Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37701	Expand the Logarithmic Expression	log of 3p^2q^3	$\log (3) p^{2} q^{3}$
37702	Expand the Logarithmic Expression	log of 3 square root of (7^3)/(5^4)	$\log (3) \sqrt{\frac{7^{3}}{5^{4}}}$
37703	Expand the Logarithmic Expression	log of 3 square root of 27	$\log (3) \sqrt{27}$
37704	Expand the Logarithmic Expression	log of 3x^2y^7	$\log (3) x^{2} y^{7}$
37705	Expand the Logarithmic Expression	log of 20*125	$\log (20) \cdot 125$
37706	Expand the Logarithmic Expression	log of 200	$\log (200)$
37707	Expand the Logarithmic Expression	log of 225*15	$\log (225) \cdot 15$
37708	Expand the Logarithmic Expression	log of 24- log of 6	$\log (24) - \log (6)$
37709	Expand the Logarithmic Expression	- log of 25	$- \log (25)$
37710	Expand the Logarithmic Expression	log of 15x	$\log (15 x)$
37711	Expand the Logarithmic Expression	log of 160	$\log (160)$
37712	Expand the Logarithmic Expression	log of 173	$\log (173)$
37713	Expand the Logarithmic Expression	log of 2ab^2	$\log (2) a b^{2}$
37714	Expand the Logarithmic Expression	log of 2x^5	$\log (2) x^{5}$
37715	Expand the Logarithmic Expression	log of 2*(4x)	$\log (2) \cdot (4 x)$
37716	Expand the Logarithmic Expression	log of 2x square root of y	$\log (2) x \sqrt{y}$
37717	Expand the Logarithmic Expression	log of 2x^2	$\log (2 x^{2})$
37718	Expand the Logarithmic Expression	log of 2x^2y	$\log (2 x^{2} y)$
37719	Expand the Logarithmic Expression	log of 100000x square root of x-3	$\log (100000 x \sqrt{x - 3})$
37720	Expand the Logarithmic Expression	log of 10000x( square root of x-3)	$\log (10000 x (\sqrt{x - 3}))$
37721	Expand the Logarithmic Expression	log of 1000000x square root of x-3	$\log (1000000 x \sqrt{x - 3})$
37722	Expand the Logarithmic Expression	log of 100x( square root of x-3)	$\log (100 x (\sqrt{x - 3}))$
37723	Expand the Logarithmic Expression	log of 1000x square root of x-3	$\log (1000 x \sqrt{x - 3})$
37724	Expand the Logarithmic Expression	log of 11*10^8	$\log (11 \cdot 10^{8})$
37725	Expand the Logarithmic Expression	log of yz^5	$\log (y z^{5})$
37726	Expand the Logarithmic Expression	log of z/(y^3)	$\log (\frac{z}{y^{3}})$
37727	Expand the Logarithmic Expression	log of z/(y^4)	$\log (\frac{z}{y^{4}})$
37728	Expand the Logarithmic Expression	log of z/(y^6)	$\log (\frac{z}{y^{6}})$
37729	Expand the Logarithmic Expression	log of z/(y^8)	$\log (\frac{z}{y^{8}})$
37730	Expand the Logarithmic Expression	log of z^3y	$\log (z^{3} y)$
37731	Expand the Logarithmic Expression	log of z^4( square root of y^7x)	$\log (z^{4} (\sqrt{y^{7} x}))$
37732	Expand the Logarithmic Expression	log of z^5 square root of ((x+2)^9)/y	$\log (z^{5} \sqrt{\frac{{(x + 2)}^{9}}{y}})$
37733	Expand the Logarithmic Expression	log of z^5xy^3	$\log (z^{5} x y^{3})$
37734	Expand the Logarithmic Expression	log of z^5x	$\log (z^{5} x)$
