Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38701	Expand the Logarithmic Expression	( natural log of x)/( natural log of -1.5)	$\frac{\ln (x)}{\ln (- 1.5)}$
38702	Expand the Logarithmic Expression	log of (MN)^3	$\log ({(M N)}^{3})$
38703	Expand the Logarithmic Expression	( log of x)/( log of y)	$\frac{\log (x)}{\log (y)}$
38704	Expand the Logarithmic Expression	log of (xy)^2	$\log ({(x y)}^{2})$
38705	Expand the Logarithmic Expression	( log of 9)/9	$\frac{\log (9)}{9}$
38706	Expand the Logarithmic Expression	( natural log of 9)/( natural log of 27/8)	$\frac{\ln (9)}{\ln (\frac{27}{8})}$
38707	Expand the Logarithmic Expression	natural log of (9t+4)^5500	$\ln ({(9 t + 4)}^{5500})$
38708	Expand the Logarithmic Expression	natural log of (x)^2	$\ln ({(x)}^{2})$
38709	Expand the Logarithmic Expression	natural log of (x-1/4)^2	$\ln ({(x - \frac{1}{4})}^{2})$
38710	Expand the Logarithmic Expression	natural log of (x+7)^6	$\ln ({(x + 7)}^{6})$
38711	Expand the Logarithmic Expression	log of (xy)^4	$\log ({(x y)}^{4})$
38712	Expand the Logarithmic Expression	log of (y)^16	$\log ({(y)}^{16})$
38713	Expand the Logarithmic Expression	log of (z)^13	$\log ({(z)}^{13})$
38714	Expand the Logarithmic Expression	log base 0.1666666667 of 9	$\log_{0.1\overline{6}} (9)$
38715	Expand the Logarithmic Expression	log base 0.2 of 1/25	$\log_{0.2} (\frac{1}{25})$
38716	Expand the Logarithmic Expression	log base 0.2 of square root of 5	$\log_{0.2} (\sqrt{5})$
38717	Expand the Logarithmic Expression	log base 0.25 of 4	$\log_{0.25} (4)$
38718	Expand the Logarithmic Expression	log of (a)^(x^2)yz^2	$\log ({(a)}^{x^{2}} y z^{2})$
38719	Expand the Logarithmic Expression	log of (AB)^2	$\log ({(A B)}^{2})$
38720	Expand the Logarithmic Expression	log of (abcd)^(1/7)	$\log ({(a b c d)}^{\frac{1}{7}})$
38721	Expand the Logarithmic Expression	log of (b)^(( square root of xy^3)/(z^4))	$\log ({(b)}^{\frac{\sqrt{x y^{3}}}{z^{4}}})$
38722	Expand the Logarithmic Expression	log of 10^(2x)	$\log (10^{2 x})$
38723	Expand the Logarithmic Expression	log of 4/6.4	$\log (\frac{4}{6.4})$
38724	Expand the Logarithmic Expression	log of 7/z	$\log (\frac{7}{z})$
38725	Expand the Logarithmic Expression	log of (7m)/(5n)	$\log (\frac{7 m}{5 n})$
38726	Expand the Logarithmic Expression	log of t/12	$\log (\frac{t}{12})$
38727	Expand the Logarithmic Expression	log of 1/7	$\log (\frac{1}{7})$
38728	Expand the Logarithmic Expression	log of 0.000001	$\log (0.000001)$
38729	Expand the Logarithmic Expression	log of cube root of (10+x)/(100x)	$\log (\sqrt[3]{\frac{10 + x}{100 x}})$
38730	Expand the Logarithmic Expression	log of x^2-16	$\log (x^{2} - 16)$
38731	Expand the Logarithmic Expression	log of x^5y^2	$\log (x^{5} y^{2})$
38732	Expand the Logarithmic Expression	log base 17 of ( fifth root of 18)/(q^2p)	$\log_{17} (\frac{\sqrt[5]{18}}{q^{2} p})$
38733	Expand the Logarithmic Expression	log base 17 of ( seventh root of 6)/(y^2x)	$\log_{17} (\frac{\sqrt[7]{6}}{y^{2} x})$
38734	Expand the Logarithmic Expression	log base 17 of (13 square root of r)/s	$\log_{17} (\frac{13 \sqrt{r}}{s})$
38735	Expand the Logarithmic Expression	log base 18 of 14	$\log_{18} (14)$
38736	Expand the Logarithmic Expression	log base 19 of 3/11	$\log_{19} (\frac{3}{11})$
