Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39501	Expand the Logarithmic Expression	log base 5 of z/25	$\log_{5} (\frac{z}{25})$
39502	Expand the Logarithmic Expression	log base 5 of z^4	$\log_{5} (z^{4})$
39503	Expand the Logarithmic Expression	log base 5 of 10x+15y	$\log_{5} (10 x + 15 y)$
39504	Expand the Logarithmic Expression	log base 5 of 11107^5	$\log_{5} (11 \cdot 10 \cdot 7^{5})$
39505	Expand the Logarithmic Expression	log base 5 of 20x+5y	$\log_{5} (20 x + 5 y)$
39506	Expand the Logarithmic Expression	log base 5 of (125x( square root of x+1))/((x-3)^4)	$\log_{5} (\frac{125 x (\sqrt{x + 1})}{{(x - 3)}^{4}})$
39507	Expand the Logarithmic Expression	log base 5 of 14	$\log_{5} (14)$
39508	Expand the Logarithmic Expression	log base 5 of 15	$\log_{5} (15)$
39509	Expand the Logarithmic Expression	log base 5 of 150	$\log_{5} (150)$
39510	Expand the Logarithmic Expression	log base 5 of 5^(-5x-9)	$\log_{5} (5^{- 5 x - 9})$
39511	Expand the Logarithmic Expression	log base 5 of (5pi)/(11k)	$\log_{5} (\frac{5 π}{11 k})$
39512	Expand the Logarithmic Expression	log base 5 of 25/( square root of x+7)	$\log_{5} (\frac{25}{\sqrt{x + 7}})$
39513	Expand the Logarithmic Expression	log base 5 of 3/8	$\log_{5} (\frac{3}{8})$
39514	Expand the Logarithmic Expression	log base 5 of 44/17	$\log_{5} (\frac{44}{17})$
39515	Expand the Logarithmic Expression	log base 5 of (5 square root of 7)/3	$\log_{5} (\frac{5 \sqrt{7}}{3})$
39516	Expand the Logarithmic Expression	log base 5 of (5 square root of y)/(x^2)	$\log_{5} (\frac{5 \sqrt{y}}{x^{2}})$
39517	Expand the Logarithmic Expression	log base 5 of 5/36	$\log_{5} (\frac{5}{36})$
39518	Expand the Logarithmic Expression	log base 5 of square root of (x-4)/(x+4)	$\log_{5} (\sqrt{\frac{x - 4}{x + 4}})$
39519	Expand the Logarithmic Expression	log base 5 of square root of (x-8)/(x+8)	$\log_{5} (\sqrt{\frac{x - 8}{x + 8}})$
39520	Expand the Logarithmic Expression	log base 5 of square root of z/x	$\log_{5} (\sqrt{\frac{z}{x}})$
39521	Expand the Logarithmic Expression	log base 5 of square root of 25	$\log_{5} (\sqrt{25})$
39522	Expand the Logarithmic Expression	log base 5 of square root of 50	$\log_{5} (\sqrt{50})$
39523	Expand the Logarithmic Expression	log base 5 of square root of 6x	$\log_{5} (\sqrt{6 x})$
39524	Expand the Logarithmic Expression	log base 5 of square root of 8	$\log_{5} (\sqrt{8})$
39525	Expand the Logarithmic Expression	log base 5 of ( square root of a(b^2))/(c^5)	$\log_{5} (\frac{\sqrt{a} (b^{2})}{c^{5}})$
39526	Expand the Logarithmic Expression	log base 5 of square root of k	$\log_{5} (\sqrt{k})$
39527	Expand the Logarithmic Expression	log base 5 of square root of x	$\log_{5} (\sqrt{x})$
39528	Expand the Logarithmic Expression	log base 5 of square root of x- log base 5 of x^7	$\log_{5} (\sqrt{x}) - \log_{5} (x^{7})$
39529	Expand the Logarithmic Expression	log base 5 of cube root of (x^2+1)/(x^(2-1))	$\log_{5} (\sqrt[3]{\frac{x^{2} + 1}{x^{2 - 1}}})$
39530	Expand the Logarithmic Expression	log base 5 of cube root of 1/25	$\log_{5} (\sqrt[3]{\frac{1}{25}})$
39531	Expand the Logarithmic Expression	log base 5 of ( cube root of x^2y)/25	$\log_{5} (\frac{\sqrt[3]{x^{2} y}}{25})$
39532	Expand the Logarithmic Expression	log base 5 of ( cube root of m seventh root of n)/(k^2)	$\log_{5} (\frac{\sqrt[3]{m} \sqrt[7]{n}}{k^{2}})$