37735	Expand the Logarithmic Expression	log of z^7y	$\log (z^{7} y)$
37736	Expand the Logarithmic Expression	log of z^8x	$\log (z^{8} x)$
37737	Expand the Logarithmic Expression	log of z^9yx^3	$\log (z^{9} y x^{3})$
37738	Expand the Logarithmic Expression	log of xy^3z^9	$\log (x y^{3} z^{9})$
37739	Expand the Logarithmic Expression	log of xy^4	$\log (x y^{4})$
37740	Expand the Logarithmic Expression	log of xy^7	$\log (x y^{7})$
37741	Expand the Logarithmic Expression	log of xz^5	$\log (x z^{5})$
37742	Expand the Logarithmic Expression	log of xz^6	$\log (x z^{6})$
37743	Expand the Logarithmic Expression	log of xz^7	$\log (x z^{7})$
37744	Expand the Logarithmic Expression	log of (y(y+1)^7z^4)/x	$\log (\frac{y {(y + 1)}^{7} z^{4}}{x})$
37745	Expand the Logarithmic Expression	log of y/(x^4)	$\log (\frac{y}{x^{4}})$
37746	Expand the Logarithmic Expression	log of zx^6	$\log (z x^{6})$
37747	Expand the Logarithmic Expression	log of zx^8	$\log (z x^{8})$
37748	Expand the Logarithmic Expression	log of zy^6	$\log (z y^{6})$
37749	Expand the Logarithmic Expression	log of 0.00001M	$\log (0.00001 M)$
37750	Expand the Logarithmic Expression	log of 0.00001z	$\log (0.00001 z)$
37751	Expand the Logarithmic Expression	log of 1.01	$\log (1.01)$
37752	Expand the Logarithmic Expression	log of 1.05*10^28	$\log (1.05 \cdot 10^{28})$
37753	Expand the Logarithmic Expression	log of 1.18*10^51	$\log (1.18 \cdot 10^{51})$
37754	Expand the Logarithmic Expression	log of 1.28*10^27	$\log (1.28 \cdot 10^{27})$
37755	Expand the Logarithmic Expression	log of 1.47*10^33	$\log (1.47 \cdot 10^{33})$
37756	Expand the Logarithmic Expression	- log of 1.6*10^-2	$- \log (1.6 \cdot 10^{- 2})$
37757	Expand the Logarithmic Expression	log of 1.68(10^31)	$\log (1.68 (10^{31}))$
37758	Expand the Logarithmic Expression	log of 1.69*10^46	$\log (1.69 \cdot 10^{46})$
37759	Expand the Logarithmic Expression	log of 10(20x^2-31x-7)	$\log (10 (20 x^{2} - 31 x - 7))$
37760	Expand the Logarithmic Expression	log of 0.8	$\log (0.8)$
37761	Expand the Logarithmic Expression	log of 10000x^2y^4	$\log (10000 x^{2} y^{4})$
37762	Expand the Logarithmic Expression	log of 1000x^4	$\log (1000) x^{4}$
37763	Expand the Logarithmic Expression	log of 100x^4y^6	$\log (100 x^{4} y^{6})$
37764	Expand the Logarithmic Expression	log of 10((xy^4)/(z^5))	$\log (10) (\frac{x y^{4}}{z^{5}})$
37765	Expand the Logarithmic Expression	log of 10*77	$\log (10) \cdot 77$
37766	Expand the Logarithmic Expression	log of 10 square root of 10	$\log (10) \sqrt{10}$
37767	Expand the Logarithmic Expression	log of 10+10z	$\log (10) + 10 z$
37768	Expand the Logarithmic Expression	- log of 10-3.6	$- \log (10) - 3.6$
37769	Write in Exponential Form	natural log of 5357/4653=0.05t natural log of e	$\ln (\frac{5357}{4653}) = 0.05 t \ln (e)$
37770	Write in Exponential Form	natural log of e^x=16.2	$\ln (e^{x}) = 16.2$
