Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21701	Simplify/Condense	log of (10)^2.9	$\log ({(10)}^{2.9})$
21702	Simplify/Condense	log of (10)^513+ log of (10)^56	$\log ({(10)}^{513}) + \log ({(10)}^{56})$
21703	Simplify/Condense	log of (10)^7	$\log ({(10)}^{7})$
21704	Simplify/Condense	log of (100)^0.1	$\log ({(100)}^{0.1})$
21705	Simplify/Condense	( log of 11)/( log of 6)+2	$\frac{\log (11)}{\log (6)} + 2$
21706	Simplify/Condense	( log of 12)/( log of 8)-8	$\frac{\log (12)}{\log (8)} - 8$
21707	Simplify/Condense	( log of 12- log of 4)/( log of 15+ log of 5)	$\frac{\log (12) - \log (4)}{\log (15) + \log (5)}$
21708	Simplify/Condense	( log of 16)/( log of 8)	$\frac{\log (16)}{\log (8)}$
21709	Simplify/Condense	( log of 2)/(8 log of 1.04)	$\frac{\log (2)}{8 \log (1.04)}$
21710	Simplify/Condense	5^(3 log base 5 of 2)	$5^{3 \log_{5} (2)}$
21711	Simplify/Condense	5^(5 log of (1/5)^x)	$5^{5 \log ({(\frac{1}{5})}^{x})}$
21712	Simplify/Condense	5^( log of 5*8)	$5^{\log (5) \cdot 8}$
21713	Simplify/Condense	(56000 natural log of 0.61)/( natural log of 2)	$\frac{56000 \ln (0.61)}{\ln (2)}$
21714	Simplify/Condense	(5600 natural log of 0.74)/( natural log of 2)	$\frac{5600 \ln (0.74)}{\ln (2)}$
21715	Simplify/Condense	6/7*( log base 6 of square root of 108-1 log base 6 of 2/( square root of 3)+3 log base 6 of 9+ log base 6 of 256)	$\frac{6}{7} \cdot (\log_{6} (\sqrt{108}) - 1 \log_{6} (\frac{2}{\sqrt{3}}) + 3 \log_{6} (9) + \log_{6} (256))$
21716	Simplify/Condense	6^( log base 36 of 9)	$6^{\log_{36} (9)}$
21717	Simplify/Condense	6^( log base 6 of 5)	$6^{\log_{6} (5)}$
21718	Simplify/Condense	6^( log base 6 of 9x+6)	$6^{\log_{6} (9 x + 6)}$
21719	Simplify/Condense	6^( log base 6 of x)	$6^{\log_{6} (x)}$
21720	Simplify/Condense	(7e^( natural log of 2+ natural log of 3))/2-15	$\frac{7 e^{\ln (2) + \ln (3)}}{2} - 15$
21721	Simplify/Condense	7/2* log base 7 of z-4	$\frac{7}{2} \cdot \log_{7} (z - 4)$
21722	Simplify/Condense	7/2*( log of 7(z-4))	$\frac{7}{2} \cdot (\log (7) (z - 4))$
21723	Simplify/Condense	7/2* log of x- log of 3y+ log of 7z	$\frac{7}{2} \cdot \log (x) - \log (3 y) + \log (7 z)$
21724	Simplify/Condense	7/2* log of x- log of 3y+ log of z	$\frac{7}{2} \cdot \log (x) - \log (3 y) + \log (z)$
21725	Simplify/Condense	-7/8* log base 5 of 5m^2+1/2* log base 5 of 25m^2	$- \frac{7}{8} \cdot \log_{5} (5 m^{2}) + \frac{1}{2} \cdot \log_{5} (25 m^{2})$
21726	Simplify/Condense	7^( log base 7 of 3.2)	$7^{\log_{7} (3.2)}$
21727	Simplify/Condense	7^( log base 7 of e)	$7^{\log_{7} (e)}$
21728	Simplify/Condense	7^-2 log base 7 of 3	$7^{- 2} \log_{7} (3)$
21729	Simplify/Condense	7^(30 log base 7 of x)	$7^{30 \log_{7} (x)}$
21730	Simplify/Condense	7^( log of 7^8)	$7^{\log (7^{8})}$
21731	Simplify/Condense	-8/9* log base 5 of 5m^2+1/2* log base 5 of 25m^2	$- \frac{8}{9} \cdot \log_{5} (5 m^{2}) + \frac{1}{2} \cdot \log_{5} (25 m^{2})$
21732	Simplify/Condense	8^( log base 2 of 5)	$8^{\log_{2} (5)}$
21733	Simplify/Condense	9/2* log base 7 of z-4	$\frac{9}{2} \cdot \log_{7} (z - 4)$
21734	Simplify/Condense	9/2* log of x- log of 9y+ log of z	$\frac{9}{2} \cdot \log (x) - \log (9 y) + \log (z)$