39533	Expand the Logarithmic Expression	log base 5 of ( fourth root of p* ninth root of q)/(t^2)	$\log_{5} (\frac{\sqrt[4]{p} \cdot \sqrt[9]{q}}{t^{2}})$
39534	Expand the Logarithmic Expression	log base 5 of ( eighth root of P ninth root of q)/(t^2)	$\log_{5} (\frac{\sqrt[8]{P} \sqrt[9]{q}}{t^{2}})$
39535	Expand the Logarithmic Expression	log base 5 of (x^2)/(y^2z^3)	$\log_{5} (\frac{x^{2}}{y^{2} z^{3}})$
39536	Expand the Logarithmic Expression	log base 5 of (x^2)/(y^3z^4)	$\log_{5} (\frac{x^{2}}{y^{3} z^{4}})$
39537	Expand the Logarithmic Expression	log base 5 of (x^2)/y	$\log_{5} (\frac{x^{2}}{y})$
39538	Expand the Logarithmic Expression	log base 5 of (x^2-6x+8)/( fourth root of x+1(6x-19)^3)	$\log_{5} (\frac{x^{2} - 6 x + 8}{\sqrt[4]{x + 1} {(6 x - 19)}^{3}})$
39539	Expand the Logarithmic Expression	log base 5 of (x^((3vy:4)))/z	$\log_{5} (\frac{x^{(3 v y : 4)}}{z})$
39540	Expand the Logarithmic Expression	log base 5 of (x^3)/(y^2z^3)	$\log_{5} (\frac{x^{3}}{y^{2} z^{3}})$
39541	Expand the Logarithmic Expression	log base 5 of (x^4)/(y^4z^9)	$\log_{5} (\frac{x^{4}}{y^{4} z^{9}})$
39542	Expand the Logarithmic Expression	log base 5 of (x^5)/(y^7)	$\log_{5} (\frac{x^{5}}{y^{7}})$
39543	Expand the Logarithmic Expression	log base 5 of (x^8y^7)/2	$\log_{5} (\frac{x^{8} y^{7}}{2})$
39544	Expand the Logarithmic Expression	log base 5 of (xy^2)/(z^3)	$\log_{5} (\frac{x y^{2}}{z^{3}})$
39545	Expand the Logarithmic Expression	log base 5 of 1/(z^2)	$\log_{5} (\frac{1}{z^{2}})$
39546	Expand the Logarithmic Expression	log base 5 of 1/250	$\log_{5} (\frac{1}{250})$
39547	Expand the Logarithmic Expression	log base 5 of 1/50	$\log_{5} (\frac{1}{50})$
39548	Expand the Logarithmic Expression	log base 5 of 125/( square root of x+3)	$\log_{5} (\frac{125}{\sqrt{x + 3}})$
39549	Expand the Logarithmic Expression	log base 5 of (12a)/2	$\log_{5} (\frac{12 a}{2})$
39550	Expand the Logarithmic Expression	log base 5 of 2/3	$\log_{5} (\frac{2}{3})$
39551	Expand the Logarithmic Expression	log base 5 of (25m^4)/(n^5)	$\log_{5} (\frac{25 m^{4}}{n^{5}})$
39552	Expand the Logarithmic Expression	log base 5 of 25/( square root of x+2)	$\log_{5} (\frac{25}{\sqrt{x + 2}})$
39553	Expand the Logarithmic Expression	log base 5 of 25/( square root of x+4)	$\log_{5} (\frac{25}{\sqrt{x + 4}})$
39554	Expand the Logarithmic Expression	log base 5 of ( square root of y)/125	$\log_{5} (\frac{\sqrt{y}}{125})$
39555	Expand the Logarithmic Expression	log base 5 of ( square root of y)/25	$\log_{5} (\frac{\sqrt{y}}{25})$
39556	Expand the Logarithmic Expression	log base 5 of ( square root of z)/125	$\log_{5} (\frac{\sqrt{z}}{125})$
39557	Expand the Logarithmic Expression	log base 4 of xz	$\log_{4} (x z)$
39558	Expand the Logarithmic Expression	log base 4 of z square root of xy	$\log_{4} (z \sqrt{x y})$
39559	Expand the Logarithmic Expression	log base 49 of 81	$\log_{49} (81)$
39560	Expand the Logarithmic Expression	log base 5.6 of 60	$\log_{5.6} (60)$
39561	Expand the Logarithmic Expression	log base 5 of 25/( square root of x-1)	$\log_{5} (\frac{25}{\sqrt{x - 1}})$
39562	Expand the Logarithmic Expression	log base 5 of ( cube root of p fourth root of q)/(t^2)	$\log_{5} (\frac{\sqrt[3]{p} \sqrt[4]{q}}{t^{2}})$
39563	Expand the Logarithmic Expression	log base 5 of ( eighth root of m cube root of n)/(k^2)	$\log_{5} (\frac{\sqrt[8]{m} \sqrt[3]{n}}{k^{2}})$
39564	Expand the Logarithmic Expression	log base 5 of (x^10)/(x-4)	$\log_{5} (\frac{x^{10}}{x - 4})$
