Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39401	Expand the Logarithmic Expression	log base 3 of ( square root of y)/9	$\log_{3} (\frac{\sqrt{y}}{9})$
39402	Expand the Logarithmic Expression	log base 3 of ( cube root of 4)/(r^2q)	$\log_{3} (\frac{\sqrt[3]{4}}{r^{2} q})$
39403	Expand the Logarithmic Expression	log base 3 of ( fourth root of x^2-6)/( square root of 5+x^2)	$\log_{3} (\frac{\sqrt[4]{x^{2} - 6}}{\sqrt{5 + x^{2}}})$
39404	Expand the Logarithmic Expression	log base 3 of ( fourth root of x)/(a^2)	$\log_{3} (\frac{\sqrt[4]{x}}{a^{2}})$
39405	Expand the Logarithmic Expression	log base 3 of (x^(2/7)y^(19/2))/27	$\log_{3} (\frac{x^{\frac{2}{7}} y^{\frac{19}{2}}}{27})$
39406	Expand the Logarithmic Expression	log base 3 of (2xy^2)/( cube root of z)	$\log_{3} (\frac{2 x y^{2}}{\sqrt[3]{z}})$
39407	Expand the Logarithmic Expression	log base 3 of 27^x	$\log_{3} (27^{x})$
39408	Expand the Logarithmic Expression	log base 3 of 3^71	$\log_{3} (3^{71})$
39409	Expand the Logarithmic Expression	log base 3 of (3x)/( square root of x-1)	$\log_{3} (\frac{3 x}{\sqrt{x - 1}})$
39410	Expand the Logarithmic Expression	log base 3 of (4x)/(7y^9)	$\log_{3} (\frac{4 x}{7 y^{9}})$
39411	Expand the Logarithmic Expression	log base 3 of (5r^5)/( cube root of t^2)	$\log_{3} (\frac{5 r^{5}}{\sqrt[3]{t^{2}}})$
39412	Expand the Logarithmic Expression	log base 3 of (5 eighth root of x-5)/(27x^9)	$\log_{3} (\frac{5 \sqrt[8]{x - 5}}{27 x^{9}})$
39413	Expand the Logarithmic Expression	log base 3 of 9^2+ log base 3 of 7^4	$\log_{3} (9^{2}) + \log_{3} (7^{4})$
39414	Expand the Logarithmic Expression	log base 3 of 9^2*2^4	$\log_{3} (9^{2} \cdot 2^{4})$
39415	Expand the Logarithmic Expression	log base 3 of (a square root of b)/12	$\log_{3} (\frac{a \sqrt{b}}{12})$
39416	Expand the Logarithmic Expression	log base 3 of a^5	$\log_{3} (a^{5})$
39417	Split Using Partial Fraction Decomposition	(-3x^2+24x+21)/(x^2-8x+7)	$\frac{- 3 x^{2} + 24 x + 21}{x^{2} - 8 x + 7}$
39418	Expand the Logarithmic Expression	log base 3 of square root of (x^2)/(yz)	$\log_{3} (\sqrt{\frac{x^{2}}{y z}})$
39419	Expand the Logarithmic Expression	log base 3 of square root of (qpi)/2	$\log_{3} (\sqrt{\frac{q π}{2}})$
39420	Expand the Logarithmic Expression	log base 3 of square root of (rq)/6	$\log_{3} (\sqrt{\frac{r q}{6}})$
39421	Expand the Logarithmic Expression	log base 3 of square root of (tq)/5	$\log_{3} (\sqrt{\frac{t q}{5}})$
39422	Expand the Logarithmic Expression	log base 3 of square root of (xy)/7	$\log_{3} (\sqrt{\frac{x y}{7}})$
39423	Expand the Logarithmic Expression	log base 3 of square root of 2x	$\log_{3} (\sqrt{2 x})$
39424	Expand the Logarithmic Expression	log base 3 of square root of 7x	$\log_{3} (\sqrt{7 x})$
39425	Expand the Logarithmic Expression	log base 3 of square root of 9xy	$\log_{3} (\sqrt{9 x y})$
39426	Expand the Logarithmic Expression	log base 3 of square root of x	$\log_{3} (\sqrt{x})$
39427	Expand the Logarithmic Expression	log base 5 of 7 cube root of 10*3	$\log_{5} (7 \sqrt[3]{10 \cdot 3})$
39428	Expand the Logarithmic Expression	log base 5 of 7x^2	$\log_{5} (7 x^{2})$
39429	Expand the Logarithmic Expression	log base 5 of 7x	$\log_{5} (7 x)$
39430	Expand the Logarithmic Expression	log base 5 of 8.3	$\log_{5} (8.3)$