38737	Expand the Logarithmic Expression	( log base 19 of 1(5 square root of x))/y	$\frac{\log_{19} (1) (5 \sqrt{x})}{y}$
38738	Expand the Logarithmic Expression	log base 2.45 of 72.4	$\log_{2.45} (72.4)$
38739	Expand the Logarithmic Expression	log base 2.5 of 88	$\log_{2.5} (88)$
38740	Expand the Logarithmic Expression	log base 2 of (6a)/y	$\log_{2} (\frac{6 a}{y})$
38741	Expand the Logarithmic Expression	log base 2 of (2 square root of 3)/5	$\log_{2} (\frac{2 \sqrt{3}}{5})$
38742	Expand the Logarithmic Expression	log base 2 of (2x^3)(x+1)	$\log_{2} ((2 x^{3}) (x + 1))$
38743	Expand the Logarithmic Expression	log base 2 of (x^2y)/z	$\log_{2} (\frac{x^{2} y}{z})$
38744	Expand the Logarithmic Expression	log base 2 of (2p)/(5k)	$\log_{2} (\frac{2 p}{5 k})$
38745	Expand the Logarithmic Expression	log base 2 of (2x)^3(x+1)	$\log_{2} ({(2 x)}^{3} (x + 1))$
38746	Expand the Logarithmic Expression	log base 2 of (4x^3)/(x^2-3x-18)	$\log_{2} (\frac{4 x^{3}}{x^{2} - 3 x - 18})$
38747	Expand the Logarithmic Expression	log base 2 of (8 square root of x)/(y^2)	$\log_{2} (\frac{8 \sqrt{x}}{y^{2}})$
38748	Expand the Logarithmic Expression	log base 2 of (8x^4)/5	$\log_{2} (\frac{8 x^{4}}{5})$
38749	Expand the Logarithmic Expression	log base 2 of (x-1)^(3/2)(x+4)^(5/2)	$\log_{2} ({(x - 1)}^{\frac{3}{2}} {(x + 4)}^{\frac{5}{2}})$
38750	Expand the Logarithmic Expression	log base 2 of (a^3)/(b^2)	$\log_{2} (\frac{a^{3}}{b^{2}})$
38751	Expand the Logarithmic Expression	log base 2 of ( square root of 32x^7)/( sixth root of 4y^3)	$\log_{2} (\frac{\sqrt{32 x^{7}}}{\sqrt[6]{4 y^{3}}})$
38752	Expand the Logarithmic Expression	log base 2 of ( square root of 4x^6)/( sixth root of 32y^3)	$\log_{2} (\frac{\sqrt{4 x^{6}}}{\sqrt[6]{32 y^{3}}})$
38753	Expand the Logarithmic Expression	log base 2 of ( square root of a-1)/3	$\log_{2} (\frac{\sqrt{a - 1}}{3})$
38754	Expand the Logarithmic Expression	log of 10z	$\log (10) z$
38755	Expand the Logarithmic Expression	log of 3 square root of 7/(q^(2p))	$\log (3 \sqrt{\frac{7}{q^{2 p}}})$
38756	Expand the Logarithmic Expression	log of 4cos(10^(-x^2))	$\log (4 \cos (10^{- x^{2}}))$
38757	Expand the Logarithmic Expression	log of 9- log of 3	$\log (9) - \log (3)$
38758	Expand the Logarithmic Expression	log base 1000 of 55	$\log_{1000} (55)$
38759	Expand the Logarithmic Expression	log base 1000 of 65	$\log_{1000} (65)$
38760	Expand the Logarithmic Expression	log base 1000 of a	$\log_{1000} (a)$
38761	Expand the Logarithmic Expression	log base 11 of (11( square root of 2))/(3x)	$\log_{11} (\frac{11 (\sqrt{2})}{3 x})$
38762	Expand the Logarithmic Expression	log base 11 of ab^-4c^12d^7	$\log_{11} (a b^{- 4} c^{12} d^{7})$
38763	Expand the Logarithmic Expression	log base 11 of 121y^3	$\log_{11} (121 y^{3})$
38764	Expand the Logarithmic Expression	log base 11 of ab-4c^12d^7	$\log_{11} (a b - 4 c^{12} d^{7})$
38765	Expand the Logarithmic Expression	log base 12 of 13/7	$\log_{12} (\frac{13}{7})$
38766	Expand the Logarithmic Expression	log base 12 of 12x	$\log_{12} (12 x)$
38767	Expand the Logarithmic Expression	log base 12 of 18	$\log_{12} (18)$
38768	Expand the Logarithmic Expression	log base 12 of 2+ log base 12 of 6	$\log_{12} (2) + \log_{12} (6)$
38769	Expand the Logarithmic Expression	log base 12 of 3x	$\log_{12} (3 x)$
