Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37401	Expand the Logarithmic Expression	log of ( square root of 2y^5)/(z^9)	$\log (\frac{\sqrt{2} y^{5}}{z^{9}})$
37402	Expand the Logarithmic Expression	log of (x^7y^4)/(z^5)	$\log (\frac{x^{7} y^{4}}{z^{5}})$
37403	Expand the Logarithmic Expression	log of (10x^3 cube root of 6-x)/(7(x+2)^2)	$\log (\frac{10 x^{3} \sqrt[3]{6 - x}}{7 {(x + 2)}^{2}})$
37404	Expand the Logarithmic Expression	natural log of y square root of x/z	$\ln (y \sqrt{\frac{x}{z}})$
37405	Expand the Logarithmic Expression	natural log of yz	$\ln (y z)$
37406	Expand the Logarithmic Expression	log of (10^x)/(x(x^4+6)(x^6+4))	$\log (\frac{10^{x}}{x (x^{4} + 6) (x^{6} + 4)})$
37407	Expand the Logarithmic Expression	log of (10^x)/(x(x^6+4)(x^8+4))	$\log (\frac{10^{x}}{x (x^{6} + 4) (x^{8} + 4)})$
37408	Expand the Logarithmic Expression	log of (3^2x)/(4y)	$\log (\frac{3^{2} x}{4 y})$
37409	Expand the Logarithmic Expression	log of (6^6)/(11^36)	$\log (\frac{6^{6}}{11^{36}})$
37410	Expand the Logarithmic Expression	log of (a^2 cube root of b)/10	$\log (\frac{a^{2} \sqrt[3]{b}}{10})$
37411	Expand the Logarithmic Expression	log of (a^2)/(b^2 square root of c)	$\log (\frac{a^{2}}{b^{2} \sqrt{c}})$
37412	Expand the Logarithmic Expression	natural log of 10e^4	$\ln (10) e^{4}$
37413	Expand the Logarithmic Expression	natural log of 110	$\ln (110)$
37414	Expand the Logarithmic Expression	natural log of 12.5	$\ln (12.5)$
37415	Expand the Logarithmic Expression	natural log of 120	$\ln (120)$
37416	Expand the Logarithmic Expression	natural log of 12x	$\ln (12 x)$
37417	Expand the Logarithmic Expression	natural log of 14x	$\ln (14 x)$
37418	Expand the Logarithmic Expression	natural log of 150	$\ln (150)$
37419	Expand the Logarithmic Expression	natural log of 17e^3	$\ln (17 e^{3})$
37420	Expand the Logarithmic Expression	natural log of 17z^6	$\ln (17 z^{6})$
37421	Expand the Logarithmic Expression	natural log of 19x^5	$\ln (19 x^{5})$
37422	Expand the Logarithmic Expression	natural log of xyz^3	$\ln (x y z^{3})$
37423	Expand the Logarithmic Expression	natural log of xyz^8	$\ln (x y z^{8})$
37424	Expand the Logarithmic Expression	natural log of xyz^9	$\ln (x y z^{9})$
37425	Expand the Logarithmic Expression	natural log of y^48	$\ln (y^{48})$
37426	Expand the Logarithmic Expression	natural log of -0.04	$\ln (- 0.04)$
37427	Expand the Logarithmic Expression	natural log of 0.06	$\ln (0.06)$
37428	Expand the Logarithmic Expression	natural log of 0.8	$\ln (0.8)$
37429	Expand the Logarithmic Expression	natural log of 1(x-1)	$\ln (1 (x - 1))$
37430	Expand the Logarithmic Expression	natural log of (x+2)/(x-3)	$\ln (\frac{x + 2}{x - 3})$
37431	Expand the Logarithmic Expression	natural log of (x+4)/(e^(9x))	$\ln (\frac{x + 4}{e^{9 x}})$
37432	Expand the Logarithmic Expression	natural log of (x+7)/(e^(6x))	$\ln (\frac{x + 7}{e^{6 x}})$
37433	Expand the Logarithmic Expression	natural log of (x+7)/(e^(9x))	$\ln (\frac{x + 7}{e^{9 x}})$