39431	Expand the Logarithmic Expression	log base 5 of 8x^3	$\log_{5} (8 x^{3})$
39432	Expand the Logarithmic Expression	log base 5 of 8x-x^4	$\log_{5} (8 x - x^{4})$
39433	Expand the Logarithmic Expression	log base 5 of 9-x^2	$\log_{5} (9 - x^{2})$
39434	Expand the Logarithmic Expression	log base 5 of uvw^4	$\log_{5} (u \cdot v \cdot w^{4})$
39435	Expand the Logarithmic Expression	log base 5 of 6x	$\log_{5} (6 x)$
39436	Expand the Logarithmic Expression	log base 5 of 6y	$\log_{5} (6 y)$
39437	Expand the Logarithmic Expression	log base 5 of 7- log base 5 of 6	$\log_{5} (7) - \log_{5} (6)$
39438	Expand the Logarithmic Expression	log base 5 of 7*11	$\log_{5} (7 \cdot 11)$
39439	Expand the Logarithmic Expression	log base 5 of 3n^4	$\log_{5} (3 n^{4})$
39440	Expand the Logarithmic Expression	log base 5 of 3 square root of (x^2y)/25	$\log_{5} (3 \sqrt{\frac{x^{2} y}{25}})$
39441	Expand the Logarithmic Expression	log base 5 of 2x+7y	$\log_{5} (2 x + 7 y)$
39442	Expand the Logarithmic Expression	log base 5 of 2z	$\log_{5} (2 z)$
39443	Expand the Logarithmic Expression	log base 5 of 5 square root of x	$\log_{5} (5 \sqrt{x})$
39444	Expand the Logarithmic Expression	log base 5 of 3x+2	$\log_{5} (3 x + 2)$
39445	Expand the Logarithmic Expression	log base 5 of 5x-1	$\log_{5} (5 x - 1)$
39446	Expand the Logarithmic Expression	log base 5 of 525- log base 5 of 21	$\log_{5} (525) - \log_{5} (21)$
39447	Expand the Logarithmic Expression	log base 6 of 6^(2x-1)	$\log_{6} (6^{2 x - 1})$
39448	Expand the Logarithmic Expression	log base 6 of 6^7	$\log_{6} (6^{7})$
39449	Expand the Logarithmic Expression	log base 6 of (6pi)/(5k)	$\log_{6} (\frac{6 π}{5 k})$
39450	Expand the Logarithmic Expression	log base 6 of 7/11	$\log_{6} (\frac{7}{11})$
39451	Expand the Logarithmic Expression	log base 6 of 7/5	$\log_{6} (\frac{7}{5})$
39452	Expand the Logarithmic Expression	log base 6 of 8^2*7^2	$\log_{6} (8^{2} \cdot 7^{2})$
39453	Expand the Logarithmic Expression	log base 6 of a/b	$\log_{6} (\frac{a}{b})$
39454	Expand the Logarithmic Expression	log base 6 of ab^4	$\log_{6} (a b^{4})$
39455	Expand the Logarithmic Expression	log base 6 of AB^7	$\log_{6} (A B^{7})$
39456	Expand the Logarithmic Expression	log base 6 of b/12	$\log_{6} (\frac{b}{12})$
39457	Expand the Logarithmic Expression	log base 6 of c^(5 cube root of a)	$\log_{6} (c^{5 \sqrt[3]{a}})$
39458	Expand the Logarithmic Expression	log base 6 of p^5	$\log_{6} (p^{5})$
39459	Expand the Logarithmic Expression	log base 6 of u^4v^4	$\log_{6} (u^{4} v^{4})$
39460	Expand the Logarithmic Expression	log base 6 of u^5v^3	$\log_{6} (u^{5} v^{3})$
39461	Expand the Logarithmic Expression	log base 6 of u^6v^9	$\log_{6} (u^{6} v^{9})$
39462	Expand the Logarithmic Expression	log base 6 of square root of a/b	$\log_{6} (\sqrt{\frac{a}{b}})$
39463	Expand the Logarithmic Expression	log base 6 of square root of c/36	$\log_{6} (\sqrt{\frac{c}{36}})$
39464	Expand the Logarithmic Expression	log base 6 of square root of dp^3	$\log_{6} (\sqrt{d p^{3}})$
39465	Expand the Logarithmic Expression	log base 5 of xyz^6	$\log_{5} (x \cdot y \cdot z^{6})$
39466	Expand the Logarithmic Expression	log base 5 of xz	$\log_{5} (x z)$
39467	Expand the Logarithmic Expression	log base 6 of (125 fifth root of r-4)/( square root of r)	$\log_{6} (\frac{125 \sqrt[5]{r - 4}}{\sqrt{r}})$
