Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
23401	Simplify/Condense	log base 5 of x+3- log base 5 of 2x=2	$\log_{5} (x + 3) - \log_{5} (2 x) = 2$
23402	Simplify/Condense	log base 53 of 1700	$\log_{53} (1700)$
23403	Simplify/Condense	log base 6 of (x^13)/(x-7)	$\log_{6} (\frac{x^{13}}{x - 7})$
23404	Simplify/Condense	log base 6 of 1/36+ log base 6 of 6^2+5^( log base 6 of 1)	$\log_{6} (\frac{1}{36}) + \log_{6} (6^{2}) + 5^{\log_{6} (1)}$
23405	Simplify/Condense	log base 6 of 1/6	$\log_{6} (\frac{1}{6})$
23406	Simplify/Condense	log base 6 of 36^2	$\log_{6} (36^{2})$
23407	Simplify/Condense	log base 6 of 6^x	$\log_{6} (6^{x})$
23408	Simplify/Condense	log base c of ninth root of c	$\log_{c} (\sqrt[9]{c})$
23409	Simplify/Condense	log base c of 10- log base c of 3	$\log_{c} (10) - \log_{c} (3)$
23410	Simplify/Condense	log base c of m- log base c of n- log base c of z	$\log_{c} (m) - \log_{c} (n) - \log_{c} (z)$
23411	Simplify/Condense	log base b of x+ log base b of y+ log base b of z	$\log_{b} (x) + \log_{b} (y) + \log_{b} (z)$
23412	Simplify/Condense	log base c of c^c	$\log_{c} (c^{c})$
23413	Simplify/Condense	log base c of u^8v^3	$\log_{c} (u^{8} v^{3})$
23414	Simplify/Condense	log base c of cube root of c	$\log_{c} (\sqrt[3]{c})$
23415	Simplify/Condense	log base b of a log base c of b log base a of c	$\log_{b} (a) \log_{c} (b) \log_{a} (c)$
23416	Simplify/Condense	log base 9 of 8- log base 9 of 11	$\log_{9} (8) - \log_{9} (11)$
23417	Simplify/Condense	log base b of 225	$\log_{b} (225)$
23418	Simplify/Condense	log base b of 25+ log base b of 7	$\log_{b} (25) + \log_{b} (7)$
23419	Simplify/Condense	log base b of 3b^2	$\log_{b} (3 b^{2})$
23420	Simplify/Condense	log base b of 44+ log base b of 88	$\log_{b} (44) + \log_{b} (88)$
23421	Simplify/Condense	log base b of ninth root of (x^7)/(y^9z^8)	$\log_{b} (\sqrt[9]{\frac{x^{7}}{y^{9} z^{8}}})$
23422	Simplify/Condense	log base b of x^21y^42- log base b of z^14	$\log_{b} (x^{21} y^{42}) - \log_{b} (z^{14})$
23423	Simplify/Condense	log base b of x^5y	$\log_{b} (x^{5} y)$
23424	Simplify/Condense	log base b of 108	$\log_{b} (108)$
23425	Simplify/Condense	log base b of (b square root of b)/(b^2(c+1)^3(d-2))	$\log_{b} (\frac{b \sqrt{b}}{b^{2} {(c + 1)}^{3} (d - 2)})$
23426	Simplify/Condense	log base b of (y^5)(z)	$\log_{b} ((y^{5}) (z))$
23427	Simplify/Condense	log base b of (A^5c^2)/(d^6)	$\log_{b} (\frac{A^{5} c^{2}}{d^{6}})$
23428	Simplify/Condense	log base b of (m^5p^3)/(n^4b^8)	$\log_{b} (\frac{m^{5} p^{3}}{n^{4} b^{8}})$
23429	Simplify/Condense	log base b of (x^3y)/(z^7)	$\log_{b} (\frac{x^{3} y}{z^{7}})$
23430	Simplify/Condense	log base b of 1/10+ log base b of 30	$\log_{b} (\frac{1}{10}) + \log_{b} (30)$
23431	Simplify/Condense	log base b of 16/25	$\log_{b} (\frac{16}{25})$
23432	Simplify/Condense	log base b of 2.717/2.718	$\log_{b} (\frac{2.717}{2.718})$
23433	Simplify/Condense	log base b of 216^(2/3)+ log base b of 49^(1/2)- log base b of 49	$\log_{b} (216^{\frac{2}{3}}) + \log_{b} (49^{\frac{1}{2}}) - \log_{b} (49)$