21735	Simplify/Condense	9^( log base 3 of 2)	$9^{\log_{3} (2)}$
21736	Simplify/Condense	9^( log base 3 of 20)	$9^{\log_{3} (20)}$
21737	Simplify/Condense	9^( log base 3 of x)	$9^{\log_{3} (x)}$
21738	Simplify/Condense	(3 natural log of 2)/( natural log of 5- natural log of x+3 natural log of 2)	$\frac{3 \ln (2)}{\ln (5) - \ln (x) + 3 \ln (2)}$
21739	Simplify/Condense	4/5*( natural log of y-2 natural log of 3)	$\frac{4}{5} \cdot (\ln (y - 2) \ln (3))$
21740	Simplify/Condense	4^((( log base 4 of 10000^1)/( log base 4 of 4/5))-2)	$4^{(\frac{\log_{4} (10000^{1})}{\log_{4} (\frac{4}{5})}) - 2}$
21741	Simplify/Condense	4^( log base 4 of 9)+ log base 3 of (3)^-3	$4^{\log_{4} (9)} + \log_{3} ({(3)}^{- 3})$
21742	Simplify/Condense	-(4 natural log of 15)/(3 natural log of 11- natural log of 15)	$- \frac{4 \ln (15)}{3 \ln (11) - \ln (15)}$
21743	Simplify/Condense	3/7* log of 4^x-2 log of 4^y-5 log of 4^z	$\frac{3}{7} \cdot \log (4^{x}) - 2 \log (4^{y}) - 5 \log (4^{z})$
21744	Simplify/Condense	3^(2 log base 3 of 5)	$3^{2 \log_{3} (5)}$
21745	Simplify/Condense	3^(2- log base 9 of 16)	$3^{2 - \log_{9} (16)}$
21746	Simplify/Condense	e^(-2 natural log of x)	$e^{- 2 \ln (x)}$
21747	Simplify/Condense	e^(2 natural log of x-1)	$e^{2 \ln (x - 1)}$
21748	Simplify/Condense	e^(3( natural log of x))	$e^{3 (\ln (x))}$
21749	Simplify/Condense	e^(3-6 natural log of x+ natural log of y)	$e^{3 - 6 \ln (x) + \ln (y)}$
21750	Simplify/Condense	9 log of (x)^2-12 log of x log of y+4 log of (y)^2	$9 \log ({(x)}^{2}) - 12 \log (x) \log (y) + 4 \log ({(y)}^{2})$
21751	Simplify/Condense	e^((-1/2) natural log of x)	$e^{(- \frac{1}{2}) \ln (x)}$
21752	Simplify/Condense	e^(3 natural log of 4- natural log of 2)	$e^{3 \ln (4) - \ln (2)}$
21753	Simplify/Condense	e^(3 natural log of 5)	$e^{3 \ln (5)}$
21754	Simplify/Condense	e^(-3 natural log of x)	$e^{- 3 \ln (x)}$
21755	Simplify/Condense	9^( log base 9 of 24)	$9^{\log_{9} (24)}$
21756	Simplify/Condense	9^(2 log of 9*4)	$9^{2 \log (9) \cdot 4}$
21757	Simplify/Condense	9^4 log base 9 of 3	$9^{4} \log_{9} (3)$
21758	Simplify/Condense	5^( log base 5 of 18)	$5^{\log_{5} (18)}$
21759	Simplify/Condense	5^( log base 5 of 76)	$5^{\log_{5} (76)}$
21760	Simplify/Condense	5^( log base 5 of x)	$5^{\log_{5} (x)}$
21761	Simplify/Condense	e^(10-8 natural log of x+ natural log of y)	$e^{10 - 8 \ln (x) + \ln (y)}$
21762	Simplify/Condense	e^(10 natural log of x)	$e^{10 \ln (x)}$
21763	Simplify/Condense	e^(11 natural log of x)	$e^{11 \ln (x)}$
21764	Simplify/Condense	e^(2( natural log of 3))+2e^( natural log of 3)-15	$e^{2 (\ln (3))} + 2 e^{\ln (3)} - 15$
21765	Simplify/Condense	e^(2 natural log of (x)^2)	$e^{2 \ln ({(x)}^{2})}$
21766	Simplify/Condense	e^(2-6 natural log of x+ natural log of y)	$e^{2 - 6 \ln (x) + \ln (y)}$
21767	Simplify/Condense	e^(2 natural log of 2 square root of x)	$e^{2 \ln (2 \sqrt{x})}$
21768	Simplify/Condense	5/2* natural log of 4x^8-4/5* natural log of 2y^25	$\frac{5}{2} \cdot \ln (4 x^{8}) - \frac{4}{5} \cdot \ln (2 y^{25})$
21769	Simplify/Condense	5/2* log of x- log of 7y+ log of 3z	$\frac{5}{2} \cdot \log (x) - \log (7 y) + \log (3 z)$