39468	Expand the Logarithmic Expression	log base 6 of (8x)/y	$\log_{6} (\frac{8 x}{y})$
39469	Expand the Logarithmic Expression	log base 6 of (r^2)/(s^5t)	$\log_{6} (\frac{r^{2}}{s^{5} t})$
39470	Expand the Logarithmic Expression	log base 6 of ( square root of 11)/10	$\log_{6} (\frac{\sqrt{11}}{10})$
39471	Expand the Logarithmic Expression	log base 6 of ( square root of f)/36	$\log_{6} (\frac{\sqrt{f}}{36})$
39472	Expand the Logarithmic Expression	log base 6 of (x^2-9)/(25x^2)	$\log_{6} (\frac{x^{2} - 9}{25 x^{2}})$
39473	Expand the Logarithmic Expression	log base 6 of (x^3)/( square root of yz^5)	$\log_{6} (\frac{x^{3}}{\sqrt{y z^{5}}})$
39474	Expand the Logarithmic Expression	log base 6 of (x^4)/(y^7)	$\log_{6} (\frac{x^{4}}{y^{7}})$
39475	Expand the Logarithmic Expression	log base 6 of (x^4)/(y^8)	$\log_{6} (\frac{x^{4}}{y^{8}})$
39476	Expand the Logarithmic Expression	log base 6 of (x^6)/(y^4)	$\log_{6} (\frac{x^{6}}{y^{4}})$
39477	Expand the Logarithmic Expression	log base 5 of seventh root of (x^6y)/25	$\log_{5} (\sqrt[7]{\frac{x^{6} y}{25}})$
39478	Expand the Logarithmic Expression	log base 5 of seventh root of y	$\log_{5} (\sqrt[7]{y})$
39479	Expand the Logarithmic Expression	log base 5 of (7 square root of u)/(u^3)	$\log_{5} (\frac{7 \sqrt{u}}{u^{3}})$
39480	Expand the Logarithmic Expression	log base 5 of 7/(a^3)	$\log_{5} (\frac{7}{a^{3}})$
39481	Expand the Logarithmic Expression	log base 5 of a/(b^2)	$\log_{5} (\frac{a}{b^{2}})$
39482	Expand the Logarithmic Expression	log base 5 of x^3y^3z	$\log_{5} (x^{3} y^{3} z)$
39483	Expand the Logarithmic Expression	log base 5 of x^5y^4	$\log_{5} (x^{5} y^{4})$
39484	Expand the Logarithmic Expression	log base 5 of x/6	$\log_{5} (\frac{x}{6})$
39485	Expand the Logarithmic Expression	log base 5 of cube root of x^2y-25	$\log_{5} (\sqrt[3]{x^{2} y} - 25)$
39486	Expand the Logarithmic Expression	log base 5 of AB^4	$\log_{5} (A B^{4})$
39487	Expand the Logarithmic Expression	log base 5 of AB^8	$\log_{5} (A B^{8})$
39488	Expand the Logarithmic Expression	log base 5 of M^2 square root of N	$\log_{5} (M^{2} \sqrt{N})$
39489	Expand the Logarithmic Expression	log base 5 of square root of s/t	$\log_{5} (\sqrt{\frac{s}{t}})$
39490	Expand the Logarithmic Expression	log base 5 of square root of x/25	$\log_{5} (\sqrt{\frac{x}{25}})$
39491	Expand the Logarithmic Expression	log base 5 of square root of x/y	$\log_{5} (\sqrt{\frac{x}{y}})$
39492	Expand the Logarithmic Expression	log base 5 of square root of x^5y	$\log_{5} (\sqrt{x^{5} y})$
39493	Expand the Logarithmic Expression	log base 5 of cube root of xz	$\log_{5} (\sqrt[3]{x z})$
39494	Expand the Logarithmic Expression	log base 5 of fourth root of 15	$\log_{5} (\sqrt[4]{15})$
39495	Expand the Logarithmic Expression	log base 5 of fourth root of 17	$\log_{5} (\sqrt[4]{17})$
39496	Expand the Logarithmic Expression	log base 5 of fifth root of (s^6t)/25	$\log_{5} (\sqrt[5]{\frac{s^{6} t}{25}})$
39497	Expand the Logarithmic Expression	log base 5 of fifth root of 25	$\log_{5} (\sqrt[5]{25})$
39498	Expand the Logarithmic Expression	log base 5 of x^6y^-3z^4	$\log_{5} (x^{6} y^{- 3} z^{4})$
39499	Expand the Logarithmic Expression	log base 5 of xy^3	$\log_{5} (x y^{3})$
39500	Expand the Logarithmic Expression	log base 5 of (xyz)/w	$\log_{5} (\frac{x y z}{w})$