+5x)=27	$3^{- 4 + 5 x} = 27$
37808	Write in Exponential Form	natural log of y=3t+C	$\ln (y) = 3 t + C$
37809	Write in Exponential Form	log of (m^2)/(m^5)=2 log of m-5 log of n	$\log (\frac{m^{2}}{m^{5}}) = 2 \log (m) - 5 \log (n)$
37810	Write in Exponential Form	log of 4^(5x) = log of 16^(2x-1)	$\log (4^{5 x}) = \log (16^{2 x - 1})$
37811	Write in Exponential Form	log of e^x=x	$\log (e^{x}) = x$
37812	Write in Exponential Form	log of x/y=( log of x)/( log of y)	$\log (\frac{x}{y}) = \frac{\log (x)}{\log (y)}$
37813	Write in Exponential Form	log of x^2=8	$\log (x^{2}) = 8$
37814	Solve for x	square root of 7-5x=8	$\sqrt{7 - 5 x} = 8$
37815	Write in Exponential Form	log of 10x-2 log of 10y=3 log of 10z	$\log (10) x - 2 \log (10) y = 3 \log (10) z$
37816	Write in Exponential Form	log of 11x^2=4	$\log (11) x^{2} = 4$
37817	Write in Exponential Form	log of 2(5x+2)=4	$\log (2) (5 x + 2) = 4$
37818	Write in Exponential Form	log of 2(x-2)=3	$\log (2) (x - 2) = 3$
37819	Write in Exponential Form	log of 3x-24 = log of x	$\log (3 x - 24) = \log (x)$
37820	Write in Exponential Form	log of 4(x-8)+ log of 4(x+55)=3	$\log (4) (x - 8) + \log (4) (x + 55) = 3$
37821	Write in Exponential Form	log of 4x = log of 4(8-x)	$\log (4) x = \log (4) (8 - x)$
37822	Write in Exponential Form	y = log base z of x	$y = \log_{z} (x)$
37823	Write in Exponential Form	y=1+1.3 natural log of x+1	$y = 1 + 1.3 \ln (x + 1)$
37824	Write in Exponential Form	y=10.5e^(( natural log of 1/2)/5715)*11000	$y = 10.5 e^{\frac{\ln (\frac{1}{2})}{5715}} \cdot 11000$
37825	Write in Exponential Form	y=10 log of 1/(10^-12)	$y = 10 \log (\frac{1}{10^{- 12}})$
37826	Write in Exponential Form	y=2e^( natural log of (x)^2)	$y = 2 e^{\ln ({(x)}^{2})}$
37827	Write in Exponential Form	y=4 log base 2 of 8	$y = 4 \log_{2} (8)$
37828	Write in Exponential Form	y=90-15 log of 10(2+1)	$y = 90 - 15 \log (10) (2 + 1)$
37829	Write in Exponential Form	y = natural log of (x-1)/x+1	$y = \ln (\frac{x - 1}{x} + 1)$
37830	Solve for x	( natural log of 6x)^2 = natural log of (3x)^2	$\ln^{2} (6 x) = \ln ({(3 x)}^{2})$
37831	Solve for x	( log of z)^2 = log of z^3	$\log^{2} (z) = \log (z^{3})$
37832	Solve for x	e^(2( natural log of 3))+2e^( natural log of 3)-15=0	$e^{2 (\ln (3))} + 2 e^{\ln (3)} - 15 = 0$
37833	Solve for x	e^(- natural log of x)=0.0125	$e^{- \ln (x)} = 0.0125$
37834	Solve for x	( log of 0.546)/( log of x)=-1.3	$\frac{\log (0.546)}{\log (x)} = - 1.3$
37835	Solve for x	log of (e)^52=2x+1	$\log ({(e)}^{52}) = 2 x + 1$
37836	Solve for x	( log of x+7)/( log of 6)=2	$\frac{\log (x + 7)}{\log (6)} = 2$
37837	Solve for x	log of 2x+4+ log of x-2=1	$\log (2 x + 4) + \log (x - 2) = 1$
37838	Solve for x	log base 15 of log base 3 of (3)^15=x	$\log_{15} (\log_{3} ({(3)}^{15})) = x$
