Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21601	Simplify/Condense	e^( natural log of v)	$e^{\ln (v)}$
21602	Simplify/Condense	e^( natural log of 8x^2- natural log of 2x^2)	$e^{\ln (8 x^{2}) - \ln (2 x^{2})}$
21603	Simplify/Condense	e^( natural log of A+B)-e^( natural log of 1/A+1/B)	$e^{\ln (A + B)} - e^{\ln (\frac{1}{A} + \frac{1}{B})}$
21604	Simplify/Condense	e^( natural log of 4x^4)	$e^{\ln (4 x^{4})}$
21605	Simplify/Condense	e^( natural log of 4x^5)	$e^{\ln (4 x^{5})}$
21606	Simplify/Condense	e^( natural log of 400)	$e^{\ln (400)}$
21607	Simplify/Condense	e^4( natural log of 3)	$e^{4} (\ln (3))$
21608	Simplify/Condense	e^(4+ natural log of x)	$e^{4 + \ln (x)}$
21609	Simplify/Condense	e^(4 natural log of x-5 natural log of y^2+ log of 10^(x/y))	$e^{4 \ln (x) - 5 \ln (y^{2}) + \log (10^{\frac{x}{y}})}$
21610	Simplify/Condense	e^(5 natural log of x-1)	$e^{5 \ln (x - 1)}$
21611	Simplify/Condense	e^(6-3 natural log of x)+ natural log of y	$e^{6 - 3 \ln (x)} + \ln (y)$
21612	Simplify/Condense	e^(6 natural log of x)+cos(x)	$e^{6 \ln (x)} + \cos (x)$
21613	Simplify/Condense	e^(6 natural log of x-3)	$e^{6 \ln (x - 3)}$
21614	Simplify/Condense	e^(7-2 natural log of x+ natural log of y)	$e^{7 - 2 \ln (x) + \ln (y)}$
21615	Simplify/Condense	e^(-7- natural log of x)	$e^{- 7 - \ln (x)}$
21616	Simplify/Condense	e^(9-2 natural log of x+ natural log of y)	$e^{9 - 2 \ln (x) + \ln (y)}$
21617	Simplify/Condense	e^( natural log of 0.1)	$e^{\ln (0.1)}$
21618	Simplify/Condense	e^(- natural log of 3/2)	$e^{- \ln (\frac{3}{2})}$
21619	Simplify/Condense	e^( natural log of square root of 13)	$e^{\ln (\sqrt{13})}$
21620	Simplify/Condense	e^( natural log of x^23)	$e^{\ln (x^{23})}$
21621	Simplify/Condense	e^( natural log of x^3)	$e^{\ln (x^{3})}$
21622	Simplify/Condense	e^( natural log of 120)	$e^{\ln (120)}$
21623	Simplify/Condense	e^( natural log of 124)	$e^{\ln (124)}$
21624	Simplify/Condense	e^( natural log of 125)	$e^{\ln (125)}$
21625	Simplify/Condense	e^( natural log of 137)	$e^{\ln (137)}$
21626	Simplify/Condense	e^( natural log of 15x^2- natural log of 3x^3)	$e^{\ln (15 x^{2}) - \ln (3 x^{3})}$
21627	Simplify/Condense	e^( natural log of 2x^4)	$e^{\ln (2 x^{4})}$
21628	Simplify/Condense	e^( natural log of 2x)	$e^{\ln (2 x)}$
21629	Simplify/Condense	e^( natural log of 2x+3)	$e^{\ln (2 x + 3)}$
21630	Simplify/Condense	e^( natural log of 3)	$e^{\ln (3)}$
21631	Simplify/Condense	e^( natural log of 3)+e^( natural log of 2)-e^( natural log of e)	$e^{\ln (3)} + e^{\ln (2)} - e^{\ln (e)}$
21632	Simplify/Condense	e^( natural log of 3x^3)	$e^{\ln (3 x^{3})}$
21633	Simplify/Condense	( log of u)/3+( log of v)/3+( log of w)/3	$\frac{\log (u)}{3} + \frac{\log (v)}{3} + \frac{\log (w)}{3}$
21634	Simplify/Condense	log of (x)^2- log of (x)^3	$\log ({(x)}^{2}) - \log ({(x)}^{3})$
