Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39601	Expand the Logarithmic Expression	log base 7 of 7^(4x)	$\log_{7} (7^{4 x})$
39602	Expand the Logarithmic Expression	log base 7 of (7pi)/(4k)	$\log_{7} (\frac{7 π}{4 k})$
39603	Expand the Logarithmic Expression	log base 7 of AB^2	$\log_{7} (A B^{2})$
39604	Expand the Logarithmic Expression	log base 7 of c^4 square root of a	$\log_{7} (c^{4} \sqrt{a})$
39605	Expand the Logarithmic Expression	log base 7 of u^6v^2	$\log_{7} (u^{6} v^{2})$
39606	Expand the Logarithmic Expression	log base 7 of square root of x/z	$\log_{7} (\sqrt{\frac{x}{z}})$
39607	Expand the Logarithmic Expression	log base 6 of 9+ log base 6 of 4	$\log_{6} (9) + \log_{6} (4)$
39608	Expand the Logarithmic Expression	log base 6 of 92	$\log_{6} (92)$
39609	Expand the Logarithmic Expression	log base 6 of 7*9	$\log_{6} (7 \cdot 9)$
39610	Expand the Logarithmic Expression	log base 6 of 7x	$\log_{6} (7 x)$
39611	Expand the Logarithmic Expression	log base 6 of 5(2y-3)	$\log_{6} (5 (2 y - 3))$
39612	Expand the Logarithmic Expression	log base 6 of 5+ log base 5 of 36	$\log_{6} (5) + \log_{5} (36)$
39613	Expand the Logarithmic Expression	log base 6 of 50	$\log_{6} (50)$
39614	Expand the Logarithmic Expression	log base 6 of 532	$\log_{6} (532)$
39615	Expand the Logarithmic Expression	log base 6 of 5w	$\log_{6} (5 w)$
39616	Expand the Logarithmic Expression	log base 6 of 6- log base 6 of y	$\log_{6} (6) - \log_{6} (y)$
39617	Expand the Logarithmic Expression	log base 6 of 6 square root of 5/( square root of 6)	$\log_{6} (6 \sqrt{\frac{5}{\sqrt{6}}})$
39618	Expand the Logarithmic Expression	log base 6 of 6 square root of 6	$\log_{6} (6 \sqrt{6})$
39619	Expand the Logarithmic Expression	log base 7 of square root of y/49	$\log_{7} (\sqrt{\frac{y}{49}})$
39620	Expand the Logarithmic Expression	log base 7 of ( sixth root of x seventh root of y)/(z^11)	$\log_{7} (\frac{\sqrt[6]{x} \sqrt[7]{y}}{z^{11}})$
39621	Expand the Logarithmic Expression	log base 7 of (x^2y)/z	$\log_{7} (\frac{x^{2} y}{z})$
39622	Expand the Logarithmic Expression	log base 7 of (e^(2x)(x+1)^7)/((x^2+4)(x-3)^(1/3))	$\log_{7} (\frac{e^{2 x} {(x + 1)}^{7}}{(x^{2} + 4) {(x - 3)}^{\frac{1}{3}}})$
39623	Expand the Logarithmic Expression	log base 7 of ( square root of y)/(5z^2)	$\log_{7} (\frac{\sqrt{y}}{5 z^{2}})$
39624	Expand the Logarithmic Expression	log base 7 of (6 square root of x)/y	$\log_{7} (\frac{6 \sqrt{x}}{y})$
39625	Expand the Logarithmic Expression	log base 7 of ((2x-1)^5(x+1)^2)/((3x-2)^3)	$\log_{7} (\frac{{(2 x - 1)}^{5} {(x + 1)}^{2}}{{(3 x - 2)}^{3}})$
39626	Expand the Logarithmic Expression	log base 7 of (a^7)/(b^6c)	$\log_{7} (\frac{a^{7}}{b^{6} c})$
39627	Expand the Logarithmic Expression	log base 7 of ( square root of a^2b)/(c^5)	$\log_{7} (\frac{\sqrt{a^{2} b}}{c^{5}})$
39628	Expand the Logarithmic Expression	log base 7 of ( square root of x^2y^3)/343	$\log_{7} (\frac{\sqrt{x^{2} y^{3}}}{343})$
39629	Expand the Logarithmic Expression	log base 7 of ( square root of x)/(x^11)	$\log_{7} (\frac{\sqrt{x}}{x^{11}})$
39630	Expand the Logarithmic Expression	log base 7 of ( square root of x)/4	$\log_{7} (\frac{\sqrt{x}}{4})$
39631	Expand the Logarithmic Expression	log base 7 of ( cube root of m fifth root of n)/(k^2)	$\log_{7} (\frac{\sqrt[3]{m} \sqrt[5]{n}}{k^{2}})$