37434	Expand the Logarithmic Expression	natural log of 3- natural log of 1	$\ln (3) - \ln (1)$
37435	Expand the Logarithmic Expression	natural log of 3*e^x	$\ln (3 \cdot e^{x})$
37436	Expand the Logarithmic Expression	natural log of 3.5	$\ln (3.5)$
37437	Expand the Logarithmic Expression	natural log of 3a^b	$\ln (3 a^{b})$
37438	Expand the Logarithmic Expression	natural log of 3 square root of x/y	$\ln (3 \sqrt{\frac{x}{y}})$
37439	Expand the Logarithmic Expression	natural log of 3 square root of x	$\ln (3 \sqrt{x})$
37440	Expand the Logarithmic Expression	natural log of 3x^2	$\ln (3 x^{2})$
37441	Expand the Logarithmic Expression	natural log of 3y^2	$\ln (3 y^{2})$
37442	Expand the Logarithmic Expression	natural log of 3x square root of ex	$\ln (3 x) \sqrt{e x}$
37443	Expand the Logarithmic Expression	natural log of 3x-4	$\ln (3 x - 4)$
37444	Expand the Logarithmic Expression	natural log of 4.05	$\ln (4.05)$
37445	Expand the Logarithmic Expression	natural log of 4-x^2	$\ln (4 - x^{2})$
37446	Expand the Logarithmic Expression	natural log of 2 square root of 3- natural log of cube root of 7	$\ln (2 \sqrt{3}) - \ln (\sqrt[3]{7})$
37447	Expand the Logarithmic Expression	natural log of 2x^(26(6) log of 3)	$\ln (2 x^{26 (6) \log (3)})$
37448	Expand the Logarithmic Expression	natural log of 2xe^2	$\ln (2 x e^{2})$
37449	Expand the Logarithmic Expression	natural log of 20	$\ln (20)$
37450	Expand the Logarithmic Expression	natural log of 20*10	$\ln (20 \cdot 10)$
37451	Expand the Logarithmic Expression	natural log of 25	$\ln (25)$
37452	Expand the Logarithmic Expression	natural log of 256 square root of 65(x*7)	$\ln (256 \sqrt{65}) (x \cdot 7)$
37453	Expand the Logarithmic Expression	natural log of 27	$\ln (27)$
37454	Expand the Logarithmic Expression	natural log of 27a	$\ln (27 a)$
37455	Expand the Logarithmic Expression	natural log of 2-x	$\ln (2 - x)$
37456	Expand the Logarithmic Expression	natural log of 2x+ natural log of x^2- natural log of 3y	$\ln (2 x) + \ln (x^{2}) - \ln (3 y)$
37457	Expand the Logarithmic Expression	natural log of xy^(2z^3)	$\ln (x y^{2 z^{3}})$
37458	Expand the Logarithmic Expression	natural log of 6.7917*10^-12	$\ln (6.7917 \cdot 10^{- 12})$
37459	Expand the Logarithmic Expression	natural log of (6(x^2))/(y^4)	$\ln (\frac{6 (x^{2})}{y^{4}})$
37460	Expand the Logarithmic Expression	natural log of 6 square root of x	$\ln (6 \sqrt{x})$
37461	Expand the Logarithmic Expression	natural log of 6e- natural log of 42+ natural log of 7e	$\ln (6 e) - \ln (42) + \ln (7 e)$
37462	Expand the Logarithmic Expression	natural log of 7e^6	$\ln (7 e^{6})$
37463	Expand the Logarithmic Expression	natural log of 7x^2-42x+63	$\ln (7 x^{2} - 42 x + 63)$
37464	Expand the Logarithmic Expression	natural log of 7x^2-49x+70	$\ln (7 x^{2} - 49 x + 70)$
37465	Expand the Logarithmic Expression	natural log of 72	$\ln (72)$
37466	Expand the Logarithmic Expression	natural log of 5e^b	$\ln (5 e^{b})$
37467	Expand the Logarithmic Expression	natural log of 5x^2	$\ln (5 x^{2})$