21635	Simplify/Condense	( log of x-3)/( square root of 18-3x)	$\frac{\log (x - 3)}{\sqrt{18 - 3 x}}$
21636	Simplify/Condense	log of (xy)^3	$\log ({(x y)}^{3})$
21637	Simplify/Condense	log of (xy)^5	$\log ({(x y)}^{5})$
21638	Simplify/Condense	log base 0.25 of x	$\log_{0.25} (x)$
21639	Simplify/Condense	log base 0.5 of 5	$\log_{0.5} (5)$
21640	Simplify/Condense	log base 0.7 of 12.2	$\log_{0.7} (12.2)$
21641	Simplify/Condense	log base 1/2 of 8	$\log_{\frac{1}{2}} (8)$
21642	Simplify/Condense	log base 1/3 of 9=x	$\log_{\frac{1}{3}} (9) = x$
21643	Simplify/Condense	log base 1/4 of 2	$\log_{\frac{1}{4}} (2)$
21644	Simplify/Condense	log base 1/5 of 1/125	$\log_{\frac{1}{5}} (\frac{1}{125})$
21645	Simplify/Condense	log base 1/5 of 125	$\log_{\frac{1}{5}} (125)$
21646	Simplify/Condense	log base 1/5 of 625	$\log_{\frac{1}{5}} (625)$
21647	Simplify/Condense	log base 3/4 of 24	$\log_{\frac{3}{4}} (24)$
21648	Simplify/Condense	log base 0.5 of 1/25* log base 12 of 144	$\log_{0.5} (\frac{1}{25}) \cdot \log_{12} (144)$
21649	Simplify/Condense	log base 1.00833333 of 2	$\log_{1.008\overline{3}} (2)$
21650	Simplify/Condense	log base 1 of 1/7	$\log_{1} (\frac{1}{7})$
21651	Simplify/Condense	log base 1 of x^2-25- log base 7 of x-5	$\log_{1} (x^{2} - 25) - \log_{7} (x - 5)$
21652	Simplify/Condense	log base 1 of 49	$\log_{1} (49)$
21653	Simplify/Condense	log base 1 of x-5 log base 1 of y^4	$\log_{1} (x) - 5 \log_{1} (y^{4})$
21654	Simplify/Condense	( log of 27)/( log of 2)+3	$\frac{\log (27)}{\log (2)} + 3$
21655	Simplify/Condense	( log of 27)/( log of 3)	$\frac{\log (27)}{\log (3)}$
21656	Simplify/Condense	log of 3(1/x)^2	$\log (3) {(\frac{1}{x})}^{2}$
21657	Simplify/Condense	( log of 32)/( log of 8)	$\frac{\log (32)}{\log (8)}$
21658	Simplify/Condense	log of (4)^13	$\log ({(4)}^{13})$
21659	Simplify/Condense	( log of 45)/( log of b)	$\frac{\log (45)}{\log (b)}$
21660	Simplify/Condense	log of (4m)^2	$\log ({(4 m)}^{2})$
21661	Simplify/Condense	( log of 53)/( log of 8)	$\frac{\log (53)}{\log (8)}$
21662	Simplify/Condense	( log of 57)/(56 log of 7csc(4.9/( square root of 78)))	$\frac{\log (57)}{56 \log (7 \csc (\frac{4.9}{\sqrt{78}}))}$
21663	Simplify/Condense	( log of 6)/( log of 1/36)	$\frac{\log (6)}{\log (\frac{1}{36})}$
21664	Simplify/Condense	log of (6)^(36x^3)	$\log ({(6)}^{36 x^{3}})$
21665	Simplify/Condense	log of (6)^6	$\log ({(6)}^{6})$
21666	Simplify/Condense	( log of 7)/( log of 8)*( log of 9)/( log of 7)	$\frac{\log (7)}{\log (8)} \cdot \frac{\log (9)}{\log (7)}$
21667	Simplify/Condense	( log of 72)/( log of 37)	$\frac{\log (72)}{\log (37)}$
21668	Simplify/Condense	( log of 8)/( log of 5)	$\frac{\log (8)}{\log (5)}$
21669	Simplify/Condense	log of (8)^(2x^5)+ log of (8)^x-3 log of (8)^(x^2)	$\log ({(8)}^{2 x^{5}}) + \log ({(8)}^{x}) - 3 \log ({(8)}^{x^{2}})$