21770	Simplify/Condense	5/5* log base 5 of square root of 5	$\frac{5}{5} \cdot \log_{5} (\sqrt{5})$
21771	Simplify/Condense	10^( log of 7)	$10^{\log (7)}$
21772	Simplify/Condense	10^( log of 77)	$10^{\log (77)}$
21773	Simplify/Condense	10^( log of t)	$10^{\log (t)}$
21774	Simplify/Condense	e^(-0.37*1.6)+ natural log of 1.6+1.41cos(1.6)	$e^{- 0.37 \cdot 1.6} + \ln (1.6) + 1.41 \cos (1.6)$
21775	Simplify/Condense	e^(3 natural log of x- natural log of x^3-2x+4)	$e^{3 \ln (x - \ln (x^{3} - 2 x + 4))}$
21776	Simplify/Condense	e^(-1/(8^8)) natural log of x	$e^{- \frac{1}{8^{8}}} \ln (x)$
21777	Simplify/Condense	e^(( natural log of 10* natural log of 11)/( natural log of 11+ natural log of 10))	$e^{\frac{\ln (10) \cdot \ln (11)}{\ln (11) + \ln (10)}}$
21778	Simplify/Condense	e^( natural log of (3x)^4)	$e^{\ln ({(3 x)}^{4})}$
21779	Simplify/Condense	e^(( natural log of 4)/2)	$e^{\frac{\ln (4)}{2}}$
21780	Simplify/Condense	e^( log of (e^2)^121)	$e^{\log ({(e^{2})}^{121})}$
21781	Simplify/Condense	e^( log of (e^2)^64)	$e^{\log ({(e^{2})}^{64})}$
21782	Simplify/Condense	3/2* log base 7 of z-5	$\frac{3}{2} \cdot \log_{7} (z - 5)$
21783	Simplify/Condense	3/2* natural log of 5t^6-3/4* natural log of t^4	$\frac{3}{2} \cdot \ln (5 t^{6}) - \frac{3}{4} \cdot \ln (t^{4})$
21784	Simplify/Condense	3/2* natural log of 16x^10-1/5* natural log of 2y^30	$\frac{3}{2} \cdot \ln (16 x^{10}) - \frac{1}{5} \cdot \ln (2 y^{30})$
21785	Simplify/Condense	3/4* log base 3 of 7+2-4	$\frac{3}{4} \cdot \log_{3} (7 + 2) - 4$
21786	Simplify/Condense	3/4* log base a of 2y	$\frac{3}{4} \cdot \log_{a} (2 y)$
21787	Simplify/Condense	25^( log base 25 of 125)	$25^{\log_{25} (125)}$
21788	Simplify/Condense	260/(( log of 4.510^8)/(1.210^8))*3.3	$\frac{260}{\frac{\log (4.5 \cdot 10^{8})}{1.2 \cdot 10^{8}}} \cdot 3.3$
21789	Simplify/Condense	27^( log base 27 of 3x)	$27^{\log_{27} (3 x)}$
21790	Simplify/Condense	(2 natural log of square root of 8)/3	$\frac{2 \ln (\sqrt{8})}{3}$
21791	Simplify/Condense	(2 natural log of 2)/(8 natural log of 2- natural log of 6)	$\frac{2 \ln (2)}{8 \ln (2) - \ln (6)}$
21792	Simplify/Condense	(2 log of 12)/12-( log of 100)/2	$\frac{2 \log (12)}{12} - \frac{\log (100)}{2}$
21793	Simplify/Condense	(2 log of x)/12-( log of 100)/2	$\frac{2 \log (x)}{12} - \frac{\log (100)}{2}$
21794	Simplify/Condense	(-3e^(-3 natural log of x))/x	$\frac{- 3 e^{- 3 \ln (x)}}{x}$
21795	Simplify/Condense	3/2* natural log of (16x)^10-2/5* natural log of (2y)^10	$\frac{3}{2} \cdot \ln ({(16 x)}^{10}) - \frac{2}{5} \cdot \ln ({(2 y)}^{10})$
21796	Simplify/Condense	2^( log base 2 of 5)-3 log base 5 of cube root of 5	$2^{\log_{2} (5)} - 3 \log_{5} (\sqrt[3]{5})$
21797	Simplify/Condense	2^(3 log base 0.5 of x)	$2^{3 \log_{0.5} (x)}$
21798	Simplify/Condense	2/3* log base 72 of 27+3/4* log base 72 of 16	$\frac{2}{3} \cdot \log_{72} (27) + \frac{3}{4} \cdot \log_{72} (16)$
21799	Simplify/Condense	-2/3* log base 8 of 4x^2+1/2* log base 8 of 16x^2	$- \frac{2}{3} \cdot \log_{8} (4 x^{2}) + \frac{1}{2} \cdot \log_{8} (16 x^{2})$
21800	Simplify/Condense	2/3* natural log of 27+ natural log of 20-3 natural log of 8	$\frac{2}{3} \cdot \ln (27) + \ln (20) - 3 \ln (8)$