37839	Solve for x	log base 2 of log base 2 of log base 2 of 2^(4x)=3	$\log_{2} (\log_{2} (\log_{2} (2^{4 x}))) = 3$
37840	Solve for x	log base 2 of log base 4 of log base 2 of x=0	$\log_{2} (\log_{4} (\log_{2} (x))) = 0$
37841	Solve for x	log base 2 of x^2+11x+28=2	$\log_{2} (x^{2} + 11 x + 28) = 2$
37842	Solve for x	log base 2 of x^2-36- log base 2 of x+6=1	$\log_{2} (x^{2} - 36) - \log_{2} (x + 6) = 1$
37843	Solve for x	log base 2 of x+8+ log base 2 of x+6=3	$\log_{2} (x + 8) + \log_{2} (x + 6) = 3$
37844	Solve for x	log base 2 of x-10+ log base 2 of x-3- log base 2 of x=2	$\log_{2} (x - 10) + \log_{2} (x - 3) - \log_{2} (x) = 2$
37845	Solve for x	log base 2 of x-2(x-9)=3	$\log_{2} (x - 2) (x - 9) = 3$
37846	Solve for x	log base 25 of 2x+5=2	$\log_{25} (2 x + 5) = 2$
37847	Solve for x	log base 3 of x^2+2- log base 3 of x-2=2 log base 3 of x+2	$\log_{3} (x^{2} + 2) - \log_{3} (x - 2) = 2 \log_{3} (x + 2)$
37848	Solve for x	log base 3 of x^2-5x-27=2	$\log_{3} (x^{2} - 5 x - 27) = 2$
37849	Solve for x	log base 3 of 2x-1=1	$\log_{3} (2 x - 1) = 1$
37850	Solve for x	log base 3 of 90=x	$\log_{3} (90) = x$
37851	Solve by Substitution	x+y+5z=7 , 3x+2y+14z=5 , x+4z=-9	$x + y + 5 z = 7$ , $3 x + 2 y + 14 z = 5$ , $x + 4 z = - 9$
37852	Solve by Substitution	xy=24 , 2x-y=-2	$x y = 24$ , $2 x - y = - 2$
37853	Solve for x	log base 3 of x+1-2 log base 3 of x-1=1	$\log_{3} (x + 1) - 2 \log_{3} (x - 1) = 1$
37854	Solve for x	log base 4 of x^2-2x-15- log base 4 of x+3=2	$\log_{4} (x^{2} - 2 x - 15) - \log_{4} (x + 3) = 2$
37855	Solve for x	log base 4 of x^2-8x+16=1	$\log_{4} (x^{2} - 8 x + 16) = 1$
37856	Solve for x	log base 4 of 2x-14=2	$\log_{4} (2 x - 14) = 2$
37857	Solve for x	log base 4 of t+14- log base 4 of t+6 = log base 4 of t	$\log_{4} (t + 14) - \log_{4} (t + 6) = \log_{4} (t)$
37858	Solve for x	log base 4 of x-5=2	$\log_{4} (x - 5) = 2$
37859	Solve for x	log base 5 of x^2 = log base 5 of 6^3	$\log_{5} (x^{2}) = \log_{5} (6^{3})$
37860	Solve for x	log base 5 of x^2+x+4=3	$\log_{5} (x^{2} + x + 4) = 3$
37861	Solve for x	log base 5 of 11+ log base 5 of x=1	$\log_{5} (11) + \log_{5} (x) = 1$
37862	Solve for x	log base 5 of 3x+ log base 5 of 2x-1 = log base 5 of 16x-10	$\log_{5} (3 x) + \log_{5} (2 x - 1) = \log_{5} (16 x - 10)$
37863	Solve for x	log base 5 of -45x-2 log base 5 of 2-x=1+ log base 5 of -x	$\log_{5} (- 45 x) - 2 \log_{5} (2 - x) = 1 + \log_{5} (- x)$
37864	Solve for x	log base 5 of x+17+ log base 5 of x+117=5	$\log_{5} (x + 17) + \log_{5} (x + 117) = 5$
37865	Solve for x	log base 5 of x+17=3- log base 5 of x-3	$\log_{5} (x + 17) = 3 - \log_{5} (x - 3)$
37866	Solve for x	log base 5 of x+26+ log base 5 of x+2=2	$\log_{5} (x + 26) + \log_{5} (x + 2) = 2$
37867	Solve for x	log base 5 of x+3=4+ log base 5 of x-5	$\log_{5} (x + 3) = 4 + \log_{5} (x - 5)$
37868	Solve for x	log base 6 of 5x-8=2	$\log_{6} (5 x - 8) = 2$