38770	Expand the Logarithmic Expression	log base 13 of ( fifth root of 18)/(s^2r)	$\log_{13} (\frac{\sqrt[5]{18}}{s^{2} r})$
38771	Expand the Logarithmic Expression	log base 13 of 1/(13 root of 13)	$\log_{13} (\frac{1}{\sqrt[13]{13}})$
38772	Expand the Logarithmic Expression	log base 13 of (5 square root of 18)/(s^2r)	$\log_{13} (\frac{5 \sqrt{18}}{s^{2} r})$
38773	Expand the Logarithmic Expression	log base 13 of x^13	$\log_{13} (x^{13})$
38774	Expand the Logarithmic Expression	log base 2 of (x^2y)/(z^8)	$\log_{2} (\frac{x^{2} y}{z^{8}})$
38775	Expand the Logarithmic Expression	log base 2 of (x^3)/(yz^4)	$\log_{2} (\frac{x^{3}}{y z^{4}})$
38776	Expand the Logarithmic Expression	log base 2 of ( sixth root of x^2-x-42)/(2x)	$\log_{2} (\frac{\sqrt[6]{x^{2} - x - 42}}{2 x})$
38777	Expand the Logarithmic Expression	log base 2 of ( seventh root of s^2t)/4	$\log_{2} (\frac{\sqrt[7]{s^{2} t}}{4})$
38778	Expand the Logarithmic Expression	log base 2 of ( square root of x)/4	$\log_{2} (\frac{\sqrt{x}}{4})$
38779	Expand the Logarithmic Expression	log base 2 of ( fourth root of x^3y)/4	$\log_{2} (\frac{\sqrt[4]{x^{3} y}}{4})$
38780	Expand the Logarithmic Expression	log base 2 of ( fourth root of x)/(a^4)	$\log_{2} (\frac{\sqrt[4]{x}}{a^{4}})$
38781	Expand the Logarithmic Expression	log base 16 of (9 square root of m)/n	$\log_{16} (\frac{9 \sqrt{m}}{n})$
38782	Expand the Logarithmic Expression	log base 16 of cube root of 13/(q^2p)	$\log_{16} (\sqrt[3]{\frac{13}{q^{2} p}})$
38783	Expand the Logarithmic Expression	log base 13 of 88.5	$\log_{13} (88.5)$
38784	Expand the Logarithmic Expression	log base 13 of ab	$\log_{13} (a b)$
38785	Expand the Logarithmic Expression	log base 14 of (11 square root of r)/s	$\log_{14} (\frac{11 \sqrt{r}}{s})$
38786	Expand the Logarithmic Expression	log base 15 of (2 square root of m)/n	$\log_{15} (\frac{2 \sqrt{m}}{n})$
38787	Expand the Logarithmic Expression	log base 15 of square root of 15	$\log_{15} (\sqrt{15})$
38788	Expand the Logarithmic Expression	log base 15 of fourth root of 11/(y^2x)	$\log_{15} (\sqrt[4]{\frac{11}{y^{2} x}})$
38789	Expand the Logarithmic Expression	log base 15 of (11( square root of x))/y	$\log_{15} (\frac{11 (\sqrt{x})}{y})$
38790	Expand the Logarithmic Expression	log base 15 of 15x	$\log_{15} (15 x)$
38791	Expand the Logarithmic Expression	log base 15 of 16	$\log_{15} (16)$
38792	Expand the Logarithmic Expression	log base 16 of ( seventh root of 9)/(y^2x)	$\log_{16} (\frac{\sqrt[7]{9}}{y^{2} x})$
38793	Expand the Logarithmic Expression	log base 16 of (11 square root of r)/s	$\log_{16} (\frac{11 \sqrt{r}}{s})$
38794	Expand the Logarithmic Expression	log base 2 of 4^2*3^4	$\log_{2} (4^{2} \cdot 3^{4})$
38795	Expand the Logarithmic Expression	log base 2 of 5^2*4^5	$\log_{2} (5^{2} \cdot 4^{5})$
38796	Expand the Logarithmic Expression	log base 2 of 59/(2x)	$\log_{2} (\frac{59}{2 x})$
38797	Expand the Logarithmic Expression	log base 2 of (x^2 square root of y)/4	$\log_{2} (\frac{x^{2} \sqrt{y}}{4})$
38798	Expand the Logarithmic Expression	log base 2 of (x^2)/(y^6)	$\log_{2} (\frac{x^{2}}{y^{6}})$
38799	Expand the Logarithmic Expression	log base 2 of 2^(9x)	$\log_{2} (2^{9 x})$
38800	Expand the Logarithmic Expression	log base 2 of (2pi)/(7k)	$\log_{2} (\frac{2 π}{7 k})$