Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39301	Expand the Logarithmic Expression	log base 2 of x^2-2x-63	$\log_{2} (x^{2} - 2 x - 63)$
39302	Expand the Logarithmic Expression	log base 2 of x^3y^-1	$\log_{2} (x^{3} y^{- 1})$
39303	Expand the Logarithmic Expression	log base 2 of x^4 square root of y/(z^3)	$\log_{2} (x^{4}) \sqrt{\frac{y}{z^{3}}}$
39304	Expand the Logarithmic Expression	log base 2 of x^4 square root of x^2-5	$\log_{2} (x^{4} \sqrt{x^{2} - 5})$
39305	Expand the Logarithmic Expression	log base 2 of x^4y^7	$\log_{2} (x^{4} y^{7})$
39306	Expand the Logarithmic Expression	log base 2 of A/16	$\log_{2} (\frac{A}{16})$
39307	Expand the Logarithmic Expression	log base 2 of a^2b^4	$\log_{2} (a^{2} b^{4})$
39308	Expand the Logarithmic Expression	log base 2 of a^6b^4	$\log_{2} (a^{6} b^{4})$
39309	Expand the Logarithmic Expression	log base 2 of (ab)/c	$\log_{2} (\frac{a b}{c})$
39310	Expand the Logarithmic Expression	log base 2 of (6x)/y	$\log_{2} (\frac{6 x}{y})$
39311	Expand the Logarithmic Expression	log base 2 of 8/( square root of x+5)	$\log_{2} (\frac{8}{\sqrt{x} + 5})$
39312	Expand the Logarithmic Expression	log base 2 of 8/( square root of x+7)	$\log_{2} (\frac{8}{\sqrt{x + 7}})$
39313	Expand the Logarithmic Expression	log base 2 of u^3v^4	$\log_{2} (u^{3} v^{4})$
39314	Expand the Logarithmic Expression	log base 2 of square root of (q^2k^4)/(zw^5)	$\log_{2} (\sqrt{\frac{q^{2} k^{4}}{z w^{5}}})$
39315	Expand the Logarithmic Expression	log base 2 of square root of (xy^4)/(z^4)	$\log_{2} (\sqrt{\frac{x y^{4}}{z^{4}}})$
39316	Expand the Logarithmic Expression	log base 2 of square root of y/x	$\log_{2} (\sqrt{\frac{y}{x}})$
39317	Expand the Logarithmic Expression	log base 2 of square root of x/4	$\log_{2} (\sqrt{\frac{x}{4}})$
39318	Expand the Logarithmic Expression	log base 2 of square root of (x-3)/(x+3)	$\log_{2} (\sqrt{\frac{x - 3}{x + 3}})$
39319	Expand the Logarithmic Expression	log base 2 of square root of (x-9)/(x+9)	$\log_{2} (\sqrt{\frac{x - 9}{x + 9}})$
39320	Expand the Logarithmic Expression	log base 2 of square root of xy^3	$\log_{2} (\sqrt{x y^{3}})$
39321	Expand the Logarithmic Expression	log base 2 of square root of t	$\log_{2} (\sqrt{t})$
39322	Expand the Logarithmic Expression	log base 2 of square root of x- log base 2 of (x)^2	$\log_{2} (\sqrt{x}) - \log_{2} ({(x)}^{2})$
39323	Expand the Logarithmic Expression	log base 2 of square root of x- log base 2 of x^5	$\log_{2} (\sqrt{x}) - \log_{2} (x^{5})$
39324	Expand the Logarithmic Expression	log base 2 of cube root of (16(x+1))/((x^2+9)(x+3))	$\log_{2} (\sqrt[3]{\frac{16 (x + 1)}{(x^{2} + 9) (x + 3)}})$
39325	Expand the Logarithmic Expression	log base 2 of cube root of (s^2t)/4	$\log_{2} (\sqrt[3]{\frac{s^{2} t}{4}})$
39326	Expand the Logarithmic Expression	log base 2 of fourth root of (2+x)/8	$\log_{2} (\sqrt[4]{\frac{2 + x}{8}})$
39327	Expand the Logarithmic Expression	log base 2 of 32x^8	$\log_{2} (32 x^{8})$
39328	Expand the Logarithmic Expression	log base 2 of (3x( cube root of yz))/(p^3q^7)	$\log_{2} (\frac{3 x (\sqrt[3]{y z})}{p^{3} q^{7}})$
39329	Expand the Logarithmic Expression	log base 2 of 3x-2	$\log_{2} (3 x - 2)$
39330	Expand the Logarithmic Expression	log base 2 of 3x-5	$\log_{2} (3 x - 5)$
39331	Expand the Logarithmic Expression	log base 2 of 3xy	$\log_{2} (3 x y)$
39332	Expand the Logarithmic Expression	log base 2 of 4* log base 4 of 6* log base 6 of 8* log base 14 of 16	$\log_{2} (4) \cdot \log_{4} (6) \cdot \log_{6} (8) \cdot \log_{14} (16)$