23434	Simplify/Condense	log base b of 64^(1/2)	$\log_{b} (64^{\frac{1}{2}})$
23435	Simplify/Condense	log base b of 8/9	$\log_{b} (\frac{8}{9})$
23436	Simplify/Condense	log base b of 9/5	$\log_{b} (\frac{9}{5})$
23437	Simplify/Condense	log base b of b^k	$\log_{b} (b^{k})$
23438	Simplify/Condense	log base b of r^3	$\log_{b} (r^{3})$
23439	Simplify/Condense	log base b of u^9v^4	$\log_{b} (u^{9} v^{4})$
23440	Simplify/Condense	log base b of square root of 0.36- log base b of cube root of 0.83	$\log_{b} (\sqrt{0.36}) - \log_{b} (\sqrt[3]{0.83})$
23441	Simplify/Condense	log base b of square root of 1.099^3	$\log_{b} (\sqrt{{1.099}^{3}})$
23442	Simplify/Condense	log base b of square root of 13/25	$\log_{b} (\sqrt{\frac{13}{25}})$
23443	Simplify/Condense	log base b of square root of b^9	$\log_{b} (\sqrt{b^{9}})$
23444	Simplify/Condense	log base b of square root of x/b	$\log_{b} (\sqrt{\frac{x}{b}})$
23445	Simplify/Condense	log base a of 2.9- log base a of 3.2	$\log_{a} (2.9) - \log_{a} (3.2)$
23446	Simplify/Condense	log base a of 2p^2	$\log_{a} (2 p^{2})$
23447	Simplify/Condense	log base a of 98	$\log_{a} (98)$
23448	Simplify/Condense	log base a of 0.001+ log base a of 1000	$\log_{a} (0.001) + \log_{a} (1000)$
23449	Simplify/Condense	log base a of 1000000- log base a of 1000	$\log_{a} (1000000) - \log_{a} (1000)$
23450	Simplify/Condense	log base a of 16+2/5* log base a of 18-2/5* log base a of 9+ log base a of 1/(2^(12/5))	$\log_{a} (16) + \frac{2}{5} \cdot \log_{a} (18) - \frac{2}{5} \cdot \log_{a} (9) + \log_{a} (\frac{1}{2^{\frac{12}{5}}})$
23451	Simplify/Condense	log base a of bc- log base a of c/b	$\log_{a} (b c) - \log_{a} (\frac{c}{b})$
23452	Simplify/Condense	log base a of m- log base a of n+3 log base a of k	$\log_{a} (m) - \log_{a} (n) + 3 \log_{a} (k)$
23453	Simplify/Condense	0.5 natural log of 9x+3 natural log of 3x+2 natural log of y^2	$0.5 \ln (9 x) + 3 \ln (3 x) + 2 \ln (y^{2})$
23454	Simplify/Condense	0.60e^(( natural log of 0.56/0.60)/30)*180	$0.6 e^{\frac{\ln (\frac{0.56}{0.6})}{30}} \cdot 180$
23455	Simplify/Condense	0.688-190 natural log of 1-0.45	$0.688 - 190 \ln (1 - 0.45)$
23456	Simplify/Condense	1* natural log of x+x*1/x-1	$1 \cdot \ln (x) + x \cdot \frac{1}{x} - 1$
23457	Simplify/Condense	1.04-e(0.38 natural log of 3.84*0.54)	$1.04 - e (0.38 \ln (3.84) \cdot 0.54)$
23458	Simplify/Condense	1.04-e(0.38 natural log of 4.6-0.54)	$1.04 - e (0.38 \ln (4.6) - 0.54)$
23459	Simplify/Condense	1+ log base 0.9 of 1/2	$1 + \log_{0.9} (\frac{1}{2})$
23460	Simplify/Condense	1+ natural log of 3-4 natural log of x	$1 + \ln (3) - 4 \ln (x)$
23461	Simplify/Condense	10 log of 30- log of 6	$10 \log (30) - \log (6)$
23462	Simplify/Condense	10*( natural log of 14)/(6 natural log of 13+ natural log of 14)	$10 \cdot \frac{\ln (14)}{6 \ln (13) + \ln (14)}$
23463	Simplify/Condense	10* log of (4.3*10^-6)/(10^-12)	$10 \cdot \log (\frac{4.3 \cdot 10^{- 6}}{10^{- 12}})$
23464	Simplify/Condense	10* log of 142/(10^-12)	$10 \cdot \log (\frac{142}{10^{- 12}})$
23465	Simplify/Condense	10 log of (10)^112	$10 \log ({(10)}^{112})$