39632	Expand the Logarithmic Expression	log base 7 of ( cube root of y)/(zx^5)	$\log_{7} (\frac{\sqrt[3]{y}}{z x^{5}})$
39633	Expand the Logarithmic Expression	log base 7 of ( fourth root of 9)/(y^2x)	$\log_{7} (\frac{\sqrt[4]{9}}{y^{2} x})$
39634	Expand the Logarithmic Expression	log base 7 of ( fifth root of 17)/(y^2x)	$\log_{7} (\frac{\sqrt[5]{17}}{y^{2} x})$
39635	Expand the Logarithmic Expression	log base 7 of ( seventh root of x^4y)/49	$\log_{7} (\frac{\sqrt[7]{x^{4} y}}{49})$
39636	Expand the Logarithmic Expression	log base 7 of ( seventh root of a^2b)/49	$\log_{7} (\frac{\sqrt[7]{a^{2} b}}{49})$
39637	Expand the Logarithmic Expression	log base 7 of (x^19)/(y^17z^3)	$\log_{7} (\frac{x^{19}}{y^{17} z^{3}})$
39638	Expand the Logarithmic Expression	log base 7 of (x^2)/y	$\log_{7} (\frac{x^{2}}{y})$
39639	Expand the Logarithmic Expression	log base 7 of (x^3)/( fourth root of y)	$\log_{7} (\frac{x^{3}}{\sqrt[4]{y}})$
39640	Expand the Logarithmic Expression	log base 7 of (x^3)/(x-6)	$\log_{7} (\frac{x^{3}}{x - 6})$
39641	Expand the Logarithmic Expression	log base 7 of (x^5)/4	$\log_{7} (\frac{x^{5}}{4})$
39642	Expand the Logarithmic Expression	log base 6 of x/4	$\log_{6} (\frac{x}{4})$
39643	Expand the Logarithmic Expression	log base 6 of x^2y2	$\log_{6} (x^{2} \cdot y) \cdot 2$
39644	Expand the Logarithmic Expression	log base 6 of (x^2 cube root of y)/(z^4)	$\log_{6} (\frac{x^{2} \sqrt[3]{y}}{z^{4}})$
39645	Expand the Logarithmic Expression	log base 6 of x^2-36	$\log_{6} (x^{2} - 36)$
39646	Expand the Logarithmic Expression	log base 6 of x^-3	$\log_{6} (x^{- 3})$
39647	Expand the Logarithmic Expression	log base 6 of x^4y^2z	$\log_{6} (x^{4} y^{2} z)$
39648	Expand the Logarithmic Expression	log base 6 of x^5	$\log_{6} (x^{5})$
39649	Expand the Logarithmic Expression	log base 6 of x^5y^3z^2	$\log_{6} (x^{5} y^{3} z^{2})$
39650	Expand the Logarithmic Expression	log base 6 of x^7	$\log_{6} (x^{7})$
39651	Expand the Logarithmic Expression	log base 6 of x^9 square root of y/(z^7)	$\log_{6} (x^{9}) \sqrt{\frac{y}{z^{7}}}$
39652	Expand the Logarithmic Expression	log base 6 of (x-7)/(x^6)	$\log_{6} (\frac{x - 7}{x^{6}})$
39653	Expand the Logarithmic Expression	log base 6 of y/2	$\log_{6} (\frac{y}{2})$
39654	Expand the Logarithmic Expression	log base 6 of z^2	$\log_{6} (z^{2})$
39655	Expand the Logarithmic Expression	log base 6 of z^2 square root of x	$\log_{6} (z^{2} \sqrt{x})$
39656	Expand the Logarithmic Expression	log base 6 of z^-3	$\log_{6} (z^{- 3})$
39657	Expand the Logarithmic Expression	log base 6 of square root of x- log base 6 of x^9	$\log_{6} (\sqrt{x}) - \log_{6} (x^{9})$
39658	Expand the Logarithmic Expression	log base 6 of cube root of (x^2y)/36	$\log_{6} (\sqrt[3]{\frac{x^{2} y}{36}})$
39659	Expand the Logarithmic Expression	log base 6 of (xy^6)/(z^4)	$\log_{6} (\frac{x y^{6}}{z^{4}})$
39660	Expand the Logarithmic Expression	log base 6 of 1/(z^9)	$\log_{6} (\frac{1}{z^{9}})$
39661	Expand the Logarithmic Expression	log base 6 of 1/16	$\log_{6} (\frac{1}{16})$
39662	Expand the Logarithmic Expression	log base 6 of 25/14	$\log_{6} (\frac{25}{14})$
39663	Expand the Logarithmic Expression	log base 6 of 3/2	$\log_{6} (\frac{3}{2})$
39664	Expand the Logarithmic Expression	log base 6 of (36 fifth root of x+3)/(6x^2-13x-5)	$\log_{6} (\frac{36 \sqrt[5]{x + 3}}{6 x^{2} - 13 x - 5})$