39333	Expand the Logarithmic Expression	log base 2 of 4x^2y	$\log_{2} (4 x^{2} y)$
39334	Expand the Logarithmic Expression	log base 2 of 40- log base 2 of 5	$\log_{2} (40) - \log_{2} (5)$
39335	Expand the Logarithmic Expression	log base 2 of 48x+80y	$\log_{2} (48 x + 80 y)$
39336	Expand the Logarithmic Expression	log base 2 of 5*3	$\log_{2} (5 \cdot 3)$
39337	Expand the Logarithmic Expression	log base 2 of 5x^2	$\log_{2} (5 x^{2})$
39338	Expand the Logarithmic Expression	log base 2 of 512	$\log_{2} (512)$
39339	Expand the Logarithmic Expression	log base 2 of 5-2x	$\log_{2} (5 - 2 x)$
39340	Expand the Logarithmic Expression	log base 2 of 1/(32x^4)	$\log_{2} (\frac{1}{32 x^{4}})$
39341	Expand the Logarithmic Expression	log of (2/x)^3	$\log ({(\frac{2}{x})}^{3})$
39342	Expand the Logarithmic Expression	log base 2 of 10x	$\log_{2} (10 x)$
39343	Expand the Logarithmic Expression	log base 2 of 11 cube root of 3	$\log_{2} (11 \sqrt[3]{3})$
39344	Expand the Logarithmic Expression	log base 2 of 125x^3	$\log_{2} (125 x^{3})$
39345	Expand the Logarithmic Expression	log base 2 of 16x+40y	$\log_{2} (16 x + 40 y)$
39346	Expand the Logarithmic Expression	log base 2 of 17x(x-7)	$\log_{2} (17 x (x - 7))$
39347	Expand the Logarithmic Expression	log base 2 of 256-7 log base 2 of 2	$\log_{2} (256) - 7 \log_{2} (2)$
39348	Expand the Logarithmic Expression	log base 2 of 0.5(x+7)^6	$\log_{2} (0.5 {(x + 7)}^{6})$
39349	Expand the Logarithmic Expression	log base 20 of square root of (rs)/17	$\log_{20} (\sqrt{\frac{r s}{17}})$
39350	Expand the Logarithmic Expression	log base 2187 of 27^k	$\log_{2187} (27^{k})$
39351	Expand the Logarithmic Expression	log base 24 of 288	$\log_{24} (288)$
39352	Expand the Logarithmic Expression	log base 24 of 68	$\log_{24} (68)$
39353	Expand the Logarithmic Expression	log base 24 of 7	$\log_{24} (7)$
39354	Expand the Logarithmic Expression	log base 25 of square root of 5	$\log_{25} (\sqrt{5})$
39355	Expand the Logarithmic Expression	log base 25 of 256	$\log_{25} (256)$
39356	Expand the Logarithmic Expression	log base 27 of 1/9	$\log_{27} (\frac{1}{9})$
39357	Expand the Logarithmic Expression	log base 27 of cube root of 1-x	$\log_{27} (\sqrt[3]{1 - x})$
39358	Expand the Logarithmic Expression	log base 3.1416 of 64	$\log_{3.1416} (64)$
39359	Expand the Logarithmic Expression	log base 3.3 of 203	$\log_{3.3} (203)$
39360	Expand the Logarithmic Expression	log base 3 of 27/( square root of x-2)	$\log_{3} (\frac{27}{\sqrt{x - 2}})$
39361	Expand the Logarithmic Expression	log base 3 of 5/(x^2y)	$\log_{3} (\frac{5}{x^{2} y})$
39362	Expand the Logarithmic Expression	log base 3 of 0.33	$\log_{3} (0.33)$
39363	Expand the Logarithmic Expression	log base 3 of ( square root of x^2-6)/( fifth root of 2+x^2)	$\log_{3} (\frac{\sqrt{x^{2} - 6}}{\sqrt[5]{2 + x^{2}}})$
39364	Expand the Logarithmic Expression	log base 3 of ( fourth root of x fifth root of y)/(z^2)	$\log_{3} (\frac{\sqrt[4]{x} \sqrt[5]{y}}{z^{2}})$
39365	Expand the Logarithmic Expression	log base 3 of (4(x-5)^2)/(x^4(x-1)^3)	$\log_{3} (\frac{4 {(x - 5)}^{2}}{x^{4} {(x - 1)}^{3}})$
39366	Expand the Logarithmic Expression	log base 3 of (6 square root of x)/(y^5)	$\log_{3} (\frac{6 \sqrt{x}}{y^{5}})$
39367	Expand the Logarithmic Expression	log base 3 of ((x-2)^3)/(9y)	$\log_{3} (\frac{{(x - 2)}^{3}}{9 y})$
39368	Expand the Logarithmic Expression	log base 3 of (m^2pi)/( fifth root of 3pi-1)	$\log_{3} (\frac{m^{2} π}{\sqrt[5]{3 π - 1}})$