37468	Expand the Logarithmic Expression	natural log of 500	$\ln (500)$
37469	Expand the Logarithmic Expression	natural log of 55	$\ln (55)$
37470	Expand the Logarithmic Expression	natural log of 5x(21-x^34)(x+2)^2	$\ln (5 x (21 - x^{34}) {(x + 2)}^{2})$
37471	Expand the Logarithmic Expression	natural log of 5x square root of 1+3x	$\ln (5 x \sqrt{1 + 3 x})$
37472	Expand the Logarithmic Expression	natural log of 5(625x)	$\ln (5) (625 x)$
37473	Expand the Logarithmic Expression	natural log of 5.5	$\ln (5.5)$
37474	Expand the Logarithmic Expression	natural log of 5e^3	$\ln (5 e^{3})$
37475	Expand the Logarithmic Expression	natural log of 2x+3( natural log of x- natural log of y)	$\ln (2 x + 3) (\ln (x - \ln (y)))$
37476	Expand the Logarithmic Expression	natural log of 2x-3	$\ln (2 x - 3)$
37477	Expand the Logarithmic Expression	natural log of e(x+4)	$\ln (e (x + 4))$
37478	Expand the Logarithmic Expression	natural log of bc	$\ln (b c)$
37479	Expand the Logarithmic Expression	natural log of cos(2x)	$\ln (\cos (2 x))$
37480	Expand the Logarithmic Expression	natural log of cos(x)	$\ln (\cos (x))$
37481	Expand the Logarithmic Expression	natural log of df	$\ln (d f)$
37482	Expand the Logarithmic Expression	natural log of f square root of 3÷3	$\ln (f) \sqrt{3 \div 3}$
37483	Expand the Logarithmic Expression	natural log of l	$\ln (l)$
37484	Expand the Logarithmic Expression	natural log of natural log of e^(e^10)	$\ln (\ln (e^{e^{10}}))$
37485	Expand the Logarithmic Expression	natural log of natural log of e^(e^600)	$\ln (\ln (e^{e^{600}}))$
37486	Expand the Logarithmic Expression	- natural log of sin(x)	$- \ln (\sin (x))$
37487	Expand the Logarithmic Expression	natural log of square root of 5xy	$\ln (\sqrt{5} x y)$
37488	Expand the Logarithmic Expression	natural log of 8x^3	$\ln (8 x^{3})$
37489	Expand the Logarithmic Expression	natural log of 8-3x	$\ln (8 - 3 x)$
37490	Expand the Logarithmic Expression	natural log of 87	$\ln (87)$
37491	Expand the Logarithmic Expression	natural log of 7x+6e^(5x-4)	$\ln (7 x + 6) e^{5 x - 4}$
37492	Expand the Logarithmic Expression	natural log of 46	$\ln (46)$
37493	Expand the Logarithmic Expression	natural log of 9e^6	$\ln (9) e^{6}$
37494	Expand the Logarithmic Expression	natural log of 9m	$\ln (9 m)$
37495	Expand the Logarithmic Expression	natural log of 9y	$\ln (9 y)$
37496	Expand the Logarithmic Expression	natural log of a+b+ natural log of a-b-4 natural log of c	$\ln (a + b) + \ln (a - b) - 4 \ln (c)$
37497	Expand the Logarithmic Expression	natural log of a+b+ natural log of a-b-5 natural log of c	$\ln (a + b) + \ln (a - b) - 5 \ln (c)$
37498	Write in Exponential Form	4 log base 2 of x-3+ log base 2 of 2=5	$4 \log_{2} (x - 3) + \log_{2} (2) = 5$
37499	Write in Exponential Form	4 log of x=-1/3* log of x^2+1+2 log of x-1	$4 \log (x) = - \frac{1}{3} \cdot \log (x^{2} + 1) + 2 \log (x - 1)$
37500	Write in Exponential Form	5 natural log of 2x=20	$5 \ln (2 x) = 20$