39665	Expand the Logarithmic Expression	log base 6 of 43/13	$\log_{6} (\frac{43}{13})$
39666	Expand the Logarithmic Expression	log base 6 of (5x^3)/6	$\log_{6} (\frac{5 x^{3}}{6})$
39667	Expand the Logarithmic Expression	log base 6 of 5/y	$\log_{6} (\frac{5}{y})$
39668	Expand the Logarithmic Expression	log base 6 of 11w	$\log_{6} (11 w)$
39669	Expand the Logarithmic Expression	log base 6 of 12	$\log_{6} (12)$
39670	Expand the Logarithmic Expression	log base 6 of 12*23	$\log_{6} (12 \cdot 23)$
39671	Expand the Logarithmic Expression	log base 6 of 12xy^3	$\log_{6} (12 x y^{3})$
39672	Expand the Logarithmic Expression	log base 6 of 12x	$\log_{6} (12 x)$
39673	Expand the Logarithmic Expression	log base 6 of 17x^6	$\log_{6} (17 x^{6})$
39674	Expand the Logarithmic Expression	log base 6 of 25	$\log_{6} (25)$
39675	Expand the Logarithmic Expression	log base 6 of -28	$\log_{6} (- 28)$
39676	Expand the Logarithmic Expression	log base 6 of 3*2	$\log_{6} (3 \cdot 2)$
39677	Expand the Logarithmic Expression	log base 6 of 325^6	$\log_{6} (3 \cdot 2 \cdot 5^{6})$
39678	Expand the Logarithmic Expression	log base 6 of (3(xy))/z	$\log_{6} (\frac{3 (x y)}{z})$
39679	Expand the Logarithmic Expression	log base 6 of 31	$\log_{6} (31)$
39680	Expand the Logarithmic Expression	log base 6 of 343x^3	$\log_{6} (343 x^{3})$
39681	Expand the Logarithmic Expression	log base 6 of 35	$\log_{6} (35)$
39682	Expand the Logarithmic Expression	log base 6 of z^4- log base 6 of 36^4	$\log_{6} (z^{4}) - \log_{6} (36^{4})$
39683	Expand the Logarithmic Expression	( log base 6 of 0*1)/(z^3)	$\frac{\log_{6} (0) \cdot 1}{z^{3}}$
39684	Expand the Logarithmic Expression	log base 6 of ninth root of (x^2y)/36	$\log_{6} (\sqrt[9]{\frac{x^{2} y}{36}})$
39685	Expand the Logarithmic Expression	log base 6 of ninth root of (x^8y)/36	$\log_{6} (\sqrt[9]{\frac{x^{8} y}{36}})$
39686	Expand the Logarithmic Expression	log base 6 of w^3 square root of u	$\log_{6} (w^{3} \sqrt{u})$
39687	Expand the Logarithmic Expression	log base 6 of (x(x+6))/((x+3)^6)	$\log_{6} (\frac{x (x + 6)}{{(x + 3)}^{6}})$
39688	Expand the Logarithmic Expression	log base 6 of fourth root of 4x^3	$\log_{6} (\sqrt[4]{4 x^{3}})$
39689	Expand the Logarithmic Expression	log base 6 of fifth root of 216	$\log_{6} (\sqrt[5]{216})$
39690	Expand the Logarithmic Expression	log base 6 of sixth root of (x^7)/(y^6z^7)	$\log_{6} (\sqrt[6]{\frac{x^{7}}{y^{6} z^{7}}})$
39691	Expand the Logarithmic Expression	log base 6 of seventh root of (x^4y)/36	$\log_{6} (\sqrt[7]{\frac{x^{4} y}{36}})$
39692	Expand the Logarithmic Expression	log base 8 of square root of 13/10	$\log_{8} (\sqrt{\frac{13}{10}})$
39693	Expand the Logarithmic Expression	log base 8 of square root of x/y	$\log_{8} (\sqrt{\frac{x}{y}})$
39694	Expand the Logarithmic Expression	log base 8 of x^3 square root of 1-y^2	$\log_{8} (x^{3} \sqrt{1 - y^{2}})$
39695	Expand the Logarithmic Expression	log base 8 of x^5	$\log_{8} (x^{5})$
39696	Expand the Logarithmic Expression	log base 8 of x^7	$\log_{8} (x^{7})$
39697	Expand the Logarithmic Expression	log base 8 of xy^(5 cube root of z)	$\log_{8} (x y^{5 \sqrt[3]{z}})$
39698	Expand the Logarithmic Expression	log base 8 of y/7	$\log_{8} (\frac{y}{7})$
39699	Expand the Logarithmic Expression	log base 8 of 0	$\log_{8} (0)$
39700	Expand the Logarithmic Expression	log base 8 of 0.66	$\log_{8} (0.66)$