23466	Simplify/Condense	10 log of x/(10^-16)	$10 \log (\frac{x}{10^{- 16}})$
23467	Simplify/Condense	10 log of a+2/3* log of 64	$10 \log (a) + \frac{2}{3} \cdot \log (64)$
23468	Simplify/Condense	10 log base 12 of 7-3n-4	$10 \log_{12} (7 - 3 n) - 4$
23469	Simplify/Condense	10 log base 2 of square root of y	$10 \log_{2} (\sqrt{y})$
23470	Simplify/Condense	10 log base 4 of cube root of y	$10 \log_{4} (\sqrt[3]{y})$
23471	Simplify/Condense	10 log base 7 of fifth root of y	$10 \log_{7} (\sqrt[5]{y})$
23472	Simplify/Condense	100* log base b of A^2	$100 \cdot \log_{b} (A^{2})$
23473	Simplify/Condense	10 log of 14	$10 \log (14)$
23474	Simplify/Condense	10 log of 2-2/3* log of 512	$10 \log (2) - \frac{2}{3} \cdot \log (512)$
23475	Simplify/Condense	10 log of x+8 log of y-4 log of z	$10 \log (x) + 8 \log (y) - 4 \log (z)$
23476	Simplify/Condense	10 log of x-2 log of y	$10 \log (x) - 2 \log (y)$
23477	Simplify/Condense	10 log of x-8 log of x+2 log of x	$10 \log (x) - 8 \log (x) + 2 \log (x)$
23478	Simplify/Condense	11.11111111* natural log of 2	$11.\overline{1} \cdot \ln (2)$
23479	Simplify/Condense	11 log base 11 of 15- log of 3	$11 \log_{11} (15) - \log (3)$
23480	Simplify/Condense	11 log base 7 of x- log base 7 of x-4	$11 \log_{7} (x) - \log_{7} (x - 4)$
23481	Simplify/Condense	11 log base 9 of x-3-5 log base 9 of 2x	$11 \log_{9} (x - 3) - 5 \log_{9} (2 x)$
23482	Simplify/Condense	10 log of (10^-5)/(10^-12)	$10 \log (\frac{10^{- 5}}{10^{- 12}})$
23483	Simplify/Condense	10 log of 10^124.810^8	$10 \log (10^{12} \cdot 4.8 \cdot 10^{8})$
23484	Simplify/Condense	10 log of (10000i)/i	$10 \log (\frac{10000 i}{i})$
23485	Simplify/Condense	10 log of (210^x)/(110^-12)	$10 \log (\frac{2 \cdot 10^{x}}{1 \cdot 10^{- 12}})$
23486	Simplify/Condense	10 log of square root of x	$10 \log (\sqrt{x})$
23487	Simplify/Condense	10 log of square root of x+ log of 6x^3- log of x+5	$10 \log (\sqrt{x}) + \log (6 x^{3}) - \log (x + 5)$
23488	Simplify/Condense	(x log of 2+2 log of 32)/( log of 32)	$\frac{x \log (2) + 2 \log (32)}{\log (32)}$
23489	Simplify/Condense	y^5+1/3* natural log of x^12y^9-8 natural log of y	$y^{5} + \frac{1}{3} \cdot \ln (x^{12} y^{9}) - 8 \ln (y)$
23490	Simplify/Condense	y^5-x natural log of 70	$y^{5} - x \ln (70)$
23491	Simplify/Condense	0.25 natural log of 81+ natural log of 4	$0.25 \ln (81) + \ln (4)$
23492	Simplify/Condense	0.37 natural log of 324+0.05	$0.37 \ln (324) + 0.05$
23493	Simplify/Condense	0.37* natural log of 28000+0.05	$0.37 \cdot \ln (28000) + 0.05$
23494	Simplify/Condense	0.37* natural log of 36+0.05	$0.37 \cdot \ln (36) + 0.05$
23495	Simplify/Condense	0.41 natural log of 1+200/0.41	$0.41 \ln (1 + \frac{200}{0.41})$
23496	Simplify/Condense	log base r of 3/2	$\log_{r} (\frac{3}{2})$
23497	Simplify/Condense	x^( natural log of e^2)+e^(2 natural log of x)- natural log of e^2	$x^{\ln (e^{2})} + e^{2 \ln (x)} - \ln (e^{2})$
23498	Simplify/Condense	natural log of e^(\|-4x-5\|)	$\ln (e^{\| - 4 x - 5 \|})$
23499	Simplify/Condense	natural log of e^(\|-5x-5\|)	$\ln (e^{\| - 5 x - 5 \|})$
23500	Simplify/Condense	natural log of 4e^(3x)	$\ln (4 e^{3 x})$