39369	Expand the Logarithmic Expression	log base 3 of (p^2q)/( fifth root of 3q-1)	$\log_{3} (\frac{p^{2} q}{\sqrt[5]{3 q - 1}})$
39370	Expand the Logarithmic Expression	log base 3 of (uv^2)/w	$\log_{3} (\frac{u v^{2}}{w})$
39371	Expand the Logarithmic Expression	log base 3 of ( square root of x^2+9)/(81x^5)	$\log_{3} (\frac{\sqrt{x^{2} + 9}}{81 x^{5}})$
39372	Expand the Logarithmic Expression	log base 3 of ( square root of x^2-2)/( fourth root of 7+x^2)	$\log_{3} (\frac{\sqrt{x^{2} - 2}}{\sqrt[4]{7 + x^{2}}})$
39373	Expand the Logarithmic Expression	log base 3 of ( square root of 27x^5)/( fourth root of 9y^3)	$\log_{3} (\frac{\sqrt{27 x^{5}}}{\sqrt[4]{9 y^{3}}})$
39374	Expand the Logarithmic Expression	log base 3 of ( square root of c)/9	$\log_{3} (\frac{\sqrt{c}}{9})$
39375	Expand the Logarithmic Expression	log base 3 of ( square root of f)/27	$\log_{3} (\frac{\sqrt{f}}{27})$
39376	Expand the Logarithmic Expression	log base 3 of ( square root of x)/27	$\log_{3} (\frac{\sqrt{x}}{27})$
39377	Expand the Logarithmic Expression	log base 2 of (x(x^2+1))/( square root of x^2-1)	$\log_{2} (\frac{x (x^{2} + 1)}{\sqrt{x^{2}} - 1})$
39378	Expand the Logarithmic Expression	log base 2 of (x(x^2+1))/( square root of x-1)	$\log_{2} (\frac{x (x^{2} + 1)}{\sqrt{x - 1}})$
39379	Expand the Logarithmic Expression	log base 2 of x- log base 2 of y square root of z^3	$\log_{2} (x - \log_{2} (y \sqrt{z^{3}}))$
39380	Find the Domain	y = square root of x-6	$y = \sqrt{x - 6}$
39381	Expand the Logarithmic Expression	log base 2 of sin(2x)	$\log_{2} (\sin (2 x))$
39382	Expand the Logarithmic Expression	log base 2 of u-2	$\log_{2} (u - 2)$
39383	Find the Domain	square root of x^2-5x+6	$\sqrt{x^{2} - 5 x + 6}$
39384	Expand the Logarithmic Expression	log base 2 of 8x^2+64x+128	$\log_{2} (8 x^{2} + 64 x + 128)$
39385	Expand the Logarithmic Expression	log base 2 of 8x^2+80x+200	$\log_{2} (8 x^{2} + 80 x + 200)$
39386	Expand the Logarithmic Expression	log base 2 of 8x^2+96x+288	$\log_{2} (8 x^{2} + 96 x + 288)$
39387	Expand the Logarithmic Expression	log base 2 of 8x^5	$\log_{2} (8 x^{5})$
39388	Expand the Logarithmic Expression	log base 2 of 8x^5y	$\log_{2} (8 x^{5} y)$
39389	Expand the Logarithmic Expression	log base 2 of 80 log base 2 of 10	$\log_{2} (80) \log_{2} (10)$
39390	Expand the Logarithmic Expression	log base 3 of (x^2y^3)/(4 square root of z)	$\log_{3} (\frac{x^{2} y^{3}}{4 \sqrt{z}})$
39391	Expand the Logarithmic Expression	log base 3 of (x^2)/(y^7)	$\log_{3} (\frac{x^{2}}{y^{7}})$
39392	Expand the Logarithmic Expression	log base 3 of (x^2)/(81y^4)	$\log_{3} (\frac{x^{2}}{81 y^{4}})$
39393	Expand the Logarithmic Expression	log base 3 of (x^3)/2	$\log_{3} (\frac{x^{3}}{2})$
39394	Expand the Logarithmic Expression	log base 3 of (x^4)/(y^8)	$\log_{3} (\frac{x^{4}}{y^{8}})$
39395	Expand the Logarithmic Expression	log base 3 of (x^5y^7)/8	$\log_{3} (\frac{x^{5} y^{7}}{8})$
39396	Expand the Logarithmic Expression	log base 3 of (x^6y^7)/7	$\log_{3} (\frac{x^{6} y^{7}}{7})$
39397	Expand the Logarithmic Expression	log base 3 of (xy^4)/(z^4)	$\log_{3} (\frac{x y^{4}}{z^{4}})$
39398	Expand the Logarithmic Expression	log base 3 of (xy^4)/(z^5)	$\log_{3} (\frac{x y^{4}}{z^{5}})$
39399	Expand the Logarithmic Expression	log base 3 of (y^3)/(100 cube root of x)	$\log_{3} (\frac{y^{3}}{100 \sqrt[3]{x}})$
39400	Expand the Logarithmic Expression	log base 3 of ( square root of xz)/(y^5)	$\log_{3} (\frac{\sqrt{x z}}{y^{5}})$