37771	Simplify	csc(theta)(csc(theta)+sin(-theta))	$\csc (θ) (\csc (θ) + \sin (- θ))$
37772	Write in Exponential Form	natural log of pi/100=-h/k	$\ln (\frac{π}{100}) = - \frac{h}{k}$
37773	Write in Exponential Form	natural log of square root of x=6.5	$\ln (\sqrt{x}) = 6.5$
37774	Write in Exponential Form	natural log of 0.29 = natural log of e^(-0.000121t)	$\ln (0.29) = \ln (e^{- 0.000121 t})$
37775	Write in Exponential Form	natural log of 0.722 = natural log of e^(-0.52912t)	$\ln (0.722) = \ln (e^{- 0.52912 t})$
37776	Write in Exponential Form	natural log of 21 = natural log of x-2- natural log of 21	$\ln (21) = \ln (x - 2) - \ln (21)$
37777	Write in Exponential Form	natural log of 2x-3 = natural log of 3- natural log of x-1	$\ln (2 x - 3) = \ln (3) - \ln (x - 1)$
37778	Write in Exponential Form	natural log of 3x-1 = natural log of 4- natural log of x-4	$\ln (3 x - 1) = \ln (4) - \ln (x - 4)$
37779	Write in Exponential Form	natural log of 47+x = log of -40-x	$\ln (47 + x) = \log (- 40 - x)$
37780	Write in Exponential Form	natural log of 4x+13=3	$\ln (4 x + 13) = 3$
37781	Write in Exponential Form	natural log of 5=3x	$\ln (5) = 3 x$
37782	Write in Exponential Form	natural log of 5a=1.9	$\ln (5 a) = 1.9$
37783	Write in Exponential Form	natural log of 5x=3	$\ln (5 x) = 3$
37784	Write in Exponential Form	natural log of 5x-1=2	$\ln (5 x - 1) = 2$
37785	Write in Exponential Form	natural log of 7x+2=5	$\ln (7 x + 2) = 5$
37786	Write in Exponential Form	natural log of m+ natural log of n=m	$\ln (m) + \ln (n) = m$
37787	Write in Exponential Form	natural log of x=6 natural log of y	$\ln (x) = 6 \ln (y)$
37788	Write in Exponential Form	2 log of x+4 = log of 48+ log of 3	$2 \log (x + 4) = \log (48) + \log (3)$
37789	Write in Exponential Form	log base 3 of \|2x-9\|=4	$\log_{3} (\| 2 x - 9 \|) = 4$
37790	Write in Exponential Form	-3 log base 4 of 4x=-6	$- 3 \log_{4} (4 x) = - 6$
37791	Write in Exponential Form	m = log base g of 6	$m = \log_{g} (6)$
37792	Write in Exponential Form	n=-5 natural log of 0.92/P-1	$n = - 5 \ln (\frac{0.92}{P} - 1)$
37793	Write in Exponential Form	p = log base 6 of 8	$p = \log_{6} (8)$
37794	Write in Exponential Form	ph=-1 log of 0.1	$p h = - 1 \log (0.1)$
37795	Write in Exponential Form	pH=- log of 1.6	$p H = - \log (1.6)$
37796	Graph	(x^2)/25+(y^2)/25=1	$\frac{x^{2}}{25} + \frac{y^{2}}{25} = 1$
37797	Write in Exponential Form	t(45)=75+110e^((45/30) natural log of 15/22)	$t (45) = 75 + 110 e^{(\frac{45}{30}) \ln (\frac{15}{22})}$
37798	Write in Exponential Form	u(6)=39-29e^(( natural log of 22/29)/4*11)	$u (6) = 39 - 29 e^{\frac{\ln (\frac{22}{29})}{4} \cdot 11}$
37799	Write in Exponential Form	x=( log of 4)/(4* log of 1.63)	$x = \frac{\log (4)}{4 \cdot \log (1.63)}$
37800	Write in Exponential Form	x = log base 5 of 1/125	$x = \log_{5} (\frac{1}{125})$