37869	Solve for x	log base 6 of x+ log base 6 of x+2 = log base 6 of 24	$\log_{6} (x) + \log_{6} (x + 2) = \log_{6} (24)$
37870	Solve for x	log base 6 of x+32- log base 6 of x-3=2	$\log_{6} (x + 32) - \log_{6} (x - 3) = 2$
37871	Solve for x	log base 6 of x+33+ log base 6 of x-2=2	$\log_{6} (x + 33) + \log_{6} (x - 2) = 2$
37872	Solve for x	log base 8 of x+3+ log base 8 of x+2=2	$\log_{8} (x + 3) + \log_{8} (x + 2) = 2$
37873	Solve for x	log base 8 of x-12+ log base 8 of x=2	$\log_{8} (x - 12) + \log_{8} (x) = 2$
37874	Solve for x	log base 9 of 9^3=x	$\log_{9} (9^{3}) = x$
37875	Solve for x	log base 9 of 3t+11- log base 9 of t = log base 9 of 4	$\log_{9} (3 t + 11) - \log_{9} (t) = \log_{9} (4)$
37876	Solve for x	log base 9 of 7+ log base 9 of x=1	$\log_{9} (7) + \log_{9} (x) = 1$
37877	Solve for x	log base 9 of x=-2	$\log_{9} (x) = - 2$
37878	Solve for x	log base b of 2x^2+5x-7- log base b of 2x+7(r^2-1)+ log base b of x+1=0	$\log_{b} (2 x^{2} + 5 x - 7) - \log_{b} (2 x + 7) (r^{2} - 1) + \log_{b} (x + 1) = 0$
37879	Solve for x	log base g of 2x = log base g of 48-x^2	$\log_{g} (2 x) = \log_{g} (48 - x^{2})$
37880	Solve for x	log base x of 1/5=-1	$\log_{x} (\frac{1}{5}) = - 1$
37881	Solve for x	log base x of 0.01=-2	$\log_{x} (0.01) = - 2$
37882	Solve for x	log base x of 10=-1	$\log_{x} (10) = - 1$
37883	Write in Exponential Form	log of s = log of c+k log of a	$\log (s) = \log (c + k) \log (a)$
37884	Write in Exponential Form	log of w=1/5* log of x- log of y	$\log (w) = \frac{1}{5} \cdot \log (x) - \log (y)$
37885	Write in Exponential Form	log of x=3/8	$\log (x) = \frac{3}{8}$
37886	Write in Exponential Form	log of x = log of x-6- log of 2	$\log (x) = \log (x - 6) - \log (2)$
37887	Write in Exponential Form	log of x+1=5	$\log (x + 1) = 5$
37888	Solve for x	log base x of 25=5	$\log_{x} (25) = 5$
37889	Solve for x	log base x of 2y=3 , log base x of 4y=2	$\log_{x} (2 y) = 3$ , $\log_{x} (4 y) = 2$
37890	Solve for x	log base x of 38.8=5	$\log_{x} (38.8) = 5$
37891	Evaluate the Limit	limit as x approaches infinity of (9x^4+3)/(4x^4)	$lim_{x \to \infty} \frac{9 x^{4} + 3}{4 x^{4}}$
37892	Solve for x	1=- log of x	$1 = - \log (x)$
37893	Solve for x	2 log of x-1 = log of x+1	$2 \log (x - 1) = \log (x + 1)$
37894	Solve for x	2+ natural log of x-5=8	$2 + \ln (x - 5) = 8$
37895	Solve for x	2 natural log of 7x=4	$2 \ln (7 x) = 4$
37896	Solve for x	2 natural log of x+1=7	$2 \ln (x + 1) = 7$
37897	Solve for x	2 log of 3-x=1-x	$2 \log (3 - x) = 1 - x$
37898	Solve for x	3.3=- log of x	$3.3 = - \log (x)$
37899	Solve for x	3 log base 2 of square root of x- log base 2 of x+1+( log base 2 of 25)/2=3	$3 \log_{2} (\sqrt{x}) - \log_{2} (x + 1) + \frac{\log_{2} (25)}{2} = 3$
37900	Solve for x	3 log base 2 of x-2=5- log base 2 of 4	$3 \log_{2} (x - 2) = 5 - \log_{2} (4)$