39565	Expand the Logarithmic Expression	log base 5 of (5x^2)/y	$\log_{5} (\frac{5 x^{2}}{y})$
39566	Expand the Logarithmic Expression	log base 5 of (5p)/(6k)	$\log_{5} (\frac{5 p}{6 k})$
39567	Expand the Logarithmic Expression	log base 5 of (x^2(1-5x)^(3/2))/( square root of x^3-x)	$\log_{5} (\frac{x^{2} {(1 - 5 x)}^{\frac{3}{2}}}{\sqrt{x^{3} - x}})$
39568	Expand the Logarithmic Expression	log base 5 of (a^2)/( cube root of bc)	$\log_{5} (\frac{a^{2}}{\sqrt[3]{b c}})$
39569	Expand the Logarithmic Expression	log base 5 of (m^2)/( cube root of n)	$\log_{5} (\frac{m^{2}}{\sqrt[3]{n}})$
39570	Expand the Logarithmic Expression	log base 5 of (u^3)/(v^2)	$\log_{5} (\frac{u^{3}}{v^{2}})$
39571	Expand the Logarithmic Expression	log base 5 of ( square root of c)/125	$\log_{5} (\frac{\sqrt{c}}{125})$
39572	Expand the Logarithmic Expression	log base 4 of 16x^3	$\log_{4} (16 x^{3})$
39573	Expand the Logarithmic Expression	log base 4 of 16x^8	$\log_{4} (16 x^{8})$
39574	Expand the Logarithmic Expression	log base 4 of 16x^2y	$\log_{4} (16 x^{2} y)$
39575	Expand the Logarithmic Expression	log base 4 of 16x+4y	$\log_{4} (16 x + 4 y)$
39576	Expand the Logarithmic Expression	log base 4 of x* sixth root of y	$\log_{4} (x \cdot \sqrt[6]{y})$
39577	Expand the Logarithmic Expression	log base 4 of x-6/(x^5)	$\log_{4} (x - \frac{6}{x^{5}})$
39578	Expand the Logarithmic Expression	log base 4 of x-6	$\log_{4} (x - 6)$
39579	Expand the Logarithmic Expression	log base 4 of 8x^3	$\log_{4} (8 x^{3})$
39580	Expand the Logarithmic Expression	log base 4 of 81	$\log_{4} (81)$
39581	Expand the Logarithmic Expression	log base 4 of 8y	$\log_{4} (8 y)$
39582	Expand the Logarithmic Expression	log base 4 of natural log of 115/( natural log of 4)	$\log_{4} (\ln (\frac{115}{\ln (4)}))$
39583	Expand the Logarithmic Expression	log base 4 of 4x+8y	$\log_{4} (4 x + 8 y)$
39584	Expand the Logarithmic Expression	log base 4 of 61	$\log_{4} (61)$
39585	Expand the Logarithmic Expression	log base 4 of 64xy^2	$\log_{4} (64) x y^{2}$
39586	Expand the Logarithmic Expression	log base 4 of 64 square root of x	$\log_{4} (64 \sqrt{x})$
39587	Expand the Logarithmic Expression	log base 4 of 64x^5	$\log_{4} (64 x^{5})$
39588	Expand the Logarithmic Expression	log base 4 of 7* log base 7 of 16	$\log_{4} (7) \cdot \log_{7} (16)$
39589	Expand the Logarithmic Expression	log base 4 of 7x^3y	$\log_{4} (7 x^{3} y)$
39590	Expand the Logarithmic Expression	log base 7 of (x^9)/(x-5)	$\log_{7} (\frac{x^{9}}{x - 5})$
39591	Expand the Logarithmic Expression	log base 7 of 1/(z^3)	$\log_{7} (\frac{1}{z^{3}})$
39592	Expand the Logarithmic Expression	log base 7 of 1/(z^6)	$\log_{7} (\frac{1}{z^{6}})$
39593	Expand the Logarithmic Expression	log base 7 of 1/(z^7)	$\log_{7} (\frac{1}{z^{7}})$
39594	Expand the Logarithmic Expression	log base 7 of (11 square root of r)/s	$\log_{7} (\frac{11 \sqrt{r}}{s})$
39595	Expand the Logarithmic Expression	log base 7 of 31/10	$\log_{7} (\frac{31}{10})$
39596	Expand the Logarithmic Expression	log base 7 of 32/5	$\log_{7} (\frac{32}{5})$
39597	Expand the Logarithmic Expression	log base 7 of 6/q	$\log_{7} (\frac{6}{q})$
39598	Expand the Logarithmic Expression	log base 7 of (7 square root of 3)/(11v)	$\log_{7} (\frac{7 \sqrt{3}}{11 v})$
39599	Expand the Logarithmic Expression	log base 6 of yz	$\log_{6} (y z)$
39600	Expand the Logarithmic Expression	log base 7 of 7^(2x)	$\log_{7} (7^{2 x})$