21670	Simplify/Condense	( log of 81)/( log of 3)-( log of 3)/( log of 3)	$\frac{\log (81)}{\log (3)} - \frac{\log (3)}{\log (3)}$
21671	Simplify/Condense	( log of 9)/( log of 6)	$\frac{\log (9)}{\log (6)}$
21672	Simplify/Condense	e^( natural log of z)	$e^{\ln (z)}$
21673	Simplify/Condense	e^(x-2* natural log of x)	$e^{x - 2 \cdot \ln (x)}$
21674	Simplify/Condense	(e natural log of 10)/(2 natural log of e)	$\frac{e \ln (10)}{2 \ln (e)}$
21675	Simplify/Condense	(e log of 90+ natural log of 7)/( log of 3+ natural log of 40)	$\frac{e \log (90) + \ln (7)}{\log (3) + \ln (40)}$
21676	Simplify/Condense	f^-1(x) natural log of x+5+ natural log of 2	$f^{- 1} (x) \ln (x + 5) + \ln (2)$
21677	Simplify/Condense	( natural log of 0.41)/-0.00012097	$\frac{\ln (0.41)}{- 0.0\overline{001209}}$
21678	Simplify/Condense	( natural log of 0.50)/-0.00012	$\frac{\ln (0.5)}{- 0.00012}$
21679	Simplify/Condense	natural log of ((8x)/(16x))^(1/2)+ natural log of 4x^2	$\ln ({(\frac{8 x}{16 x})}^{\frac{1}{2}}) + \ln (4 x^{2})$
21680	Simplify/Condense	natural log of (((x-4)^2)/(x^2-1))^(2/3)	$\ln ({(\frac{{(x - 4)}^{2}}{x^{2} - 1})}^{\frac{2}{3}})$
21681	Simplify/Condense	natural log of (e)^11-12	$\ln ({(e)}^{11}) - 12$
21682	Simplify/Condense	natural log of (e)^2- natural log of 5	$\ln ({(e)}^{2}) - \ln (5)$
21683	Simplify/Condense	natural log of (e)^250- natural log of square root of e	$\ln ({(e)}^{250}) - \ln (\sqrt{e})$
21684	Simplify/Condense	natural log of (e)^(3x)	$\ln ({(e)}^{3 x})$
21685	Simplify/Condense	natural log of (e)^(-5x)	$\ln ({(e)}^{- 5 x})$
21686	Simplify/Condense	natural log of (e)^-6	$\ln ({(e)}^{- 6})$
21687	Simplify/Condense	natural log of (e)^9	$\ln ({(e)}^{9})$
21688	Simplify/Condense	( natural log of y)/(6 natural log of 2)	$\frac{\ln (y)}{6 \ln (2)}$
21689	Simplify/Condense	( log of 0.002)/( log of 0.5)*3	$\frac{\log (0.002)}{\log (0.5)} \cdot 3$
21690	Simplify/Condense	( log of 1/( square root of 5))/( log of 5)	$\frac{\log (\frac{1}{\sqrt{5}})}{\log (5)}$
21691	Simplify/Condense	log of (1/3)^6	$\log ({(\frac{1}{3})}^{6})$
21692	Simplify/Condense	log of (1/4)^x	$\log ({(\frac{1}{4})}^{x})$
21693	Simplify/Condense	log of (1/5)^625	$\log ({(\frac{1}{5})}^{625})$
21694	Simplify/Condense	log of ((100x^2)/( square root of y))^(3/5)	$\log ({(\frac{100 x^{2}}{\sqrt{y}})}^{\frac{3}{5}})$
21695	Simplify/Condense	( log of 2^( square root of 3))/( log of 2)	$\frac{\log (2^{\sqrt{3}})}{\log (2)}$
21696	Simplify/Condense	log of ( square root of 2)^8	$\log ({(\sqrt{2})}^{8})$
21697	Simplify/Condense	( log of cube root of 49)/( log of 7)	$\frac{\log (\sqrt[3]{49})}{\log (7)}$
21698	Simplify/Condense	log of (0.1)^2	$\log ({(0.1)}^{2})$
21699	Simplify/Condense	log of (10)^-17	$\log ({(10)}^{- 17})$
21700	Simplify/Condense	log of (10)^18	$\log ({(10)}^{18})$